goteachmaths.co.uk Ratio

09 December 2018 Ratio

RATIO 3:2 Ratios are used to divide a quantity. The ratio of yellow to blue counters is… RATIO 3:2

RATIO 5:3 Ratios are used to divide a quantity. The ratio of green to red counters is… RATIO 5:3

RATIO 5:4 Ratios are used to divide a quantity. The ratio of white to black counters is… RATIO 5:4

RATIO 7:3 Ratios are used to divide a quantity. The ratio of yellow to blue counters is… RATIO 7:3

RATIO 6:2 RATIO 3:1 Ratios are used to divide a quantity. The ratio of yellow to pink counters is… Simplify RATIO 6:2 RATIO 3:1

RATIO 4:4:2 RATIO 2:2:1 Ratios are used to divide a quantity. The ratio of yellow to red to blue counters is… Simplify RATIO 4:4:2 RATIO 2:2:1

What’s the ratio of blue counters to yellow counters? 3:5

What’s the ratio of yellow counters to red counters? 8:2 4:1

What’s the ratio of yellow counters to purple counters? 7:4

What’s the ratio of yellow counters to red counters? 11:3

What’s the ratio of blue counters to pink counters? 4:10 2:5

green counters to yellow counters to red counters? What’s the ratio of green counters to yellow counters to red counters? 8:4:2 4:2:1

Write the question and answer. Simplify these ratios. Write the question and answer. Level 1 Level 2 Extension 45:18 2:4 12:14 3:6 8:12 108:240 9:33 4:12 6:12:27 16:36 10:5 32:52:12 20:35 20:15 49:28 24:88:104:16 9:36 48:108:24 36:48 25:45 26:91:104:39 24:48 32:52:12 33:44 96:12:396:116

Write the question and answer. Simplify these ratios. Write the question and answer. Level 1 Level 2 Extension 5:2 1:2 6:7 1:2 2:3 9:20 3:11 1:3 2:4:9 4:9 2:1 8:13:3 4:7 4:3 7:4 3:11:13:2 1:4 4:9:2 3:4 5:9 2:7:8:3 1:2 16:27:6 3:4 24:3:99:28

True SIT DOWN False STAND UP

True SIT DOWN False STAND UP 6:4

True SIT DOWN False STAND UP 3:8

True SIT DOWN False STAND UP 6:4:2

They split it in the ratio 2:3 John and Pete robbed $60 They split it in the ratio 2:3 RATIO 2:3 = 5 piles of cash $12 $12 $12 $12 $12 $60 ÷ 5 = $12 John Pete 2 x $12 = $24 3 x $12 = $36

They split it in the ratio 2:3 John and Pete robbed $2000 They split it in the ratio 2:3 RATIO 2:3 = 5 piles of cash $400 $400 $400 $400 $400 $2000 ÷ 5 = $400 John Pete 2 x $400 = $800 3 x $400 = $1200

They split it in the ratio 4:5 John and Pete robbed $360 They split it in the ratio 4:5 RATIO 4:5 = 9 piles of cash $40 $40 $40 $40 $40 $40 $40 $40 $40 $360 ÷ 9 = $40 John Pete 4 x $40 = $160 5 x $40 = $200

They split it in the ratio 2:5 John and Pete robbed $2800 They split it in the ratio 2:5 RATIO 2:5 = 7 piles of cash $400 $400 $400 $400 $400 $400 $400 $2800 ÷ 9 = $400 John Pete 2 x $400 = $800 5x $400 = $2000

EXAMPLE 1 WORKING Tom and Sarah are given £60. They share it in the ratio 1:2. How much money does Alex get? How much money does Ben get? EXAMPLE 1 1) ADD the ratio 1 + 2 = 3 2) DIVIDE the total by the result. £60 ÷ 3 = £20 WORKING 3) MULTIPLY for each person. Tom = 1 x £20 = £20 Sarah = 2 x £20 = £40 £20:£40

EXAMPLE 2 WORKING Tom and Sarah are given £90. They share it in the ratio 2:3. How much money does Alex get? How much money does Ben get? EXAMPLE 2 1) ADD the ratio 2 + 3 = 5 2) DIVIDE the total by the result. £90 ÷ 5 = £18 WORKING 3) MULTIPLY for each person. Tom = 2 x £18 = £36 Sarah = 3 x £18 = £54 £36:£54

EXAMPLE 3 WORKING Tom and Sarah are given £240. They share it in the ratio 3:5. How much money does Alex get? How much money does Ben get? EXAMPLE 3 1) ADD the ratio 3 + 5 = 8 2) DIVIDE the total by the result. £240 ÷ 8 = £30 WORKING 3) MULTIPLY for each person. Tom = 3 x £30 = £90 Sarah = 5 x £30 = £150 £90:£150

WORKING Tom and Sarah are given £50. They share it in the ratio 2:3. How much money does Alex get? How much money does Ben get? 1) ADD the ratio 2 + 3 = 5 2) DIVIDE the total by the result. £50 ÷ 5 = £10 WORKING 3) MULTIPLY for each person. Tom = 2 x £10 = £20 Sarah = 3 x £10 = £30 £20:£30

WORKING Alex and Ben are given £350. They share it in the ratio 2:3. How much money does Alex get? How much money does Ben get? 1) ADD the ratio 2 + 3 = 5 2) DIVIDE the total by the result. £350 ÷ 5 = £70 WORKING 3) MULTIPLY for each person. Alex = 2 x £70 = £140 Ben = 3 x £70 = £210 £140:£210

WORKING Sophie and Jane have 42 sweets. They share them in the ratio 4:3. How many sweets does Sophie get? How many sweets does Jane get? 1) ADD the ratio 4 + 3 = 7 2) DIVIDE the total by the result. 42 ÷ 7 = 6 WORKING 3) MULTIPLY for each person. Sophie = 4 x 6 = 24 Jane = 3 x 6 = 18 24:18

WORKING Sally and Josh and Matt have 72 sweets. They share them in the ratio 4:3:2. How many sweets do they each get? 1) ADD the ratio 4 + 3 + 2 = 9 2) DIVIDE the total by the result. 72 ÷ 9 = 8 WORKING 3) MULTIPLY for each person. Sally = 4 x 8 = 32 Josh = 3 x 8 = 24 Matt = 2 x 8 = 16 32:24:16

WORKING Sally and Josh and Matt have 110 sweets. They share them in the ratio 4:1:5. How many sweets do they each get? 1) ADD the ratio 4 + 1 + 5 = 10 2) DIVIDE the total by the result. 110 ÷ 10 = 11 WORKING 3) MULTIPLY for each person. Sally = 4 x 11 = 44 Josh = 1 x 11 = 11 Matt = 5 x 11 = 55 44:11:55

Tom and Alice divide £210 in the ratio 2:5. How much do they each get? Divide £350 in the ratio 2:3. Divide 63 in the ratio 4:3. Ted and Ally divide £440 in the ratio 3:5. How much do they each get? Divide £160 in the ratio 3:5. Divide 54 in the ratio 4:3:2. Tod, Jo and Amy divide £532 in the ratio 2:8:9. How much do they each get? Divide £440 in the ratio 2:3:6 Divide 195 in the ratio 8:4:3.

Tom = 60 Alice = £150 £140:£210 36:27 Ted = £165 Ally = £275 £60:£100 24:18:12 Tod = 56 Jo = 224 Amy = 252 £88:£132:£264 104:52:39

What’s wrong? What’s the answer? Jim, Nim and Tim divide £200 in the ratio 1:2:3. 1+2+3=5 £200/5 = £40 1x40=40; 2x40=80; 3x40 = 120 Jim gets £40. Nim gets £80. Tim gets £120

WORKING John and Pete robbed a bank. They split the cash in the ratio 3:5 John got £120. How much did Pete get? How much did they steal in total? How many piles did John get? 3 Each pile is worth: 120 ÷ 3 = £40 WORKING Pete got £200. Pete got 5 piles of cash. So, £40 x 5 = £200 Total = £120 + £200 = £320

WORKING Jo and Tim robbed a bank. They split the cash in the ratio 4:9 John got £240. How much did Jo get? How much did they steal in total? How many piles did John get? 4 Each pile is worth: 240 ÷ 4 = £60 WORKING Tim got £540. Pete got 9 piles of cash. So, £60 x 9 = £540 Total = £240 + £540 = £780

Plenary

RATIO 2:1 John and Pete robbed a second bank… …they stole $1500! They split the cash into 3 piles. As the mastermind, John got 2 of the piles. Pete got 1. How much did John get? How much did Pete get? $1000 $500 RATIO 2:1

RATIO 3:1 John and Pete rob a bank… …they stole $1000! They split the cash into 4 piles. As the mastermind, John got 3 of the piles. Pete got 1. How much did John get? How much did Pete get? $750 $250 RATIO 3:1