Math Ratio and Length Problems

Will and Olly share £80 in the ratio 3:2. How much does Will get?

• £32

• £48

• £50

• £30

Molly, Paige, and Demi share 42 sweets in the ratio 3:2:1. How many sweets does Paige receive?

• 14

• 12

• 18

• 10

Carly and James share some money in the ratio 5:3. Carly gets £70 more than James. How much money does James get?

• £105

• £140

• £175

• £210

Jerry and Mick share some money in the ratio 2:3. Mick gets £900. How much money does Jerry get?

• £600

• £720

• £800

• £850

Ali and Steve share some sweets in the ratio 2:7. Steve gets 30 more sweets than Ali. How many sweets does Steve get?

• 42

• 45

• 48

• 52

Dave is making cookies. He mixes flour, butter, and sugar in the ratio 6:4:1. Dave uses 160 grams of butter. How much flour does Dave use?

• 240 grams

• 320 grams

• 120 grams

• 160 grams

Dave is making cookies. He mixes flour, butter, and sugar in the ratio 6:4:1. Dave uses 160 grams of butter. How much sugar does Dave use?

• 40 grams

• 60 grams

• 80 grams

• 100 grams

Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the £540 did Theo receive?

• 1/3

• 1/4

• 1/5

• 1/6

The length of BC is four times the length of AB. If BC = 100 metres, what is the length of AC?

• 125 metres

• 100 metres

• 80 metres

• 120 metres

Bob is going to make some orange paint. He needs to mix red paint, yellow paint, and white paint in the ratio 5:4:1. Bob wants to make 750 ml of orange paint. Bob has 400 ml of red paint, 300 ml of yellow paint, and 200 ml of white paint. Does Bob have enough red paint, yellow paint, and white paint to make the orange paint?

• Yes, he has enough of all paints.

• No, he does not have enough red paint.

• No, he does not have enough yellow paint.

• No, he does not have enough white paint.