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Math P6
| Question | Answer |
|---|---|
| Find 7506 × 38 | 285228 |
| A shop sold 3 480 pencils over 5 days equally. How many pencils were sold each day | 696 |
| The product of two numbers is 5 040. One number is 63. Find the other number | 80 |
| Find the greatest common factor (HCF) of 84 and 126 | 42 |
| Find the least common multiple (LCM) of 18 and 24 | 72 |
| A number divided by 7 gives a quotient of 46 and remainder 5. Find the number | 327 |
| Round 498 746 to the nearest ten thousand | 500000 |
| There are 6 250 seats in a stadium. 4 785 are occupied. How many seats are empty | 1465 |
| A factory packs 9 biscuits into a packet. It has 2 375 biscuits. How many full packets and how many left | 263 packets, 8 biscuits |
| The sum of three consecutive even numbers is 246. What is the largest number | 84 |
| Simplify 36/48 | 3/4 |
| Find 2 1/3 + 1 5/6 | 4 1/6 |
| Find 7/8 − 5/12 | 11/24 |
| Calculate 3/5 × 25/18 | 5/6 |
| A cake is cut into 12 equal pieces. Mei ate 5. What fraction is left | 7/12 |
| Ali spent 2/7 of his money, then 3/5 of the remainder. He had $48 left. How much at first | 140 |
| What is 3/4 of 96 | 72 |
| A tank was 5/6 full. After 30 L was used, it was 2/3 full. Find the capacity | 180 L |
| Express 0.375 as a fraction in simplest form | 3/8 |
| A rope is 18 m long. 5/9 is used. How many metres are left | 8 m |
| Find 38.6 + 7.95 + 0.4 | 46.95 |
| Calculate 52.08 − 19.735 | 32.345 |
| Find 6.25 × 0.48 | 3.0 |
| Calculate 14.4 ÷ 0.6 | 24 |
| Round 18.746 to 2 decimal places | 18.75 |
| A bottle contains 1.5 L of juice. 0.35 L is poured out. How much is left | 1.15 L |
| A toy costs $12.90. How much do 7 toys cost | 90.30 |
| A runner ran 3.75 km in the morning and 2.4 km in the evening. How far in total | 6.15 km |
| Convert 0.07 kg to grams | 70 g |
| A tank has 48.75 L of water. It leaks 0.65 L per minute for 12 minutes. How much is left | 40.95 L |
| Find 15% of 360 | 54 |
| A shirt costs $80 and is discounted by 25%. What is the sale price | 60 |
| The population increased from 24 000 to 27 600. Find the percentage increase | 15% |
| A number is decreased by 30% to become 84. Find the original number | 120 |
| A laptop costs $1 200 before GST of 9%. Find the price including GST | 1308 |
| Shoes sold for $72 after a 20% discount. Find the original price | 90 |
| A recipe uses 250 g of flour. Increase by 12%. How much flour is needed | 280 g |
| Out of 800 pupils, 68% take the bus. How many do not take the bus | 256 |
| A score of 72 is 90% of full marks. What is the full mark | 80 |
| A phone’s price increased by 10% to $550. Find the original price | 500 |
| The ratio of red to blue marbles is 3:5. There are 120 marbles. How many are red | 45 |
| The ratio of boys to girls is 7:5. If there are 24 girls, how many boys are there | 28 |
| A drink is mixed in the ratio syrup to water 1:6. How much water is needed for 250 ml syrup | 1500 ml |
| The ratio of A to B is 4:9. If A is 28, find B | 63 |
| The ratio of mangoes to oranges is 5:3. If there are 72 oranges, how many mangoes | 120 |
| The ratio of John’s money to Ben’s is 2:5. Ben has $75 more. How much does Ben have | 125 |
| A rope is cut in the ratio 3:7. The longer part is 2.8 m. Find the total length | 4.0 m |
| The ratio of boys to girls was 5:4. After 6 girls joined, it became 5:6. How many pupils at first | 27 |
| A bag has 18 sweets. The ratio of strawberry to lemon is 2:1. How many lemon sweets | 6 |
| A map scale is 1:25 000. Two places are 6 cm apart. Find the actual distance in km | 1.5 km |
| A tap fills 18 L in 6 minutes. Find the rate | 3 L/min |
| A car travels 180 km at 72 km/h. How long does it take | 2 h 30 min |
| A cyclist travels 45 km in 2.5 hours. Find the average speed | 18 km/h |
| A train travels 96 km in 1 h 20 min. Find the average speed | 72 km/h |
| A printer prints 240 pages in 8 minutes. How many pages per minute | 30 |
| Water flows at 2.4 L/min for 35 minutes. How much water flows | 84 L |
| A boy walks at 4.8 km/h for 1 h 15 min. How far does he walk | 6.0 km |
| A car travels 150 km. First 90 km in 2 h, rest at 80 km/h. Find average speed | 60 km/h |
| Pipe A fills 1/3 of a tank in 20 min. Pipe B fills 1/4 in 15 min. How much filled in 30 min | 17/24 |
| A runner increases speed from 8 m/s to 10 m/s. Find the percentage increase | 25% |
| The product of two numbers is 6 720. One number is 84. Find the other number | 80 |
| A number divided by 9 gives a quotient of 58 and remainder 7. Find the number | 529 |
| The sum of four consecutive odd numbers is 264. Find the smallest number | 63 |
| Round 7 984 501 to the nearest hundred thousand | 8 000 000 |
| Find the difference between the greatest and smallest 5‑digit numbers divisible by 6 | 83 328 |
| A shop packed 2 856 apples equally into boxes of 18. How many boxes were used | 158 |
| The sum of three numbers is 420. Two numbers are equal and the third is 60 more. Find the largest number | 180 |
| A factory works 8 h a day for 15 days and makes 3 600 items. How many items per hour | 30 |
| Find the smallest number divisible by both 18 and 24 | 72 |
| The total of five consecutive multiples of 7 is 735. Find the largest multiple | 161 |
| Ali spent 3/8 of his money, then 2/5 of the remainder. He had $84 left. How much at first | 200 |
| A tank was 7/10 full. After 42 L was added, it was completely full. Find the capacity | 140 L |
| What fraction of 2 1/4 is 3/8 | 1/6 |
| A rope was cut. 5/12 was used and 3/8 of the remainder was left. What fraction was unused | 7/32 |
| The sum of two fractions is 1. One is 5/12. Find the other | 7/12 |
| After giving away 3/5 of some sweets, Tom had 48 left. How many sweets at first | 120 |
| What number gives 3/4 when multiplied by 2/5 | 15/8 |
| A container was 2/3 full. After using 18 L, it was 1/2 full. Find its capacity | 108 L |
| Find 4 2/5 ÷ 1 1/10 | 4 |
| What fraction must be added to 7/9 to get 1 1/3 | 5/9 |
| A machine produces 2.4 kg of flour every minute. How much in 1.75 h | 252 kg |
| A car travelled 0.75 km every minute. How far in 2 h 20 min | 105 km |
| A jug holds 1.8 L. 0.045 L leaks every minute. How much remains after 16 min | 1.08 L |
| Round 36.485 to the nearest tenth | 36.5 |
| A shop sold 18.75 kg of rice in the morning and 12.4 kg in the afternoon. How much in total | 31.15 kg |
| Convert 3.6 m² to cm² | 36 000 |
| A tank leaks 0.8 L every 45 s. How much leaks in 9 min | 9.6 L |
| A bus travels 18.5 km in the morning and 27.35 km in the afternoon. How far in total | 45.85 km |
| A wire is 12.6 m long. 3.75 m is cut off. How much remains | 8.85 m |
| Divide 84.6 by 0.12 | 705 |
| A ribbon is cut in the ratio 7:3. The shorter part is 18 cm. Find the total length | 60cm |
| The ratio of cats to dogs was 3:5. After 4 cats were added, the ratio became 1:1. How many animals at first | 32 |
| A map scale is 1:50 000. Two towns are 8 cm apart. Find actual distance | 4 km |
| The ratio of sugar to flour is 4:11. If flour is 660 g, how much sugar | 240 g |
| Ali spent 3/8 of his money, then 2/5 of the remainder. He had $84 left. How much at first | 200 |
| A tank was 7/10 full. After 42 L was added, it was full. Find the capacity | 140 L |
| What fraction of 2 1/4 is 3/8 | 1/6 |
| A rope was cut. 5/12 was used and 3/8 of the remainder was left. What fraction was unused | 7/32 |
| After giving away 3/5 of some sweets, Tom had 48 left. How many sweets at first | 120 |
| What number gives 3/4 when multiplied by 2/5 | 15/8 |
| A container was 2/3 full. After using 18 L, it was 1/2 full. Find its capacity | 108 L |
| Find 4 2/5 ÷ 1 1/10 | 4 |
| The sum of two fractions is 1. One is 5/12. Find the other fraction | 7/12 |
| What fraction must be added to 7/9 to get 1 1/3 | 5/9 |
| A machine produces 2.4 kg of flour every minute. How much in 1.75 hours | 252 kg |
| A car travels 0.75 km every minute. How far in 2 hours 20 minutes | 105 km |
| A jug holds 1.8 L. 0.045 L leaks every minute. How much remains after 16 minutes | 1.08 L |
| Round 36.485 to the nearest tenth | 36.5 |
| Convert 3.6 m² to cm² | 36 000 |
| A tank leaks 0.8 L every 45 seconds. How much leaks in 9 minutes | 9.6 L |
| Divide 84.6 by 0.12 | 705 |
| A wire is 12.6 m long. 3.75 m is cut off. How much remains | 8.85 m |
| A bus travels 18.5 km in the morning and 27.35 km in the afternoon. How far in total | 45.85 km |
| A shop sold 18.75 kg of rice in the morning and 12.4 kg in the afternoon. How much rice was sold | 31.15 kg |
| After a 15% discount, a bag costs $102. Find the original price | 120 |
| A number is increased by 20% to become 180. Find the original number | 150 |
| 60% of a class are girls. There are 18 boys. How many pupils are there | 45 |
| A jacket costs $240 including 9% GST. Find the price before GST | 220.18 |
| A phone was sold for $540 after a 10% discount. Find the marked price | 600 |
| The price of a toy increased by 25% to $50. Find the original price | 40 |
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