Year 10 End of Year Revision

Number Skills

100

Calculate 3.8 x 9.25

35.15

200

Write 0.00048 in standard form.

4.8 x 10^-4

300

Evaluate 3/5 + 5/6

43/30 or 1 13/30

400

Work out 27^1/3 + 81^1/2

12

500

A population increases from 48,000 to 62,400. Calculate the percentage increase.

30%

Algebra

100

Expand and simplify (x + 5)(x - 3)

x² + 2x - 15

200

Solve for x:

5x - 7 = 3x + 13

x = 10

300

Factorise completely: 4x² - 12x

4x (x - 3)

400

Solve for x:

x² - 169 = 0

x = 13 or -13

500

The curve has the equation y = x² + 4x - 5. Find the coordinates of the turning point.

(-2, -9)

Ratio and Proportion

100

Share £180 in the ratio 4 : 1 : 4

£80 : £20 : £80

200

A car travels 180 miles using 24 litres of fuel. How much fuel is needed for 240 miles?

32 litres

300

Increase £256 by 3.5%

£264.96

400

The ratio of boys to girls in a class is 3 : 9.
There are 84 students altogether.
How many girls are there?

63 girls

500

A shirt costing £85.50 is reduced by 20% and then increased by 20%.
What is the final price?

£82.08

Geometry and Shape

100

Find the area of a trapezium with parallel sides 8 cm and 12 cm and height 6 cm.

60 cm²

200

A sector has an angle of 240 degrees and a radius of 9 cm. Find its area in terms of pi.

54 pi cm²

300

A cylinder has radius 11 cm and height 10 cm. Calculate its volume in terms of pi.

1,210 pi cm³

400

A right-angled triangle has sides 5.3 m and 5.6 m. Find the hypotenuse correct to 1 decimal place.

7.7 m

500

The interior angle of a regular polygon is 160 degrees. How many sides does the polygon have?

18 sides

Probability and Statistics

100

The scores are: 11, 15, 18, 18, 20, 24, 25, 29 

Find the mean.

Mean = 20

200

Two fair dice are rolled.
Find the probability that the total score rolled is 10. Give your answer in its simplest form. 

1/12

300

The probability that a student studies French is 0.42.

The probability that a student studies Spanish is 0.36.

The probability that a student studies both languages is 0.18.

Find the probability that a student studies neither language.

0.4

400

The line of best fit for a scatter graph is:

y = 4x+13

Estimate the value of y when x = 12.

61

500

A bag contains:

• 4 red balls
• 5 blue balls
• 6 green balls

Two balls are chosen without replacement.

Find the probability that the two balls are different colours. Give your answer as a fully simplified fraction.

74/105