Number Skills
Calculate 3.6 × 0.45
1.62
Expand and simplify (2x + 5)(x - 3)
2x2 - x - 15
Share £180 in the ratio 2 : 3 : 4
£40 : £60 : £80
Find the area of a trapezium with parallel sides 8 cm and 14 cm and height 6 cm.
66 cm2
The scores are: 12, 15, 18, 18, 20, 24, 25, 28
Find the mean.
Mean = 20
Write 0.00072 in standard form.
7.2 x 10-4
Solve for x:
5x - 7 = 3x + 11
x = 9
A car travels 180 miles using 24 litres of fuel. How much fuel is needed for 255 miles?
34 litres
A sector has angle of 120 degrees and a radius of 9 cm. Find its area.
27 pi cm2
Two fair dice are rolled.
Find the probability that the total is 9.
1/9
Evaluate 3/4 + 5/6
19/12 or 1 7/12
Factorise completely: 3x2 - 12x
3x (x - 4)
Increase £240 by 12%
£268.80
A cylinder has radius 4 cm and height 10 cm. Calculate its volume in terms of pi.
160 pi cm3
A bag contains:
Two balls are chosen without replacement.
Find the probability that both are blue.
5/33
Work out 1251/3 + 641/2
13
Solve for x:
x2 - 9 = 0
x = 3 or -3
The ratio of boys to girls in a class is 5 : 7.
There are 36 students altogether.
How many girls are there?
21 girls
A right-angled triangle has sides 7 cm and 11 cm. Find the hypotenuse correct to 1 decimal place.
13.0 cm
The line of best fit for a scatter graph is:
y = 3x+5
Estimate the value of y when x = 12.
41
A population increases from 48,000 to 54,000. Calculate the percentage increase.
12.5%
Solve the simultaneous equations:
2x + y = 11
x - y = 1
x = 4, y = 3 (half mark if only one value correct)
A shirt costing £45 is reduced by 20% and then increased by 20%.
What is the final price?
£43.20
The interior angle of a regular polygon is 156 degrees. How many sides does the polygon have?
15 sides
A box contains only red and blue counters.
The probability of selecting a red counter is 7/12
There are 35 red counters.
How many blue counters are in the box?
25