Week 24 · Maths Practice Paper

Calculate, using the correct order of operations:

A bird-seed mix uses sunflower, millet and peanuts in the ratio 6:3:1, making 500g in total.

Solve the following equations:

A sequence has nth term 4n - 1.

The angles of a triangle are x°, (x+25)° and (x+65)°.

The quadrilateral below has a 95° angle, a right angle, and an exterior angle of 150° at the third corner (so the interior angle there is 30°). Calculate x and y.

For a rhombus:

For an octagonal prism:

Three vertices of rectangle LMNO are L(-1,-4), M(5,-4) and N(5,0).

A bag contains 7 lime, 2 coral and 3 jade counters.

The bar chart shows the number of thousand steps a walker took each day of one week.

A play starts at 20:05 and ends at 22:40.

A car travels 186 miles in 3 hours. What is its average speed, in mph?

Jack is currently 3 times as old as his sister. In 8 years, the sum of their ages will be 68.

A bike priced at £85 is increased in price by 10%, and then the new price is decreased by 40%.

In a year group of 65 students, 38 like painting, 25 like sculpture, and 12 like both.

Find the missing digit d so that the six-digit number 7d5289 is divisible by 9.

Using the symbols α, β and γ for three different numbers: α+β=26, γ+β=21, α+γ=23.

What is the smaller of the two angles between the hour hand and minute hand of a clock at 11:20?

How many different 2-digit codes, with no repeated digits and the first digit not 0, can be formed using the digits 0, 1, 3, 5 and 7?

Calculate 7⅙ - 4¾, giving your answer as a mixed number in its simplest form.

A rectangular garden measures 19m by 11m. A right-angled triangular pond with legs 8m and 5m is dug in one corner, as shown, and is no longer lawn.

An isosceles triangle has two equal sides of length 2x cm and a base of length (x+11) cm. Its perimeter is 41cm.

14 workers can finish a job in 5 hours, all working at the same steady rate.

I am thinking of a number. When I add 14 to it and halve the result, I get 20. What is the number?

A pot of pens has colours A, B and C in the ratio 2:5:9. There are 35 more C pens than A pens.