Numeracy QuizRatio and proportion
Starter - Brain Trainer
Follow the instructions from the top, starting with the number given to reach an answer at the bottom in 30 seconds.
There are three levels, easy, medium and hard, choose the one most suitable for you.
cube it
+ 219
(.wav)
4
EASY
33
ANSWER
double it
7
+ 43
÷ 9
- 5
÷ 7
square it1/3 of it
11
21
MEDIUM
8
ANSWER
6
+ 138
1/4 of it
÷ 11
+ 75
+ 1/3 of it
- 18
15
+ 1/3 of it
55
HARD
125
ANSWER
÷ 13
- 2/5 of it
÷ 9
square it
¾ of it
treble it
-190
Speed Test
You will see 10 questions
Each question will stay on th
e
screen for 30 seconds
Write down as many answers
as you can
Calculators not allowed
Press space bar to start
1. On a map, the distance between two towns is 5 centimetres. The scale of the map is 1 cm to 5 km.
What is the actual distance between the two towns?
2. A hotel had approximately 15 000 guests in one year. Of these guests, approximately 5 000 used the hotel swimming pool.
What is the approximate ratio of those who used the pool to those who did not use the pool?
3. A designer draws a plan of a coffee shop, using the scale of 1:40. The actual length of the counter in the coffee shop is 4 metres.
What is the length of the counter on the scale drawing?
4. A barman makes fruit cocktail by mixing apple juice, pineapple juice and orange juice in the ratio 1:2:2. of orange juice. He uses 2 litres of orange juice.
How much fruit cocktail does he make?
5. A nursery nurse make 14 litres of orange juice for the children in the playground. She mixes orange concentrate and water in the ratio of 2:5.
How many litres of orange concentrate does she use?
6. On a map with a scale of 1:500 000 the distance between a family’s home and the airport is 30cm.
What is the actual distance between their home and the airport?
7. A car has an average fuel consumption of 5.6 litres per 100km.
Estimate how much fuel you would need for a journey of 75km
8. A recipe for 20 biscuits requires:150g margarine
150g sugar1 egg
300g self-raising flour50g almonds
How much flour will be needed to make 30 biscuits?
9. A model of a boat is made to a scale of 5cm:10m. The length of the real
boat of 25 metres.
What should the length of the model boat be?
10. A man shares 490g dog food between a small dog and a larger dog
in the ratio 3:5.
How much does the larger dog get?
Find the Angle
xo
65o
The diagram below shows two equal sized squares. Calculate the size of angle x. Show your working clearly and explain your reasoning.
Apex angle of the triangle = 180o – 130o = 50o (Angle sum triangle)The triangle has two equal sides and so is isosceles with base angles equal.
The three angles opposite angle x sum to 90o + 50o + 90o = 230o
Angle x = 360o - 230o = 130o (Angles at a point)
*
Solutions1. 25 km2. 2:53. 10cm4. 5 litres5. 4 litres 6. 150 km7. 4.2 litres8. 450g9. 12.5cm10. 350gChallenge questionAngle x = 130
Please send your VMG scores to SFarrow. Thank you
