Free Printable Middle1 U1

1.

Which of the following scale drawings is equivalent to "every 1 cm in the drawing represents 6.5 km in reality"?

a)

1 : 6,500,000

b)

1 : 650,000

c)

1 : 6.5

d)

1 : 6,500

2.

A piece of land with an area of 63 feddans was divided between two persons in the ratio 4 : 5. Which of the following could represent the share of either person?

a)

9

b)

45

c)

28

d)

30

3.

The length of an insect is 0.4 mm and its length after magnification is 6 cm, what is the magnification ratio?

a)

1 : 15

b)

15 : 1

c)

1 : 150

d)

150 : 1

4.

Bassem bought a refrigerator with a $10\%$ discount; if he saved 430 LE. What is the price of the refrigerator after discount?

a)

4300

b)

3870

c)

860

d)

430

5.

The ratio among the lengths of the sides of a triangle is 3 : 4 : 5, if its perimeter is 72 cm. What is the length of its greatest side?

a)

30 cm

b)

24 cm

c)

18 cm

d)

15 cm

6.

Which of the following pairs of ratios does not represent a proportion?

a)

$\frac{2}{5},\frac{4}{10}$

b)

$\frac{7}{14},\frac{2}{4}$

c)

$\frac{5}{3},\frac{25}{9}$

d)

$\frac{7}{3},\frac{35}{15}$

7.

If the distance between two cities on a map is drawn at a scale of 1 : 1,000,000 and the map distance is 12 cm, what is the real distance in kilometers?

a)

60

b)

120

c)

150

d)

180

8.

Hesham packed 100 cardboard boxes in 2.5 hours. It would take Hesham $\dots$ hours to pack 160 boxes, working at the same rate.

a)

3

b)

4

c)

2

d)

5

9.

If 13,500 tourists represent $12\%$ of a tourist group, then the number of tourists in the entire group is $\dots$ tourists.

a)

112,500

b)

135,000

c)

45,000

d)

150,000

10.

Alaa purchased a mobile phone for 6,750 LE and sold it for 7,776 LE. Calculate the percentage of Alaa’s profit.

a)

$13.2\%$

b)

$15.2\%$

c)

$10.2\%$

d)

$12.2\%$

11.

If the magnification ratio of an insect’s image is 30 : 1, and the insect’s real length is $2\frac{1}{2}$ mm, find the length of the insect in the image in centimeters.

a)

0.75 cm

b)

7.5 cm

c)

75 cm

d)

25 cm

12.

Ahmed, Youssef, and Mohamed invested in a business project where Ahmed contributed 20,000 pounds, Youssef contributed 16,000 pounds, and Mohamed contributed 14,000 pounds. At the end of the year, the net profit was 5,000 pounds. Find Mohamed's share of the profits.

a)

1,000 pounds

b)

700 pounds

c)

1400 pounds

d)

600 pounds

13.

A car consumes 7 liters of fuel to cover a distance of 84 km. How much fuel does it need to cover a distance of 156 km if it maintains the same fuel efficiency?

a)

12 liters

b)

11 liters

c)

13 liters

d)

14 liters

14.

Ibrahim can run a distance of 60 meters in 20 seconds. If he continues at the same speed, which proportion can you use to find the time (x) in seconds he needs to cover a distance of 360 meters?

a)

$\frac{x}{360}=\frac{60}{20}$

b)

$\frac{360}{x}=\frac{60}{20}$

c)

$\frac{360}{60}=\frac{20}{x}$

d)

$\frac{360}{20}=\frac{60}{x}$

15.

Which of the following ratios is proportional to the given ratio $\frac{24}{36}$ ?

a)

$\frac{8}{18}$

b)

$\frac{10}{12}$

c)

$\frac{10}{15}$

d)

$\frac{16}{28}$

16.

Which of the following pairs of ratios are not proportional?

a)

$\frac{2}{5},\frac{12}{30}$

b)

$\frac{8}{10},\frac{12}{15}$

c)

$\frac{7}{8},\frac{35}{40}$

d)

$\frac{3}{4},\frac{12}{18}$

17.

If $\frac{8}{x}$ = 0.5 what is the value of x?

a)

4

b)

8

c)

16

d)

40

18.

If $\frac{18}{24}=\frac{3}{a-1}$ , what is the value of a?

a)

6

b)

4

c)

5

d)

3

19.

Which of the relationships shown below represents a proportion?

a)

$\frac{8}{10}=\frac{12}{15}$

b)

7 : 9 = 4 : 3

c)

$\frac{2}{5}=\frac{10}{15}$

d)

3 : 6 = 2 : 5

20.

Mustafa reads 15 pages in 50 minutes. What is the time in hours that he will take to read a book of 180 pages if he reads at the same rate?

a)

8 hours

b)

10 hours

c)

9 hours

d)

6 hours

21.

Solve the following proportion: $\frac{15}{x}=\frac{45}{60}$

a)

x = 20

b)

x = 18

c)

x = 30

d)

x = 24

22.

Solve the following proportion: $\frac{18}{x+2}=\frac{9}{12}$

a)

x = 24

b)

x = 22

c)

x = 10

d)

x = 6

23.

If the length in the drawing is 14 mm and the real length is 700 meters, what is the scale drawing?

a)

1 : 50,000

b)

1 : 5,000

c)

1 : 500

d)

1 : 50

24.

Which of the following scale drawings represents a minimization?

a)

200,000 : 1

b)

1 : 700

c)

50 : 1

d)

700 : 1

25.

If $\frac{6}{4}=\frac{x}{8}$ , what is the value of x?

a)

3

b)

2

c)

4

d)

12

26.

If the scale drawing is 1 : 1,000 and the real length is 25 meters, what is the length in the drawing in centimeters?

a)

0.025

b)

0.25

c)

2.5

d)

25

27.

If a : 27 = 4 : 3, what is the value of a?

a)

$\frac{4}{9}$

b)

36

c)

$\frac{81}{4}$

d)

27

28.

An amount of 300 LE is divided between two persons in the ratio 1 : 3. What is the share of the smaller person?

a)

75

b)

100

c)

150

d)

200

29.

Shaimaa and Fatima invested in a project. Shaimaa paid 25,000 LE and Fatima paid 35,000 LE. If the total profit is 48,000 LE, what is Fatima's share of the profit?

a)

800

b)

20000

c)

28000

d)

8000

30.

Which of the following represents a proportion?

a)

$\frac{5}{4},\frac{15}{12}$

b)

$\frac{6}{9},\frac{18}{36}$

c)

$\frac{1}{10},\frac{3}{12}$

d)

$\frac{5+3}{9+3},\frac{5}{9}$

31.

A model of a car is made at a scale drawing of 1 : 30. If the length of the car in the model is 15 cm, what is the real length of the car?

a)

45 cm

b)

4.5 cm

c)

4.5 m

d)

450 m

32.

The ratio among the lengths of the sides of a triangle is 2 : 4 : 5. If the length of the smallest side is 20 cm, what is the length of the largest side?

a)

10 cm

b)

20 cm

c)

30 cm

d)

50 cm

33.

If $\frac{x}{4}=\frac{12}{8}$ , what is the value of 2x?

a)

3

b)

6

c)

12

d)

18

34.

A man passed away, leaving a piece of land of an area of 480 square meters for his wife, two sons, and two daughters. If his wife’s share is $\frac{1}{8}$ of the inheritance, and the remaining is distributed among his sons and daughters, what is the share of each daughter and each son, given that the daughter’s share is half of the son’s share?

a)

70 m² for each daughter, 140 m² for each son

b)

30 m² for each daughter, 60 m² for each son

c)

20 m² for each daughter, 40 m² for each son

d)

60 m² for each daughter, 120 m² for each son

35.

If the price of a chair is 2,500 LE and there is a $15\%$ discount rate, what is the price of the chair after the discount?

a)

2,875 LE

b)

375 LE

c)

2,485 LE

d)

2,125 LE

36.

Sara deposited 50,000 LE in a bank with an annual interest rate of $18\%$ . What is the total amount Sara will receive after one year of deposit?

a)

9,000 LE

b)

59,000 LE

c)

41,000 LE

d)

68,000 LE

37.

The ratio between two numbers is 5 : 3; if the difference between them is 16, what is the larger number?

a)

10

b)

40

c)

24

d)

6

38.

If the length in the drawing is 5 cm and the real length is 70 meters, what is the scale drawing?

a)

1 : 14

b)

1 : 140

c)

1 : 1,400

d)

1,400 : 1

39.

If the price of a calculator increased from 700 LE to 840 LE, what is the rate of increase?

a)

$10\%$

b)

$15\%$

c)

$18\%$

d)

$20\%$

40.

A pastry chef needs 5 cups of flour to make 3 pastries. How many cups of flour are needed to make 15 pastries?

a)

25

b)

20

c)

4

d)

10

41.

In a restaurant, Adam ordered a lunch with a price of 130 LE, and a $14\%$ tax is added to the price of the meal. What is the value of the tax and the total amount Adam will pay?

a)

Tax = 14 LE, Total = 144 LE

b)

Tax = 18.2 LE, Total = 148.2 LE

c)

Tax = 14 LE, Total = 130 LE

d)

Tax = 18.2 LE, Total = 130 LE

42.

Ahmed, Mohamed, and Said invested in a business. Ahmed paid 20,000 LE, Mohamed paid 15,000 LE, and Said paid 35,000 LE. At the end of the year, the loss was 14,000 LE. Calculate each person's share of the loss.

a)

Ahmed = 4,000 LE, Mohamed = 3,000 LE, Said = 7,000 LE

b)

Ahmed = 4,200 LE, Mohamed = 3,150 LE, Said = 6,650 LE

c)

Ahmed = 2,100 LE, Mohamed = 1,575 LE, Said = 4,900 LE

d)

Ahmed = 2,800 LE, Mohamed = 2,100 LE, Said = 9,100 LE

Middle1 U1

Total questions: 42

Worksheet time: 11hrs 30mins

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