Kamis, 15 Desember 2011
Minggu, 11 Desember 2011
Sabtu, 14 Mei 2011
ESTIMATION
ESTIMATION
Based on the Oxford Advanced Learner’s Dictionary there are two definitions of estimation.
The first definition of estimation is a judgement or opinion about the value or quality of somebody or something. For example, who is the best candidate in your estimation?
Meanwhile, the second definition of estimation is a judgement about the levels or quantity of something. For example, the estimation of our total sales is around 10 million.
Now study the following explanation.
How would listeners react if a football commentator announced that there were 48 271 people sitting in the stands at the Gelora Bung Karno waiting for the football match to begin? Does anyone care?
It is more usual to hear that there are 48 000 or 50 000 spectators as it is often not necessary to know the exact number of people. An estimate is enough, so the nearest rounded number is used.
We often need to use estimation when getting a precise answer is impossible, unnecessary, or inconvenient.
Estimation is not the same as a guess because it is based on information.
For example, we may know how many people are able to fit into the football ground and the approximate percentage of seats filled. We can use this information to produce our estimate.
In order to get the best estimation, there are some estimation strategies as follows:
• Estimate by Rounding
• Estimate by Clustering
• Estimate by Using Compatible Numbers
• Estimate by Using Front-End Estimation
• Rounding and Chopping
In this chapter we will discuss deeply about rounding and estimate by rounding. Meanwhile the others strategies will explain in brief as enrichment.
ROUNDING
In rounding strategies, we may round up, round down or round off to the nearest. For example, we round up Rp 85,000.00 to Rp 100,000.00 when we budget for a trip that will cost at least Rp 85,000.00. At NTUC supermarket, Singapore, the bill is round down to the nearest 5 cents. For example, if our bill is $ 12.03 then we pay $ 12.00.
In mathematics we round off the number to the nearest.
· Include one extra digit for consideration.
· Simply drop the extra digit if it is less than 5.
· If it is 5 or more, add 1 to the previous digit before dropping the extra digit.
Example 1
Round off the following number to (i) the nearest whole number, (ii) 2 decimal places, and (iii) 3 decimal places.
a. 9.7168 b. 19.2147 c. 0.82514
Solution:
a. (i) 9.7168 10 (ii) 9.7169 9.72 (iii) 9.7168 9.717
This digit is more than 5
This digit is more than 5
This digit is more than 5
b. (i) 19.2147 19 (ii) 19.2147 19.21 (iii) 19.2147 19.215
This digit is more than 5
This digit is less than 5
This digit is less than 5
c.
This digit is less than 5(i) 0.82514 1 (ii) 0.82514 0.83 (iii) 0.82514 0.825
This digit is more than 5
This digit is 5
Example 2
Round off the following number to (i) the nearest hundred and (ii) the nearest ten.
a. 179 b. 139 c. 124
Solution:
a. (i) 179 200 (ii) 179 180
b. (i) 139 100 (ii) 139 140
c. (i) 124 100 (ii) 124 120
EXERCISE 1
1. Write the following correct to (1) the nearest whole number and (ii) 2 decimal places:
a. 5.42467 b. 15.824 c. 7.862 d. 130.629
2. Write the following correct to 3 decimal places:
a. 712.8926 b. 0.00272 c. 0.8274 d. 7.024489
3. Express as decimal and give your answer correct to 3 decimal places.
4. Express the following fractions as decimal correct to 2 decimal places.
a. b. c. d.
5. Round off the following to (i) the nearest ten and (ii) the nearest hundred:
a. 7 029 c. 5 624 c. 8 790 d. 956
ESTIMATE BY ROUNDING
Example 1
Estimate the result of
a. 189.2 315.6
b.
Solution:
a. 189.2 x 315.6
Round off each number to the nearest hundred.
189.2 à 200
315.6 à 300
Then multiply 200 x 300
So, the product of 189.2 x 315.6 is about 60,000
b.
Round off each number to the nearest ten.
à 450
à 70
Then add 450 + 70
So, the sum of is about 520
EXERCISE 2
1. Estimate the answers to each of these:
a. 5961 + 1768
b. 432 – 192
c. 48 022 538
d. 9701 x 37
e. 98 631 + 608 897
f. 6501 + 3790
g. 11 890 – 3642
h. 83 481 1751
i. 112 000 x 83
j. 66 501 738
k. 392 x 113 486
l. 12 476 24
2. During a sale, one kilogram of fish was sold for £ 4.95. Estimate how many kilograms of fish you could buy with £20.
3. Without doing an exact calculation, determine whether you can afford all the items below if you have only £30.
· 1 two-kilogram bottle of corn oil for £6.95.
· 5 cans of peach at £1.95 per can.
· 300 g of beef at £1.02 per 100 g.
· 24 pockets of recombined milk at £2.85 for 6.
4. Estimate the value of 52.97603 – 31.32186
5. Estimate the value of
a. b.
THE OTHER ESTIMATE STRATEGIES
1. Estimate by Clustering
Example:
• 99.7 + 97.83 + 102.18 + 100.101 + 99.98
All of the numbers are close to 100.
There are five numbers.
The sum is about 5 x 100 = 500
•
All of the numbers are close to 15.
There are four numbers.
The sum is about 4 x 15 = 60
2. Estimate by Using Compatible Numbers
Example:
• 76.36 24.73
76.36 is close to 75.
24.73 is close to 25.
The quotient of 76.36 24.73 is about 75 25 = 3
•
is close to 7
is close to 21
The sum of is about 40
3. Estimate by Using Front-End Estimation
There are 4 techniques of estimate by using Front-End Estimation.
3.1 Range
Example:
• 257 + 576
Lowest range: 200 + 500 = 700
Highest range: 300 + 600 = 900
The sum is between 700 and 900
• 294 x 53
Lowest range: 200 x 50 = 10,000
Highest range: 300 x 60 = 18,000
The product is between 10,000 and 18,000
3.2 One Column
Example:
• 498 + 251
400 + 200 = 600
The sum is about 600
• 376 + 53 + 417
300 + 0 + 400 = 700
The sum is about 700
3.3 Two Column
Example:
• 458 + 251
450 + 250 = 700
The sum is about 700
• 376 + 53 + 417
370 + 50 + 410 = 830
The sum is about 830
3.4 With Adjustment
Example:
• 498 + 251
400 + 200 = 600
98 + 51 à 100 + 50 = 150
The sum is about 750
• 376 + 53 + 417
300 + 0 + 400 = 700
76 + 53 + 17 à 80 + 50 + 20 = 150
The sum is about 850
4. Rounding and Chopping
Example:
• 189.24 + 315.68 (To the nearest one decimal place)
Rounding Chopping
189.24 à 189.2 189.24 à 189.2
315.68 à 315.7 315.68 à 315.6
The sum is about 504.9 The sum is about 504.8
• + (To the nearest two decimal places)
Rounding Chopping
~ 453.20 ~ 453.20
~ 68.67 ~ 68.66
It is about 521.87 It is about 521.86
EXERCISE 3
1. Estimate the following by clustering:
a. 97.15 + 98.34 + 100.12 + 101.02
b. 200.17 + 198.23 + 199 + 202 + 209.11 + 197.99
c.
d.
2. Estimate the following by compatible number:
a. 124.56
b.
c.
d.
3. Estimate the following by Front-End Estimating (i) range, (ii) one column, (iii) two column, and (iv) with adjustment.
a. 254 + 34 - 312
b. 35 x 98
c. 3 467 + 5 456 + 8 712
d. 5668 x 321
4. Estimate the following by rounding and chopping:
a. 67.89 + 65.34 (two the nearest 1 place decimal)
b. 97.45 + 20.15 – 49.89 (to the nearest 1 place decimal)
c. 300.972 – 99.9832 (to the nearest 2 place decimals)
d. 0.9963 + 101.111 + 20.3415 (to the nearest 3 place decimals)
Based on the Oxford Advanced Learner’s Dictionary there are two definitions of estimation.
The first definition of estimation is a judgement or opinion about the value or quality of somebody or something. For example, who is the best candidate in your estimation?
Meanwhile, the second definition of estimation is a judgement about the levels or quantity of something. For example, the estimation of our total sales is around 10 million.
Now study the following explanation.
How would listeners react if a football commentator announced that there were 48 271 people sitting in the stands at the Gelora Bung Karno waiting for the football match to begin? Does anyone care?
It is more usual to hear that there are 48 000 or 50 000 spectators as it is often not necessary to know the exact number of people. An estimate is enough, so the nearest rounded number is used.
We often need to use estimation when getting a precise answer is impossible, unnecessary, or inconvenient.
Estimation is not the same as a guess because it is based on information.
For example, we may know how many people are able to fit into the football ground and the approximate percentage of seats filled. We can use this information to produce our estimate.
In order to get the best estimation, there are some estimation strategies as follows:
• Estimate by Rounding
• Estimate by Clustering
• Estimate by Using Compatible Numbers
• Estimate by Using Front-End Estimation
• Rounding and Chopping
In this chapter we will discuss deeply about rounding and estimate by rounding. Meanwhile the others strategies will explain in brief as enrichment.
ROUNDING
In rounding strategies, we may round up, round down or round off to the nearest. For example, we round up Rp 85,000.00 to Rp 100,000.00 when we budget for a trip that will cost at least Rp 85,000.00. At NTUC supermarket, Singapore, the bill is round down to the nearest 5 cents. For example, if our bill is $ 12.03 then we pay $ 12.00.
In mathematics we round off the number to the nearest.
· Include one extra digit for consideration.
· Simply drop the extra digit if it is less than 5.
· If it is 5 or more, add 1 to the previous digit before dropping the extra digit.
Example 1
Round off the following number to (i) the nearest whole number, (ii) 2 decimal places, and (iii) 3 decimal places.
a. 9.7168 b. 19.2147 c. 0.82514
Solution:
a. (i) 9.7168 10 (ii) 9.7169 9.72 (iii) 9.7168 9.717
This digit is more than 5
This digit is more than 5
This digit is more than 5
b. (i) 19.2147 19 (ii) 19.2147 19.21 (iii) 19.2147 19.215
This digit is more than 5
This digit is less than 5
This digit is less than 5
c.
This digit is less than 5(i) 0.82514 1 (ii) 0.82514 0.83 (iii) 0.82514 0.825
This digit is more than 5
This digit is 5
Example 2
Round off the following number to (i) the nearest hundred and (ii) the nearest ten.
a. 179 b. 139 c. 124
Solution:
a. (i) 179 200 (ii) 179 180
b. (i) 139 100 (ii) 139 140
c. (i) 124 100 (ii) 124 120
EXERCISE 1
1. Write the following correct to (1) the nearest whole number and (ii) 2 decimal places:
a. 5.42467 b. 15.824 c. 7.862 d. 130.629
2. Write the following correct to 3 decimal places:
a. 712.8926 b. 0.00272 c. 0.8274 d. 7.024489
3. Express as decimal and give your answer correct to 3 decimal places.
4. Express the following fractions as decimal correct to 2 decimal places.
a. b. c. d.
5. Round off the following to (i) the nearest ten and (ii) the nearest hundred:
a. 7 029 c. 5 624 c. 8 790 d. 956
ESTIMATE BY ROUNDING
Example 1
Estimate the result of
a. 189.2 315.6
b.
Solution:
a. 189.2 x 315.6
Round off each number to the nearest hundred.
189.2 à 200
315.6 à 300
Then multiply 200 x 300
So, the product of 189.2 x 315.6 is about 60,000
b.
Round off each number to the nearest ten.
à 450
à 70
Then add 450 + 70
So, the sum of is about 520
EXERCISE 2
1. Estimate the answers to each of these:
a. 5961 + 1768
b. 432 – 192
c. 48 022 538
d. 9701 x 37
e. 98 631 + 608 897
f. 6501 + 3790
g. 11 890 – 3642
h. 83 481 1751
i. 112 000 x 83
j. 66 501 738
k. 392 x 113 486
l. 12 476 24
2. During a sale, one kilogram of fish was sold for £ 4.95. Estimate how many kilograms of fish you could buy with £20.
3. Without doing an exact calculation, determine whether you can afford all the items below if you have only £30.
· 1 two-kilogram bottle of corn oil for £6.95.
· 5 cans of peach at £1.95 per can.
· 300 g of beef at £1.02 per 100 g.
· 24 pockets of recombined milk at £2.85 for 6.
4. Estimate the value of 52.97603 – 31.32186
5. Estimate the value of
a. b.
THE OTHER ESTIMATE STRATEGIES
1. Estimate by Clustering
Example:
• 99.7 + 97.83 + 102.18 + 100.101 + 99.98
All of the numbers are close to 100.
There are five numbers.
The sum is about 5 x 100 = 500
•
All of the numbers are close to 15.
There are four numbers.
The sum is about 4 x 15 = 60
2. Estimate by Using Compatible Numbers
Example:
• 76.36 24.73
76.36 is close to 75.
24.73 is close to 25.
The quotient of 76.36 24.73 is about 75 25 = 3
•
is close to 7
is close to 21
The sum of is about 40
3. Estimate by Using Front-End Estimation
There are 4 techniques of estimate by using Front-End Estimation.
3.1 Range
Example:
• 257 + 576
Lowest range: 200 + 500 = 700
Highest range: 300 + 600 = 900
The sum is between 700 and 900
• 294 x 53
Lowest range: 200 x 50 = 10,000
Highest range: 300 x 60 = 18,000
The product is between 10,000 and 18,000
3.2 One Column
Example:
• 498 + 251
400 + 200 = 600
The sum is about 600
• 376 + 53 + 417
300 + 0 + 400 = 700
The sum is about 700
3.3 Two Column
Example:
• 458 + 251
450 + 250 = 700
The sum is about 700
• 376 + 53 + 417
370 + 50 + 410 = 830
The sum is about 830
3.4 With Adjustment
Example:
• 498 + 251
400 + 200 = 600
98 + 51 à 100 + 50 = 150
The sum is about 750
• 376 + 53 + 417
300 + 0 + 400 = 700
76 + 53 + 17 à 80 + 50 + 20 = 150
The sum is about 850
4. Rounding and Chopping
Example:
• 189.24 + 315.68 (To the nearest one decimal place)
Rounding Chopping
189.24 à 189.2 189.24 à 189.2
315.68 à 315.7 315.68 à 315.6
The sum is about 504.9 The sum is about 504.8
• + (To the nearest two decimal places)
Rounding Chopping
~ 453.20 ~ 453.20
~ 68.67 ~ 68.66
It is about 521.87 It is about 521.86
EXERCISE 3
1. Estimate the following by clustering:
a. 97.15 + 98.34 + 100.12 + 101.02
b. 200.17 + 198.23 + 199 + 202 + 209.11 + 197.99
c.
d.
2. Estimate the following by compatible number:
a. 124.56
b.
c.
d.
3. Estimate the following by Front-End Estimating (i) range, (ii) one column, (iii) two column, and (iv) with adjustment.
a. 254 + 34 - 312
b. 35 x 98
c. 3 467 + 5 456 + 8 712
d. 5668 x 321
4. Estimate the following by rounding and chopping:
a. 67.89 + 65.34 (two the nearest 1 place decimal)
b. 97.45 + 20.15 – 49.89 (to the nearest 1 place decimal)
c. 300.972 – 99.9832 (to the nearest 2 place decimals)
d. 0.9963 + 101.111 + 20.3415 (to the nearest 3 place decimals)
Jumat, 06 Mei 2011
Peluang bisnis di Internet
Hai bro semua, :)
Mau tahu gimana caranya menghasilkan uang lewat internet ? anda bisa kok...menghasilkan uang dari internet, banyak peluang bisnis yg bisa anda lakukan, dari jasa sampai bikin peluang baru untuk bisnis online
Dapatkan penghasilan tambahan Dari Bisnis yang dijalankan dari Rumah Dengan modal kurang dari Rp 500 ribu. Anda Bingung BAGAIMANA CARANYA Dan Sangat Membutuhkan Panduan Atau Tuntunan ???
Stop….Kebingungan AndaP ? Ingin tahu gimana cara kerjanya?
Ok, Langsung join di http://www.kumpuljutawan.com/?id=fibrianti
Ok thx ya bro smua di tunggu join nya
Mau tahu gimana caranya menghasilkan uang lewat internet ? anda bisa kok...menghasilkan uang dari internet, banyak peluang bisnis yg bisa anda lakukan, dari jasa sampai bikin peluang baru untuk bisnis online
Dapatkan penghasilan tambahan Dari Bisnis yang dijalankan dari Rumah Dengan modal kurang dari Rp 500 ribu. Anda Bingung BAGAIMANA CARANYA Dan Sangat Membutuhkan Panduan Atau Tuntunan ???
Stop….Kebingungan AndaP ? Ingin tahu gimana cara kerjanya?
Ok, Langsung join di http://www.kumpuljutawan.com/?id=fibrianti
Ok thx ya bro smua di tunggu join nya
Kamis, 31 Maret 2011
Sabtu, 05 Februari 2011
TASK 2 / PPB1 / 2011
1. The area of rhombus ABCD is 24 cm2 and the length of diagonal AC is 8 cm. What is the length of BD?
2. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
3. The area of a rhombus is 36 cm2. If the proportion of the diagonals is 1:2, what are the lengths of the diagonals?
4. Show that the area of kite KLMN is 63 cm2, if LN = 12 cm, and KM = 10,5 cm.
5. Quadrilateral PQRS is a trapezoid with the parallel sides PS and QR, PQ = SR,
∠SPQ = 120°, and ∠SRP = 20°. What is the size of ∠PSQ ?
6. One of the parallel sides of a trapezoid is twice the other. The height of the trapezoid is the average of the parallel sides. If the area of the trapezoid is 324 cm2, find the lengths of the height and parallel sides of the trapezoid.
336/Student’s
7. ABC is triangle, if A is right angle, ∠B = (8x − 1)° and ∠C = (4x + 7)°.What is the sum of ∠B and ∠C?
2. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
3. The area of a rhombus is 36 cm2. If the proportion of the diagonals is 1:2, what are the lengths of the diagonals?
4. Show that the area of kite KLMN is 63 cm2, if LN = 12 cm, and KM = 10,5 cm.
5. Quadrilateral PQRS is a trapezoid with the parallel sides PS and QR, PQ = SR,
∠SPQ = 120°, and ∠SRP = 20°. What is the size of ∠PSQ ?
6. One of the parallel sides of a trapezoid is twice the other. The height of the trapezoid is the average of the parallel sides. If the area of the trapezoid is 324 cm2, find the lengths of the height and parallel sides of the trapezoid.
336/Student’s
7. ABC is triangle, if A is right angle, ∠B = (8x − 1)° and ∠C = (4x + 7)°.What is the sum of ∠B and ∠C?
TASK 1 / PPB 1 / 2011
1. < A and < B are complementary,if < A is ( 2x + 10 ) and < B = ( 3x + 5 ). Determine the value of x, < A and < B !
2.Determine the measure of two complementary angles whose measure difference is 15°.
3. There is an angle 5° smaller than the multiple of 4 of its supplement. Determine the measure of the angle.
4. The perimeter of a rectangle is 100 cm. The ratio of the length and the width of the rectangle is 3 : 2. Calculate the length and the width of the rectangle.
5. Pak Anwar will buy a piece of land forming a rectangle of 30 m long and 20 m wide. The price of the land is Rp 150,000.00 per m2. How much will Pak Anwar pay for the land?
6. ABCD is square.
a. If AC = 5x−19 and BD = 3x+7, find the lengths of the diagonals.
b. If AD = 4y−15 and AB = y+6, find the lengths of all sides.
7. The lengths of the sides of a new square are 3 times longer than the original. What is the ratio between the original area of the square and the new one?
8. Let RSTU be a parallelogram and ∠RST = 80°, calculate ∠SRU and ∠TUR.
9. KLMN is a parallelogram with diagonals KM and NL intersecting at point P. If KP = 4a+5, KM = 13a, and PL = a+8, what is the length of PN?
10. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
2.Determine the measure of two complementary angles whose measure difference is 15°.
3. There is an angle 5° smaller than the multiple of 4 of its supplement. Determine the measure of the angle.
4. The perimeter of a rectangle is 100 cm. The ratio of the length and the width of the rectangle is 3 : 2. Calculate the length and the width of the rectangle.
5. Pak Anwar will buy a piece of land forming a rectangle of 30 m long and 20 m wide. The price of the land is Rp 150,000.00 per m2. How much will Pak Anwar pay for the land?
6. ABCD is square.
a. If AC = 5x−19 and BD = 3x+7, find the lengths of the diagonals.
b. If AD = 4y−15 and AB = y+6, find the lengths of all sides.
7. The lengths of the sides of a new square are 3 times longer than the original. What is the ratio between the original area of the square and the new one?
8. Let RSTU be a parallelogram and ∠RST = 80°, calculate ∠SRU and ∠TUR.
9. KLMN is a parallelogram with diagonals KM and NL intersecting at point P. If KP = 4a+5, KM = 13a, and PL = a+8, what is the length of PN?
10. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…
PRACTICE PROBLEMS
1. Miss. Wati bought 1000 oranges for Rp 800 each. If 20% of it was given to her brother and the remainder are sold for Rp 1,200 each, then the percentage of profit is ….
a. 35% c. 15%
b. 20% d. 10%
2.selle r bought 4 quintals of rice for Rp 2,400,000. If he want to make a profit of 10% , so the selling price of the rice per kg will be ….
a. Rp 4,000.00 c.Rp 6,000.00
b. Rp 4,600.00 d.Rp 6,600.00
3. A Laptop was sold for Rp 5,100,000.00. If Mr. Joko made a loss 15%, what was the buying price of the laptop?
a. Rp 6,000,000.00 c. Rp 5,115,000.00
b. Rp 5,865,000.00 d. Rp 765,000.00
4. The gross weight of 4 sack of sugar is 200 kg and its tare is 2 %. What was the net weight of each sack of sugar ?
a. 52.00 kg c. 48.00 kg
b. 49.00 kg d. 46.00 kg
5. After the discount 20%, the price of 3 pairs of shoes is Rp 360,000.00. What is the price of each pair of shoes before the discount?
a. Rp 450,000.00 c. Rp. 150,000.00
b. Rp 300,000.00 d. Rp 120,000.00
6. Miss. Eny saves Rp 12,000,000.00 at BRI. How much money does Miss. Eny save after 9 months if BRI gives interest rate of 12% per year?
a. Rp 13,134,000.00 c. Rp 12,012,000.00
b. Rp 13,080,000.00 d. Rp 12,009,000.00
7. A map of Indonesia is created to a scale of 1:1,500,000. If the distance of Semarang and Purwokerto is 25 cm, then the fact distance is ….
a. 385 km c. 350 km
b. 375 km d. 300 km
8. An older brother is 4 years older than Adis` age. If the ratio of their ages is
7 : 5 , then their ages are ….
a. 14 and 10 years old c. 12 and 4 years old
b. 7 and 5 years old d. 7 and 4 years old
9. The price 5 kg of star fruit for Rp41,250.00. Then the price of 15 kg of it is ….
a. Rp113,750.00 c. Rp123,750.00
b. Rp121,250.00 d. Rp141,250.00
10. By using a car, the distance between two cities can be traveled in 5 hours at an average speed of 60 km/hour. After 3 hours traveled at the average speed 80km/hour, Andi take rest for 1 hours, then the speed are needed to finish on time suitable in his plan is ….
a. 80 km/hour c. 60 km/hour
b. 70 km/ hour d. 40km/hour
11. It is required 12 workers to built a house in 30 days. If the house is built in 20 days, how many workers are needed to built that house?
a. 25 workers c. 18 workers
b. 20 workers d. 16 workers
12. Mr. Hasan has animals` food supply for 24 goats in 6 days. If 8 goats are sold, then in how many days will the animals` food supply be exhausted?
a. 10 days c. 8 days
b. 9 days d. 7 days
13.The sum of two numbers is greater than 20. If the first number is treble of the second number. What is the value of second number?
a. x > -15 c. x > 5
b. x > -5 d. x > 15
14. A dozen books were bought at a price for Rp 75,000,00. They were then sold at a price for Rp 8,000,00 each. What was amount of profit earned ?
a. Rp 21,000,00 c. Rp 16,000.00
b. Rp 17,500.00 d. Rp 12,500.00
15. 23. Mr. Ahmad has (5x – 2) books, and Mrs. Eny has (3x + 4) books. The total of their books is 82. How many books does Mr. Ahmad have?
a. 10 c. 34
b. 15 d. 48
16. Given the sides of triangle are (2x + 5)cm, 4x cm and 5 cm. If its perimeter
28 cm , then x+2 = ….
a. 5 c. 3
b. 4 d. 2
17. The solution of - 4x + 6 < - x + 18, and x is integers. Then x are ….
a. -7, -6, -5, -4, … c. 0, 1, 2, 3, 4, …
b. -3, -2, -1, 0, 1,… d. 1, 2, 3, 4, …
18. 18. The length of the rectangle is (5x – 1), and the width is (2x + 3). Then the area of rectangle is ….
a. 10x2 – 13x – 3 c. 10x2 + 13x - 3
b. 10x2 – 13x + 3 d. 10x2 + 13x + 3
19.Which one in the following open sentences is Linear Equation in One Variable.
a. 3x = 9 c. 2x = 8
b. 2x + y = 0 d. 4y > 12
20. Given the open sentences
i. 4k – 20 = 36 iii. k – 5 = 9
ii. 4 – 20k = 36 iv. k = 14
Which one in the following open sentences are equivalent.
a. i and ii c. i and iii
b. ii and iv d. i, iii, and iv
21. The solution of 3(x + 2) = 2(3x – 6 ) is ….
a. -6 c. 3
b. -3 d. 6
22. LCM and GCD of 4x3y and 6x2y4z, consecutively are ….
a. 12x3y4z and 2x2yz c. 12x3y4z and 2x2y
b. 12x3y4z and 2x3y4 d. 12x3yz and 2x2y4
23.The expanded form from (2x + 4) (3x – 6) is …
a. 6x2 + 24x c. 6x2 + 24x + 24
b. 6x2 - 24 d. 6x2 + 24x + 24
24.The closest estimation of 38 : 49 is ….
a. 0.6 c. 0.8
b. 0.7 d. 0.9
25. The distance from the sun to the earth is approximately 149,000,000 km. Using scientific notation, we can write this number as …
a. 1.49 x 105 c. 1.49 x 107
b. 1.49 x 106 d. 1.49 x 108
26. Given 3x3 – 4x2 + 5x – 6. The coefficient of the 2nd term and the constant are ….
a. 4 and 6 c. 4 and – 6
b. – 4 and 5 d. – 4 and – 6
27. Look at the algebraic term below. Which pair is like terms?
a. 4 pqr and 7 prq c. 5 abc and 3 adc
b. 3xy2 and 4x2y d. 2xy and 2x2y
28. The simplest form of 6x2 + 4y + 3x2y – 2x2 – 4y - 2x2y is ….
a. 4x2 + x2y c. 2x2 – 2x2y
b. 2x2 + 2x2y d. 4x2 – x2y
29. In the test consists of 40 questions, each correct answer is rated 4, each incorrect answer s rated -1, and the questions which are left unanswered are rated 0. In the test, Alan answered 30 questions correctly and didnot answer 7 questions. What was Alan’s the total score?
a. 120 c. 113
b. 117 d. 110
30. If a = 3, b = 4, and c = -2, therefore the value of abc2 + bc, is ….
a. 40 c. 50
b. 48 d. 56
a. 35% c. 15%
b. 20% d. 10%
2.selle r bought 4 quintals of rice for Rp 2,400,000. If he want to make a profit of 10% , so the selling price of the rice per kg will be ….
a. Rp 4,000.00 c.Rp 6,000.00
b. Rp 4,600.00 d.Rp 6,600.00
3. A Laptop was sold for Rp 5,100,000.00. If Mr. Joko made a loss 15%, what was the buying price of the laptop?
a. Rp 6,000,000.00 c. Rp 5,115,000.00
b. Rp 5,865,000.00 d. Rp 765,000.00
4. The gross weight of 4 sack of sugar is 200 kg and its tare is 2 %. What was the net weight of each sack of sugar ?
a. 52.00 kg c. 48.00 kg
b. 49.00 kg d. 46.00 kg
5. After the discount 20%, the price of 3 pairs of shoes is Rp 360,000.00. What is the price of each pair of shoes before the discount?
a. Rp 450,000.00 c. Rp. 150,000.00
b. Rp 300,000.00 d. Rp 120,000.00
6. Miss. Eny saves Rp 12,000,000.00 at BRI. How much money does Miss. Eny save after 9 months if BRI gives interest rate of 12% per year?
a. Rp 13,134,000.00 c. Rp 12,012,000.00
b. Rp 13,080,000.00 d. Rp 12,009,000.00
7. A map of Indonesia is created to a scale of 1:1,500,000. If the distance of Semarang and Purwokerto is 25 cm, then the fact distance is ….
a. 385 km c. 350 km
b. 375 km d. 300 km
8. An older brother is 4 years older than Adis` age. If the ratio of their ages is
7 : 5 , then their ages are ….
a. 14 and 10 years old c. 12 and 4 years old
b. 7 and 5 years old d. 7 and 4 years old
9. The price 5 kg of star fruit for Rp41,250.00. Then the price of 15 kg of it is ….
a. Rp113,750.00 c. Rp123,750.00
b. Rp121,250.00 d. Rp141,250.00
10. By using a car, the distance between two cities can be traveled in 5 hours at an average speed of 60 km/hour. After 3 hours traveled at the average speed 80km/hour, Andi take rest for 1 hours, then the speed are needed to finish on time suitable in his plan is ….
a. 80 km/hour c. 60 km/hour
b. 70 km/ hour d. 40km/hour
11. It is required 12 workers to built a house in 30 days. If the house is built in 20 days, how many workers are needed to built that house?
a. 25 workers c. 18 workers
b. 20 workers d. 16 workers
12. Mr. Hasan has animals` food supply for 24 goats in 6 days. If 8 goats are sold, then in how many days will the animals` food supply be exhausted?
a. 10 days c. 8 days
b. 9 days d. 7 days
13.The sum of two numbers is greater than 20. If the first number is treble of the second number. What is the value of second number?
a. x > -15 c. x > 5
b. x > -5 d. x > 15
14. A dozen books were bought at a price for Rp 75,000,00. They were then sold at a price for Rp 8,000,00 each. What was amount of profit earned ?
a. Rp 21,000,00 c. Rp 16,000.00
b. Rp 17,500.00 d. Rp 12,500.00
15. 23. Mr. Ahmad has (5x – 2) books, and Mrs. Eny has (3x + 4) books. The total of their books is 82. How many books does Mr. Ahmad have?
a. 10 c. 34
b. 15 d. 48
16. Given the sides of triangle are (2x + 5)cm, 4x cm and 5 cm. If its perimeter
28 cm , then x+2 = ….
a. 5 c. 3
b. 4 d. 2
17. The solution of - 4x + 6 < - x + 18, and x is integers. Then x are ….
a. -7, -6, -5, -4, … c. 0, 1, 2, 3, 4, …
b. -3, -2, -1, 0, 1,… d. 1, 2, 3, 4, …
18. 18. The length of the rectangle is (5x – 1), and the width is (2x + 3). Then the area of rectangle is ….
a. 10x2 – 13x – 3 c. 10x2 + 13x - 3
b. 10x2 – 13x + 3 d. 10x2 + 13x + 3
19.Which one in the following open sentences is Linear Equation in One Variable.
a. 3x = 9 c. 2x = 8
b. 2x + y = 0 d. 4y > 12
20. Given the open sentences
i. 4k – 20 = 36 iii. k – 5 = 9
ii. 4 – 20k = 36 iv. k = 14
Which one in the following open sentences are equivalent.
a. i and ii c. i and iii
b. ii and iv d. i, iii, and iv
21. The solution of 3(x + 2) = 2(3x – 6 ) is ….
a. -6 c. 3
b. -3 d. 6
22. LCM and GCD of 4x3y and 6x2y4z, consecutively are ….
a. 12x3y4z and 2x2yz c. 12x3y4z and 2x2y
b. 12x3y4z and 2x3y4 d. 12x3yz and 2x2y4
23.The expanded form from (2x + 4) (3x – 6) is …
a. 6x2 + 24x c. 6x2 + 24x + 24
b. 6x2 - 24 d. 6x2 + 24x + 24
24.The closest estimation of 38 : 49 is ….
a. 0.6 c. 0.8
b. 0.7 d. 0.9
25. The distance from the sun to the earth is approximately 149,000,000 km. Using scientific notation, we can write this number as …
a. 1.49 x 105 c. 1.49 x 107
b. 1.49 x 106 d. 1.49 x 108
26. Given 3x3 – 4x2 + 5x – 6. The coefficient of the 2nd term and the constant are ….
a. 4 and 6 c. 4 and – 6
b. – 4 and 5 d. – 4 and – 6
27. Look at the algebraic term below. Which pair is like terms?
a. 4 pqr and 7 prq c. 5 abc and 3 adc
b. 3xy2 and 4x2y d. 2xy and 2x2y
28. The simplest form of 6x2 + 4y + 3x2y – 2x2 – 4y - 2x2y is ….
a. 4x2 + x2y c. 2x2 – 2x2y
b. 2x2 + 2x2y d. 4x2 – x2y
29. In the test consists of 40 questions, each correct answer is rated 4, each incorrect answer s rated -1, and the questions which are left unanswered are rated 0. In the test, Alan answered 30 questions correctly and didnot answer 7 questions. What was Alan’s the total score?
a. 120 c. 113
b. 117 d. 110
30. If a = 3, b = 4, and c = -2, therefore the value of abc2 + bc, is ….
a. 40 c. 50
b. 48 d. 56
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