Week 19 · Maths Practice Paper

Calculate, using the correct order of operations:

A concrete mix uses cement, sand and gravel in the ratio 1:2:3, making 360kg in total.

Solve the following equations:

A sequence has nth term 8n - 6.

The angles of a triangle are x°, (x+15)° and (x+45)°.

The quadrilateral below has an 85° angle, a right angle, and an exterior angle of 115° at the third corner (so the interior angle there is 65°). Calculate x and y.

For a regular decagon (10-sided polygon):

For a triangular prism:

Three vertices of rectangle WXYZ are W(-2,-3), X(4,-3) and Y(4,1).

A bag contains 8 cyan, 3 magenta and 1 lime counter.

The bar chart shows the number of sweets sold by a stall over one week.

A flight departs at 11:40 and lands at 14:05.

A car travels 161 miles in 3 hours 30 minutes. What is its average speed, in mph?

Ivy is currently 5 times as old as her nephew. In 4 years, the sum of their ages will be 50.

A bag priced at £95 is increased in price by 20%, and then the new price is decreased by 15%.

In a year group of 90 students, 50 like swimming, 35 like tennis, and 20 like both.

Find the missing digit d so that the six-digit number 7d2916 is divisible by 9.

Using the symbols Ω, Σ and Δ for three different numbers: Ω+Σ=27, Δ+Σ=22, Ω+Δ=23.

What is the smaller of the two angles between the hour hand and minute hand of a clock at 2:50?

How many different 2-digit codes, with no repeated digits, can be formed using the digits 1, 3, 5, 7 and 9?

Calculate 8⅓ - 5⅚, giving your answer as a mixed number in its simplest form.

A rectangular garden measures 18m 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+8) cm. Its perimeter is 38cm.

10 workers can finish a job in 6 hours, all working at the same steady rate.

I am thinking of a number. When I divide it by 3 and add 9, I get 20. What is the number?

A box contains blue, red and gold beads in the ratio 4:5:7. There are 15 more gold beads than blue beads.