Number Skills
Write 5072 in expanded form
5000 + 70 + 2
Find 3/5 of 45
27
Simplify: 4x+7+3x−2
7x+5
Expand: 4(x+3)
4x+12
A graph shows distance increasing by 5 km every hour. What is the speed?
5 km/h
Round 38,749 to 2 significant figures
39,000
Convert 4/5 into a percentage
80%
Evaluate:3x2 - 2x
x=4
40
Solve: 2x+7=19
x = 6
A line graph shows distance increasing steadily over time. What does this mean?
Constant speed
Find the prime factorisation of 72
23 x 32
Calculate 5/6 - 1/4
7/12
Find the next term and rule: 3, 7, 11, 15, …
Next = 19
rule = +4
Expand and simplify: 3(x+4)+2x
5x+12
If a graph goes up steeply, what does that mean?
Fast increase / high rate
Find the HCF and LCM of 18 and 30
HCF = 6
LCM = 90
A $200 jacket is reduced by 15%. What is the new price?
$170
If x = 3 and y = 2, evaluate: 2x2 + 3y
24
Solve: 5x−3=2x+12
x = 5
A graph shows distance vs time. If the line is flat, what does it mean?
No movement (stopped)
A number is divisible by 3 and 5 but not 2. It is between 50 and 80. List all possible numbers.
55, 65, 75
A price increases from $80 to $92. Find the percentage increase.
15%
Find n if 2n+5=21
n = 8
A number is multiplied by 4 and then 6 is added to give 30. Form and solve an equation.
4x+6=30
x = 6
A graph shows distance-time with a curved line getting steeper. What does this mean?
Speed is increasing (acceleration)