Year 7 Term 4 Review Questions

Fractions

100

Write this fraction in its simplest form:

3/12

1/4

200

Convert this mixed number into an improper fraction.

5 1/3

16/3

3 xx 5 + 1 = 16

300

Place these fractions in ascending order

2/3, 3/4, 4/5

LCM = 60

45/60, 48/60, 40/60

400

Solve the following:

1/5 + 1/2

7/10

LCM = 10

2/10 + 5/10 = 7/10

500

Solve the following: 

3/5 ÷ 3/8 

8/5

3/5 xx 8/3 = 8/5

Measurement

100

Find the perimeter of this rectangle

38cm

12 + 12 + 7 + 7 = 38

200

Find the area of this rectangle

330cm²

33 xx 10 = 330

300

Find the area of this parallelogram 

72cm²

Area = b x h

12 x 6 = 72

400

Find the area of this triangle 

70m²

Area = (b xx h) / 2

500

Find the area of this composite shape

66cm²

12 x 4 = 48

6 x 6 / 2 = 18

18 + 48 = 66

Integers and Indices

100

Find the highest common factor of 14 and 35

14: 1, 2, 7, 14

35: 1, 5, 7, 35 

HCF = 7

200

Solve

√49

7

300

Simplify the following expression by writing it in index form:

5 xx 5 xx 5 xx 3 xx 2 xx 3

5^3 xx 3^2 xx 2

400

Evaluate the following term:

7^2 – 6^2 

= 7 x 7 – 6 x 6 

= 49 – 36   

= 13

500

Express the number 60 in prime factor form (factor tree)

Algebra

100

Simplify this expression by collecting like terms:

5m + 8e – 3m + 7e

5m - 3m + 8e + 7e

2m + 15e

200

Simplify the following:

7a xx 3b^2 xx 2

= 7 xx 3 xx 2 xx a xx b xx b

= 42ab^2

300

Solve the following:

7 + 4a = 23

4a = 23 - 7

4a = 16

a = 16/4

a = 4

400

Solve by expanding brackets first:

3 (x + 2) = 18

3x + 6 = 18

3x = 18 - 6

3x = 12

x = 12/3

x = 4

500

Solve the following:

3 (b + 5) + 4b = 29

Statistics and Probability

100

Calculate the mean for the following:

Number of TV’s people’s home (10 people): 3, 4, 6, 3, 2, 1, 4, 3, 3, 2

3 + 4 + 6 + 3 + 2 + 1 + 4 + 3 + 3 + 2 = 31 

31 ÷ 10 = 3.1

200

What is the outlier?

8

300

How far did this person travel in total AND in the fifth hour?

Total = 30km

5th hour = 5km

400

A fair 6-sided dice is rolled.

a. List the sample space. 1, 2, 3, 4, 5, 6

b. Find the probability of rolling a multiple of 3, giving your answer as a fraction.

a. 1, 2, 3, 4, 5, 6

b. multiples = 3, 6

2/6 = 1/3

500

When rolling a 6-sided die, the following numbers come up: 1, 4, 1, 1, 1, 4, 2, 3, 6, 2

Based on this experiment, how many times would you expect to roll an even number if you roll 100 times?

Pr(even) = 4/10

probability xx number of trials = 4/10 xx 100

= 40