MathBrush

Practice

Same pattern as Files and pens — the cost of 1 pen. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.

Question 1

4 volunteers sold entry tickets at the swimming complex fundraiser. Wei Ming sold twice as many tickets as Nurul. Jayden sold 25 fewer tickets than Wei Ming. Divya sold three times as many tickets as Nurul. Together they sold 383 tickets. How many tickets did Jayden sell?

Work it out on paper, then check below. ▶ See the working

Question 2

4 pupils collected stamps for their album at the post office counter. Choon Guan collected twice as many stamps as Yi Xuan. Danish collected 10 fewer stamps than Choon Guan. Revathi collected three times as many stamps as Yi Xuan. Between them they collected 422 stamps. How many stamps did Danish collect?

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Question 3

4 residents collected aluminium cans at the void deck recycling drive. Hafiz collected twice as many cans as Ah Seng. Malar collected 12 fewer cans than Hafiz. Ling collected three times as many cans as Ah Seng. Altogether they collected 172 cans. How many cans did Malar collect?

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Question 4

4 pupils in a reading club counted the pages they read one week. Ravi read twice as many as Priya. Suri read 6 fewer than Ravi. Tan read 20 fewer than Ravi. Between them they read 226 pages. How many pages did Suri read?

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Question 5

4 pupils in a reading club counted the pages they read one week. Ravi read 10 fewer than Priya. Suri read twice as many as Priya. Tan read three times as many as Priya. Between them they read 214 pages. How many pages did Ravi read?

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Question 6

4 children were given pocket money by their grandfather. Mike received $25 less than Nate. Owen received $25 less than twice Nate's. Peter received three times as much as Nate. Altogether they received $195. How much money did Owen receive?

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Question 7

4 children were given pocket money by their grandfather. Mike received twice as much as Nate. Owen received $8 less than Mike. Peter received three times as much as Nate. Altogether they received $112. How much money did Owen receive?

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Question 8

4 children were given pocket money by their grandfather. Mike received $15 less than Nate. Owen received $12 less than Nate. Peter received twice as much as Nate. Altogether they received $258. How much money did Mike receive?

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Question 9

4 shop assistants sold goldfish at the pet shop. Hafizah sold 6 fewer goldfish than Jia Yi. Boon Hui sold 15 fewer goldfish than twice Jia Yi's. Sandra sold three times as many goldfish as Jia Yi. Together they sold 133 goldfish. How many goldfish did Boon Hui sell?

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Question 10

4 children collected MRT collectible stickers given out at the station. Rayyan collected 20 fewer stickers than Xin Yi. Beng Hock collected 25 fewer stickers than Xin Yi. Tasha collected twice as many stickers as Xin Yi. Between them they collected 135 stickers. How many stickers did Rayyan collect?

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Question 11

4 children keep their marbles in jars. Gita has twice as many as Farid. Hui has 12 fewer than Gita. Ivan has three times as many as Farid. The jars hold 380 marbles in all. How many marbles does Hui have?

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Question 12

4 children keep their marbles in jars. Hui has twice as many as Farid. Gita has 15 fewer than Hui. Ivan has 12 fewer than Hui. The jars hold 365 marbles in all. How many marbles does Gita have?

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Question 13

4 children keep their marbles in jars. Hui has twice as many as Farid. Gita has 5 fewer than Hui. Ivan has 15 fewer than Hui. The jars hold 211 marbles in all. How many marbles does Gita have?

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Question 14

4 pupils borrowed books from the school library this month. Arif borrowed 12 fewer books than Wen Li. Ken borrowed twice as many books as Wen Li. Meera borrowed 25 fewer books than Ken. Together they borrowed 323 books. How many books did Meera borrow?

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Question 15

4 hawker stall helpers sold satay sticks one evening. Siti sold 4 fewer sticks than Kumar. Farah sold twice as many sticks as Kumar. Wei Jie sold 12 fewer sticks than Farah. In all they sold 80 sticks. How many sticks did Wei Jie sell?

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Question 16

4 residents harvested vegetables from the community garden plot. Mei Ling harvested 20 fewer vegetables than Yusof. Faridah harvested twice as many vegetables as Yusof. Arjun harvested 10 fewer vegetables than Faridah. Altogether they harvested 150 vegetables. How many vegetables did Arjun harvest?

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Question 17

4 children traded toy cars at the weekend flea market. Nadia traded 12 fewer toy cars than twice Wei Han's. Soon Huat traded 10 fewer toy cars than twice Wei Han's. Anitha traded three times as many toy cars as Wei Han. Altogether they traded 106 toy cars. How many toy cars did Nadia trade?

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Question 18

4 volunteers sold flags for charity on Flag Day. Wei Xiang sold twice as many flags as Shu Hui. Iskandar sold 8 fewer flags than Wei Xiang. Priyanka sold 4 fewer flags than Wei Xiang. Together they sold 177 flags. How many flags did Iskandar sell?

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Question 19

4 pupils bought recess tokens at the school canteen. Devi bought twice as many tokens as Amirah. Jun Wei bought 15 fewer tokens than Devi. Haziq bought 25 fewer tokens than Devi. In all they bought 100 tokens. How many tokens did Jun Wei buy?

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Question 20

4 friends baked cupcakes for the school fair. Bala baked 20 fewer than Aisha. Chen baked twice as many as Aisha. Dina baked 6 fewer than three times Aisha's. Together they baked 149 cupcakes. How many cupcakes did Dina bake?

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Question 21

4 friends baked cupcakes for the school fair. Bala baked 12 fewer than Aisha. Chen baked twice as many as Aisha. Dina baked three times as many as Aisha. Together they baked 338 cupcakes. How many cupcakes did Bala bake?

Work it out on paper, then check below. ▶ See the working

The working

Question 1

  1. Let Nurul's share be 1 unit, and write everyone else from it.
  2. Nurul is 1 unit.
  3. Jayden is 2 units − 25.
  4. Wei Ming is 2 units.
  5. Divya is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − 25 = 383
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = 383 + 25 = 408
  8. One unit is that shared out, which is Nurul's share.408 ÷ 8 = 51
  9. 2 units first.2 × 51 = 102
  10. Then take Jayden's 25 off.102 − 25 = 77

Jayden sold 77 tickets.

The pattern. Every share is written from Nurul's bar. Add the missing 25 back to the total, and the bars become 8 whole units.

Question 2

  1. Let Yi Xuan's share be 1 unit, and write everyone else from it.
  2. Yi Xuan is 1 unit.
  3. Danish is 2 units − 10.
  4. Choon Guan is 2 units.
  5. Revathi is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − 10 = 422
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = 422 + 10 = 432
  8. One unit is that shared out, which is Yi Xuan's share.432 ÷ 8 = 54
  9. 2 units first.2 × 54 = 108
  10. Then take Danish's 10 off.108 − 10 = 98

Danish collected 98 stamps.

The pattern. Every share is written from Yi Xuan's bar. Add the missing 10 back to the total, and the bars become 8 whole units.

Question 3

  1. Let Ah Seng's share be 1 unit, and write everyone else from it.
  2. Ah Seng is 1 unit.
  3. Malar is 2 units − 12.
  4. Hafiz is 2 units.
  5. Ling is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − 12 = 172
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = 172 + 12 = 184
  8. One unit is that shared out, which is Ah Seng's share.184 ÷ 8 = 23
  9. 2 units first.2 × 23 = 46
  10. Then take Malar's 12 off.46 − 12 = 34

Malar collected 34 cans.

The pattern. Every share is written from Ah Seng's bar. Add the missing 12 back to the total, and the bars become 8 whole units.

Question 4

  1. Let Priya's share be 1 unit, and write everyone else from it.
  2. Priya is 1 unit.
  3. Ravi is 2 units.
  4. Suri is 2 units − 6.
  5. Tan is 2 units − 20.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 26 = 226
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 226 + 26 = 252
  8. One unit is that shared out, which is Priya's share.252 ÷ 7 = 36
  9. 2 units first.2 × 36 = 72
  10. Then take Suri's 6 off.72 − 6 = 66

Suri read 66 pages.

The pattern. Every share is written from Priya's bar. Add the missing 6 and 20 back to the total, and the bars become 7 whole units.

Question 5

  1. Let Priya's share be 1 unit, and write everyone else from it.
  2. Priya is 1 unit.
  3. Ravi is 1 unit − 10.
  4. Suri is 2 units.
  5. Tan is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 10 = 214
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 214 + 10 = 224
  8. One unit is that shared out, which is Priya's share.224 ÷ 7 = 32
  9. Then take Ravi's 10 off.32 − 10 = 22

Ravi read 22 pages.

The pattern. Every share is written from Priya's bar. Add the missing 10 back to the total, and the bars become 7 whole units.

Question 6

  1. Let Nate's share be 1 unit, and write everyone else from it.
  2. Nate is 1 unit.
  3. Mike is 1 unit − $25.
  4. Owen is 2 units − $25.
  5. Peter is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − $50 = $195
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = $195 + $50 = $245
  8. One unit is that shared out, which is Nate's share.$245 ÷ 7 = $35
  9. 2 units first.2 × $35 = $70
  10. Then take Owen's $25 off.$70 − $25 = $45

Owen received $45.

The pattern. Every share is written from Nate's bar. Add the missing $25 and $25 back to the total, and the bars become 7 whole units.

Question 7

  1. Let Nate's share be 1 unit, and write everyone else from it.
  2. Nate is 1 unit.
  3. Mike is 2 units.
  4. Owen is 2 units − $8.
  5. Peter is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − $8 = $112
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = $112 + $8 = $120
  8. One unit is that shared out, which is Nate's share.$120 ÷ 8 = $15
  9. 2 units first.2 × $15 = $30
  10. Then take Owen's $8 off.$30 − $8 = $22

Owen received $22.

The pattern. Every share is written from Nate's bar. Add the missing $8 back to the total, and the bars become 8 whole units.

Question 8

  1. Let Nate's share be 1 unit, and write everyone else from it.
  2. Nate is 1 unit.
  3. Mike is 1 unit − $15.
  4. Owen is 1 unit − $12.
  5. Peter is 2 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.5 units − $27 = $258
  7. Put the amounts taken off back onto the total, and what is left is whole units.5 units = $258 + $27 = $285
  8. One unit is that shared out, which is Nate's share.$285 ÷ 5 = $57
  9. Then take Mike's $15 off.$57 − $15 = $42

Mike received $42.

The pattern. Every share is written from Nate's bar. Add the missing $15 and $12 back to the total, and the bars become 5 whole units.

Question 9

  1. Let Jia Yi's share be 1 unit, and write everyone else from it.
  2. Jia Yi is 1 unit.
  3. Hafizah is 1 unit − 6.
  4. Boon Hui is 2 units − 15.
  5. Sandra is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 21 = 133
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 133 + 21 = 154
  8. One unit is that shared out, which is Jia Yi's share.154 ÷ 7 = 22
  9. 2 units first.2 × 22 = 44
  10. Then take Boon Hui's 15 off.44 − 15 = 29

Boon Hui sold 29 goldfish.

The pattern. Every share is written from Jia Yi's bar. Add the missing 6 and 15 back to the total, and the bars become 7 whole units.

Question 10

  1. Let Xin Yi's share be 1 unit, and write everyone else from it.
  2. Xin Yi is 1 unit.
  3. Rayyan is 1 unit − 20.
  4. Beng Hock is 1 unit − 25.
  5. Tasha is 2 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.5 units − 45 = 135
  7. Put the amounts taken off back onto the total, and what is left is whole units.5 units = 135 + 45 = 180
  8. One unit is that shared out, which is Xin Yi's share.180 ÷ 5 = 36
  9. Then take Rayyan's 20 off.36 − 20 = 16

Rayyan collected 16 stickers.

The pattern. Every share is written from Xin Yi's bar. Add the missing 20 and 25 back to the total, and the bars become 5 whole units.

Question 11

  1. Let Farid's share be 1 unit, and write everyone else from it.
  2. Farid is 1 unit.
  3. Gita is 2 units.
  4. Hui is 2 units − 12.
  5. Ivan is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − 12 = 380
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = 380 + 12 = 392
  8. One unit is that shared out, which is Farid's share.392 ÷ 8 = 49
  9. 2 units first.2 × 49 = 98
  10. Then take Hui's 12 off.98 − 12 = 86

Hui kept 86 marbles.

The pattern. Every share is written from Farid's bar. Add the missing 12 back to the total, and the bars become 8 whole units.

Question 12

  1. Let Farid's share be 1 unit, and write everyone else from it.
  2. Farid is 1 unit.
  3. Gita is 2 units − 15.
  4. Hui is 2 units.
  5. Ivan is 2 units − 12.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 27 = 365
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 365 + 27 = 392
  8. One unit is that shared out, which is Farid's share.392 ÷ 7 = 56
  9. 2 units first.2 × 56 = 112
  10. Then take Gita's 15 off.112 − 15 = 97

Gita kept 97 marbles.

The pattern. Every share is written from Farid's bar. Add the missing 15 and 12 back to the total, and the bars become 7 whole units.

Question 13

  1. Let Farid's share be 1 unit, and write everyone else from it.
  2. Farid is 1 unit.
  3. Gita is 2 units − 5.
  4. Hui is 2 units.
  5. Ivan is 2 units − 15.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 20 = 211
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 211 + 20 = 231
  8. One unit is that shared out, which is Farid's share.231 ÷ 7 = 33
  9. 2 units first.2 × 33 = 66
  10. Then take Gita's 5 off.66 − 5 = 61

Gita kept 61 marbles.

The pattern. Every share is written from Farid's bar. Add the missing 5 and 15 back to the total, and the bars become 7 whole units.

Question 14

  1. Let Wen Li's share be 1 unit, and write everyone else from it.
  2. Wen Li is 1 unit.
  3. Arif is 1 unit − 12.
  4. Ken is 2 units.
  5. Meera is 2 units − 25.
  6. Add the shares together. The units collect, and so do the amounts taken off.6 units − 37 = 323
  7. Put the amounts taken off back onto the total, and what is left is whole units.6 units = 323 + 37 = 360
  8. One unit is that shared out, which is Wen Li's share.360 ÷ 6 = 60
  9. 2 units first.2 × 60 = 120
  10. Then take Meera's 25 off.120 − 25 = 95

Meera borrowed 95 books.

The pattern. Every share is written from Wen Li's bar. Add the missing 12 and 25 back to the total, and the bars become 6 whole units.

Question 15

  1. Let Kumar's share be 1 unit, and write everyone else from it.
  2. Kumar is 1 unit.
  3. Siti is 1 unit − 4.
  4. Wei Jie is 2 units − 12.
  5. Farah is 2 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.6 units − 16 = 80
  7. Put the amounts taken off back onto the total, and what is left is whole units.6 units = 80 + 16 = 96
  8. One unit is that shared out, which is Kumar's share.96 ÷ 6 = 16
  9. 2 units first.2 × 16 = 32
  10. Then take Wei Jie's 12 off.32 − 12 = 20

Wei Jie sold 20 sticks.

The pattern. Every share is written from Kumar's bar. Add the missing 4 and 12 back to the total, and the bars become 6 whole units.

Question 16

  1. Let Yusof's share be 1 unit, and write everyone else from it.
  2. Yusof is 1 unit.
  3. Mei Ling is 1 unit − 20.
  4. Arjun is 2 units − 10.
  5. Faridah is 2 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.6 units − 30 = 150
  7. Put the amounts taken off back onto the total, and what is left is whole units.6 units = 150 + 30 = 180
  8. One unit is that shared out, which is Yusof's share.180 ÷ 6 = 30
  9. 2 units first.2 × 30 = 60
  10. Then take Arjun's 10 off.60 − 10 = 50

Arjun harvested 50 vegetables.

The pattern. Every share is written from Yusof's bar. Add the missing 20 and 10 back to the total, and the bars become 6 whole units.

Question 17

  1. Let Wei Han's share be 1 unit, and write everyone else from it.
  2. Wei Han is 1 unit.
  3. Nadia is 2 units − 12.
  4. Soon Huat is 2 units − 10.
  5. Anitha is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.8 units − 22 = 106
  7. Put the amounts taken off back onto the total, and what is left is whole units.8 units = 106 + 22 = 128
  8. One unit is that shared out, which is Wei Han's share.128 ÷ 8 = 16
  9. 2 units first.2 × 16 = 32
  10. Then take Nadia's 12 off.32 − 12 = 20

Nadia traded 20 toy cars.

The pattern. Every share is written from Wei Han's bar. Add the missing 12 and 10 back to the total, and the bars become 8 whole units.

Question 18

  1. Let Shu Hui's share be 1 unit, and write everyone else from it.
  2. Shu Hui is 1 unit.
  3. Iskandar is 2 units − 8.
  4. Priyanka is 2 units − 4.
  5. Wei Xiang is 2 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 12 = 177
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 177 + 12 = 189
  8. One unit is that shared out, which is Shu Hui's share.189 ÷ 7 = 27
  9. 2 units first.2 × 27 = 54
  10. Then take Iskandar's 8 off.54 − 8 = 46

Iskandar sold 46 flags.

The pattern. Every share is written from Shu Hui's bar. Add the missing 8 and 4 back to the total, and the bars become 7 whole units.

Question 19

  1. Let Amirah's share be 1 unit, and write everyone else from it.
  2. Amirah is 1 unit.
  3. Jun Wei is 2 units − 15.
  4. Devi is 2 units.
  5. Haziq is 2 units − 25.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 40 = 100
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 100 + 40 = 140
  8. One unit is that shared out, which is Amirah's share.140 ÷ 7 = 20
  9. 2 units first.2 × 20 = 40
  10. Then take Jun Wei's 15 off.40 − 15 = 25

Jun Wei bought 25 tokens.

The pattern. Every share is written from Amirah's bar. Add the missing 15 and 25 back to the total, and the bars become 7 whole units.

Question 20

  1. Let Aisha's share be 1 unit, and write everyone else from it.
  2. Aisha is 1 unit.
  3. Bala is 1 unit − 20.
  4. Chen is 2 units.
  5. Dina is 3 units − 6.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 26 = 149
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 149 + 26 = 175
  8. One unit is that shared out, which is Aisha's share.175 ÷ 7 = 25
  9. 3 units first.3 × 25 = 75
  10. Then take Dina's 6 off.75 − 6 = 69

Dina baked 69 cupcakes.

The pattern. Every share is written from Aisha's bar. Add the missing 20 and 6 back to the total, and the bars become 7 whole units.

Question 21

  1. Let Aisha's share be 1 unit, and write everyone else from it.
  2. Aisha is 1 unit.
  3. Bala is 1 unit − 12.
  4. Chen is 2 units.
  5. Dina is 3 units.
  6. Add the shares together. The units collect, and so do the amounts taken off.7 units − 12 = 338
  7. Put the amounts taken off back onto the total, and what is left is whole units.7 units = 338 + 12 = 350
  8. One unit is that shared out, which is Aisha's share.350 ÷ 7 = 50
  9. Then take Bala's 12 off.50 − 12 = 38

Bala baked 38 cupcakes.

The pattern. Every share is written from Aisha's bar. Add the missing 12 back to the total, and the bars become 7 whole units.