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Mathematics monthly test

Total questions: 75

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

  1. If ₦48,000 is shared among A, B, and C in the ratio 3 : 5 : 4, how much does B receive?

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2.

  1. A recipe requires sugar and flour in the ratio 7 : 9. If 630 g of flour is used, how much sugar is needed?

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3.

  1. Three friends contributed money in the ratio 5 : 8 : 12 to start a business. If the total contribution was ₦250,000, how much more did the highest contributor contribute than the lowest?

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4.

  1. Two numbers are in the ratio 5 : 7. If the sum of the numbers is 72, find the smaller number.

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5.

  1. Simplify the ratio 84 : 126 : 210

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6.

  1. A recipe uses 250 g of flour to make 10 pancakes. How much flour is needed to make 32 pancakes?

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7.

  1. The cost of 7 meters of cloth is ₦5,880. How much will 12 meters of the same cloth cost?

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8.

  1. A pump fills a tank in 18 minutes. How long will it take to fill 5 similar tanks working at the same rate?

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9.

  1. A machine produces 540 items in 9 hours. How many items will it produce in 15 hours at the same rate?

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10.

  1. It takes 24 liters of fuel to travel 150 km. How many liters are required to travel 425 km at the same rate of consumption?

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11.

  1. The mean of six numbers is 32. Five of the numbers are 28, 30, 35, 40, and 25. Find the missing number.

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12.

  1. The average weight of 7 boxes is 12.5 kg. Six boxes weigh 11 kg, 15 kg, 13 kg, 10 kg, 12 kg, and 14 kg. Find the weight of the seventh box.

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13.

  1. A student scored 15, 19, 21, and 25 in four tests. Find the mean score.

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14.

  1. The mean of 8 numbers is 40. If one number (32) is removed, what is the new mean?

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15.

  1. Find the mean of: 3.2, 5.8, 7.4, 9.1, 6.3, 8.7.

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16.

  1. What is the formula for the mean? (type in words if you do not have the symbol on your laptop)

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17.

  1. The mean is also known as the --------

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18.

18.Find the mode of: 4, 4, 4, 8, 9, 10

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19.

  1. Find the mode of: 7, 9, 9, 10, 11, 11.

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20.

  1. Find the mode of: 22, 25, 22, 28, 25, 30, 25

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21.

  1. A class records the following shoe sizes: 6, 7, 6, 8, 7, 7, 6, 9, 7. Find the mode.

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22.

  1. A shop sells these items in one week: 12, 15, 12, 12, 18, 15, 15, 20. Find the mode.

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23.

  1. Find the mode of: 3.1, 3.1, 4.2, 5.5, 4.2, 4.2

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24.

  1. Find the median of: 18, 12, 16, 22, 20.

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25.

  1. A class scores: 56, 63, 71, 59, 80, 75, 77, 68. Find the median.

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26.

  1. Find the median of: 14.5, 18.2, 20.6, 25.4, 19.3, 21.8.

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27.

  1. Find the median of: 100, 150, 120, 130, 170, 180, 160.

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28.

  1. A shop sells items costing: 110, 95, 120, 100, 140, 130, 160, 150. Find the median.

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29.

  1. Find the median of: 2.5, 3.0, 2.8, 3.6, 3.4, 2.9, 3.2.

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30.

  1. List two steps in finding the median

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31.

  1. Which of the following is a measure of central tendency?

A. Quartile B. Mean C. Frequency D. Class interval

a)

A

b)

B

c)

C

d)

D

32.

  1. The mode of a data set is the value that:

A. Occurs least often

B. Is in the middle

C. Occurs most often

D. Is the greatest value

a)

A

b)

B

c)

C

d)

D

33.

  1. Which measure divides data into two equal parts?

A. Mean B. Mode C. Median D. Range

a)

A

b)

B

c)

C

d)

D

34.

  1. The mode of a set is useful because:

A. It shows the middle value

B. It shows the most frequent value

C. It shows the total value

D. It shows the average value

a)

A

b)

B

c)

C

d)

D

35.

  1. The mean is calculated by:

A. Dividing the largest and smallest numbers

B. Dividing the total by the number of values

C. Selecting the most repeated value

D. Selecting the middle value

a)

A

b)

B

c)

C

d)

D

36.

  1. The median of a data set with 2 middle numbers is found by:

A. Adding them and dividing by 2

B. Choosing the larger

C. Choosing the smaller

D. Subtracting them

a)

A

b)

B

c)

C

d)

D

37.

  1. Which measure is quickest to estimate by eye in a sorted list?

A. Mode B. Median C. Mean D. None

a)

A

b)

B

c)

C

d)

D

38.

  1. A bimodal distribution has:

A. One mode

B. Two modes

C. No mode

D. Three modes

a)

A

b)

B

c)

C

d)

D

39.

  1. The mean of a set of numbers decreases when:

A. A large number is added

B. A small number is removed

C. A small number is added

D. A large number is removed

a)

A

b)

B

c)

C

d)

D

40.

  1. The mode of 5, 6, 7, 8 is:

A. 5 B. 6 C. 8 D. None

a)

A

b)

B

c)

C

d)

D

41.

  1. In a right triangle, one acute angle is 32°. What is the measure of the other acute angle?

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42.

  1. A quadrilateral has three angles: 90°, 110°, and 85°. Find the fourth angle

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43.

  1. If ∠A = 78° and ∠B is supplementary to ∠A, find ∠B.

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44.

  1. The interior angles of a triangle are in the ratio 2 : 3 : 4. Find the smallest angle.

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45.

45. In an isosceles triangle, the two equal angles are 70° each. Find the vertex angle.

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46.

a. What type of angle is this?

b. Find x

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47.

a. What type of angle is this?

b. Find y

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48.

a. What shape is this?

b. Find x

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49.

a. What type of angle is this?

b. Find y

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50.

a. What type of angle is this?

b. Give 2 values of angle that are possible for this type of angle.

4 lines
51.

  1. Two angles form a linear pair. They are always

    A. Complementary

    B. Supplementary

    C. Vertical

    D. Equal

a)

A

b)

B

c)

C

d)

D

52.

  1. An angle of 92° has:

    A. A complement of 88°

    B. A supplement of 88°

    C. Both a complement and supplement

    D. Neither

a)

A

b)

B

c)

C

d)

D

53.

  1. If two angles are complementary and one is x°, the other is:

    A. 180° – x

    B. x – 90°

    C. 90° – x

    D. 360° – x

a)

A

b)

B

c)

C

d)

D

54.

  1. Area of a rectangle =

    A. 2(l + b)

    B. l × b

    C. 4l

    D. 4b

a)

A

b)

B

c)

C

d)

D

55.

  1. A rectangle has length 12 cm and breadth 5 cm. Perimeter =

    A. 17 cm

    B. 60 cm

    C. 34 cm

    D. 24 cm

a)

A

b)

B

c)

C

d)

D

56.

  1. Area of a rhombus =

    A. ½ × (d₁ × d₂)

    B. d₁ × d₂

    C. side²

    D. 4 × side

a)

A

b)

B

c)

C

d)

D

57.

  1. Perimeter of a rhombus with side 7 cm is:

    A. 14 cm

    B. 28 cm

    C. 21 cm

    D. 35 cm

a)

A

b)

B

c)

C

d)

D

58.

  1. A rectangle has area 54 cm² and length 9 cm. Its breadth is:

    A. 4 cm

    B. 5 cm

    C. 6 cm

    D. 8 cm

a)

A

b)

B

c)

C

d)

D

59.

  1. A square has perimeter 40 cm. Its side is:

    A. 4 cm

    B. 8 cm

    C. 10 cm

    D. 12 cm

a)

A

b)

B

c)

C

d)

D

60.

  1. The diagonals of a rhombus are 8 cm and 6 cm. Area =

    A. 48 cm²

    B. 24 cm²

    C. 28 cm²

    D. 18 cm²

a)

A

b)

B

c)

C

d)

D

61.

  1. The sum of two numbers is 92. One number is 18 less than the other. What are the numbers?

4 lines
62.

  1. A worker earns $12 per hour. If he works 38 hours in a week, how much does he earn?

4 lines
63.

  1. A farmer has 350 eggs. He packs them equally into trays of 12. How many full trays can he make?

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64.

  1. A rectangular field is 24 m long and 18 m wide. What is its area?

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65.

  1. A book had 360 pages. Rohan read 45 pages per day. How many days will he need to finish?

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66.

  1. Convert 54₁₀ to base 2.

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67.

  1. Convert 247₁₀ to base 8.

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68.

  1. Convert 11101₂ to base 10.

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69.

  1. Convert 235₈ to base 10.

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70.

  1. Convert 11011012 to base 10

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71.

  1. Solve for k: 8k + 6 = 4k + 42

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72.

  1. Solve for p: 7p - 4 = 3(2p + 5)

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73.

  1. Solve for y: 4(y - 3) = 2y + 10

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74.

  1. Solve for x: 5x - 17 = 3x + 9

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75.

  1. Solve for x: 9 - 2x = 3x + 4

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