Week 14 · Maths Practice Paper

A function machine takes a number, adds 7, then divides the result by 4. What output does the machine give for an input of 13?

Using the same function machine (add 7, then divide by 4), what input produces an output of 11?

A train timetable shows three journeys from Bushey to Watford to Chorleywood:

A single adult ticket costs £12.80 and a single child ticket costs £5.90. A special group ticket (1 adult + 2 children) costs £21.90. How much does a family of 1 adult and 2 children save by buying the group ticket instead of three separate tickets?

A shopkeeper shares 130 sweets as equally as possible among 15 bags. What is the greatest number of sweets that can go in each bag?

Using the same 130 sweets shared among 15 bags as equally as possible, how many sweets are left over?

In the sequence 4, 11, 18, 25, 32, ... which term is a multiple of 8?

What percentage of the terms 4, 11, 18, 25, 32 are prime numbers?

What is the next term in the sequence 4, 11, 18, 25, 32, ...?

The shape below is made from 6 unit squares of side 1cm, joined edge to edge in a staircase. What is its perimeter?

What is the order of rotational symmetry of the staircase shape above?

How many lines of reflective symmetry does the staircase shape above have?

If the staircase shape above were folded along the lines between the squares, would it fold up into a closed cube? Answer yes or no.

The bar chart shows the number of pupils absent each day of one school week.

Using the same bar chart, which day had the most absences?

If the week's absences were instead shown as a pie chart, what angle would represent Wednesday's absences?

In this tile pattern, Pattern N has a square block of N² grey tiles at the centre of an (N+2)×(N+2) grid of tiles, with the rest white. One pattern in the sequence has 36 grey tiles. How many white tiles does it have?

In the same tile pattern sequence, another (later) pattern has 36 white tiles. How many grey tiles does it have?

A shape ABCD has vertices A(-2,4), B(1,4), C(-3,-1) and D(1,-1). What type of quadrilateral is ABCD?

Point C(-3,-1) from the shape above is reflected in the y-axis. What are the coordinates of the reflected point?

A pie chart shows three colours of counters in a bag: Red 50°, Green 80°, and Blue (the remainder). What fraction, in its simplest form, of the counters are green?

Using the same pie chart, is the angle for Blue acute, obtuse, or reflex?

Given that 34 × 628 = 21352, use this fact to work out 213.52 ÷ 34.

What is the acute angle between the hour hand and minute hand of a clock at 7:50?

A weather station recorded a minimum temperature of 7°C on Monday. Each day for the next two days, the minimum temperature dropped by 5°C compared with the previous day. What was the minimum temperature on Wednesday?

A carton of juice costs 39p, and can only be paid for using 2p and 5p coins exactly. How many different ways are there of doing this?

Round 0.34162 to the nearest hundredth.

Which is larger: 1112 or 90%?

60 dog treats are shared between two dogs in the ratio 3:7. What is the difference between the two dogs' shares?

35ml is poured out of a full 2 litre bottle of water. How much water remains, in millilitres?

In a class of 80 children, a Venn diagram shows that 35 like football only, 20 like both football and hockey, and 15 like hockey only. How many children like neither sport?

Which of these is the most likely event? A) A fair coin lands on tails. B) A fair dice shows a multiple of 3. C) A bag with 5 red and 3 blue counters is used to draw a red counter.

What is the name of a 9-sided polygon?

A rectangle measures 10cm by 8cm. A shaded right-angled triangle sits inside it as shown, with base 10cm and height 5cm. What is the area of the unshaded region?

The houses on one side of a street are numbered 61, 63, 65, ... (odd numbers, increasing by 2). What is the 17th house number?

7 people meet at a party. Each person shakes hands with every other person exactly once. How many handshakes take place in total?

A 3×3 grid already has its centre square and its bottom-left square shaded grey, as shown. In how many different ways can exactly two more squares be shaded so that the finished pattern has at least one line of reflective symmetry?

A metal bucket full of sand weighs 20kg. When three-quarters of the sand is poured out, the bucket (with the remaining sand) weighs 8kg. What is the weight of the empty bucket?

Find the missing number: 5 - 18 = -22 - □

A bag contains 9 orange counters and 20 purple counters. How many orange counters must be added to make the ratio of orange to purple counters 4:5?

In the diagram, A, C, D are on a straight line, and B, C, E are on a straight line crossing it at C. Triangle ABC is isosceles with angle BAC = angle BCA = 35°. There is a right angle at D between DC and DE. Calculate x, the size of angle ABC.

Using the same diagram, calculate y, the size of angle CED in triangle CDE.

Using the same diagram, what is the relationship between the lines CD and DE?

Using the same diagram, what type of triangle is ABC?

A pet shop has 38 animals: rabbits, horses and hamsters only. There are 7 more rabbits than horses, and the number of hamsters is 3 times the number of rabbits. How many horses are there?

What is the name of the 3D shape shown below?

In the sum 5□ + □7 = 132, both missing digits are tens digits of a two-digit number. What do the two missing digits add up to?

4 identical books and 2 identical pens are lined up in a row. How many different arrangements are possible?

In a survey of 65 pupils, 22 boys are right-handed, 8 girls are left-handed, and 18 pupils in total are left-handed. How many girls are there in total?

Using the symbols ♫, ♥ and ☼ for three different numbers: ♫+♥=15, ☼+♥=19, ☼+♫=20. What is the value of ♫?