Grade 7 Review

Number Skills

100

Write 5072 in expanded form

5000 + 70 + 2

200

Round 38,749 to 2 significant figures

39,000

300

Find the prime factorisation of 72

2³ x 3²

400

Find the HCF and LCM of 18 and 30

HCF = 6

LCM = 90

500

A number is divisible by 3 and 5 but not 2. It is between 50 and 80. List all possible numbers.

55, 65, 75

Fractions and Percentages

100

Find 3/5 of 45

27

200

Convert 4/5 into a percentage 

80%

300

Calculate 5/6 - 1/4

7/12

400

A $200 jacket is reduced by 15%. What is the new price?

$170

500

A price increases from $80 to $92. Find the percentage increase.

15%

Algebra & Patterns

100

Simplify: 4x+7+3x−2

7x+5

200

Evaluate:3x² - 2x 

x=4

40

300

Find the next term and rule: 3, 7, 11, 15, …

Next = 19

rule = +4

400

If x = 3 and y = 2, evaluate: 2x² + 3y

24

500

Find n if 2n+5=21

n = 8

Expanding & Solving

100

Expand: 4(x+3)

4x+12

200

Solve: 2x+7=19

x = 6

300

Expand and simplify: 3(x+4)+2x

5x+12

400

Solve: 5x−3=2x+12

x = 5

500

A number is multiplied by 4 and then 6 is added to give 30. Form and solve an equation.

4x+6=30

x = 6

Graphs & Reasoning

100

A graph shows distance increasing by 5 km every hour. What is the speed?

5 km/h

200

A line graph shows distance increasing steadily over time. What does this mean?

Constant speed

300

If a graph goes up steeply, what does that mean?

Fast increase / high rate

400

A graph shows distance vs time. If the line is flat, what does it mean?

No movement (stopped)

500

A graph shows distance-time with a curved line getting steeper. What does this mean?

Speed is increasing (acceleration)