Week 18 · Maths Practice Paper

Calculate, using the correct order of operations:

A juice mix uses orange, mango and pineapple in the ratio 6:3:5, making 560ml in total.

Solve the following equations:

A sequence has nth term 7n - 5.

The angles of a triangle are x°, (x+25)° and (x+35)°.

The quadrilateral below has an 80° angle, a right angle, and an exterior angle of 110° at the third corner (so the interior angle there is 70°). Calculate x and y.

For a cylinder:

Three vertices of rectangle JKLM are J(-1,4), K(3,4) and L(3,-2).

A bag contains 5 orange, 4 purple and 1 gold counter.

The bar chart shows the number of visitors to a museum over one week.

A bus leaves at 07:52 and arrives at 09:20.

A car travels 150 miles in 2 hours 30 minutes. What is its average speed, in mph?

Tom is currently 5 times as old as his nephew. In 3 years, the sum of their ages will be 54.

A coat priced at £120 is increased in price by 25%, and then the new price is decreased by 10%.

In a year group of 80 students, 50 like reading, 28 like coding, and 18 like both.

Find the missing digit d so that the six-digit number 6d3915 is divisible by 9.

Using the symbols α, β and γ for three different numbers: α+β=25, γ+β=20, α+γ=21.

What is the smaller of the two angles between the hour hand and minute hand of a clock at 3:40?

How many different 3-digit codes, with no repeated digits, can be formed using the digits 2, 4, 6 and 8?

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

A rectangular garden measures 16m by 10m. A right-angled triangular pond with legs 7m and 4m 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+6) cm. Its perimeter is 36cm.

8 workers can finish a job in 9 hours, all working at the same steady rate.

I am thinking of a number. When I halve it and add 7, I get 22. What is the number?

A jar contains red, blue and green sweets in the ratio 3:4:5. There are 9 more green sweets than blue sweets.