12 original questions, 40 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
A class has 30 pupils. 13 of the pupils are boys. Write down the ratio of boys to girls.
Write 18 : 24 in its simplest form.
Write 2.5 : 4 in its simplest form.
Write 40 cm : 2 m in its simplest form.
4 marks
Show answer
a) 13 : 17b) 3 : 4c) 5 : 8d) 1 : 5
2
Aisha and Ben share £45 in the ratio 4 : 5. Work out how much each of them gets.
Chloe, Dev and Erin share 72 sweets in the ratio 2 : 3 : 7. Work out how many sweets each of them gets.
4 marks
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a) Aisha £20, Ben £25b) Chloe 12, Dev 18, Erin 42
3
A model car is made using a scale of 1 : 18.
The real car is 4.5 m long.
Work out the length of the model car. Give your answer in centimetres.
2 marks
Show answer
25 cm
4
At an animal rescue centre the ratio of cats to dogs is 5 : 3. There are 35 cats. Work out the number of dogs.
The ratio of the number of stickers Ollie has to the number Priya has is 7 : 4. Ollie has 27 more stickers than Priya. Work out how many stickers Priya has.
4 marks
Show answer
a) 21b) 36
5
The ratio of a distance in miles to the same distance in kilometres is 5 : 8.
A cycle race is 40 miles long. Work out the length of the race in kilometres.
Sienna runs 12 km. Work out how far she runs in miles.
3 marks
Show answer
a) 64 kmb) 7.5 miles
6
Here is a recipe for a fruit smoothie for 4 people.
Strawberries
300 g
Bananas
2
Yoghurt
500 ml
Kofi makes the smoothie for 6 people. Work out how much of each ingredient he needs.
3 marks
Show answer
450 g strawberries, 3 bananas, 750 ml yoghurt
7
A shop sells two sizes of box of teabags.
Small box: 80 teabags for £2.40
Large box: 240 teabags for £6.60
Which box is the better value for money? Show your working.
3 marks
Show answer
Large box - 2.75p per teabag compared with 3p per teabag
8
A map of a national park has a scale of 1 : 25 000.
On the map, the distance from a car park to a waterfall is 9.6 cm.
Work out the real distance from the car park to the waterfall. Give your answer in kilometres.
3 marks
Show answer
2.4 km
9
A photograph is 15 cm long and 10 cm wide.
The photograph is enlarged to make a print that is mathematically similar to it.
The print is 24 cm long.
Work out the scale factor of the enlargement.
Work out the width of the print.
3 marks
Show answer
a) 1.6b) 16 cm
10
Ella, Fred and Grace share some money in the ratio 3 : 5 : 8.
Grace gets £35 more than Ella.
Work out the total amount of money they share.
4 marks
Show answer
£112
11
In a bag of counters, the ratio of red to blue is 2 : 3 and the ratio of blue to green is 4 : 5. Write down the ratio red : blue : green in its simplest form.
In bag A the ratio of red counters to blue counters is 3 : 5. In bag B the ratio of red counters to blue counters is 2 : 3. Which bag has the greater proportion of red counters? You must show your working.
4 marks
Show answer
a) 8 : 12 : 15b) Bag B
12
It takes 8 bricklayers 15 days to build a wall.
Work out how many days it would take 12 bricklayers to build the same wall.
State one assumption you have made.
3 marks
Show answer
a) 10 daysb) All the bricklayers work at the same rate
Your score
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.