Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
Level 1
Write the greatest whole number in each blank to make each number statement true.
  1. 7 + ___ is less than 35.
  2. ___ - 9 is less than 40.
2 m
Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave 310 to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?
4 m
Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.
4 m
Level 2
If ___ x 9 is less than 2602, the greatest number in the blank that will make the mathematical statement true is ___.
2 m
Level 3
The line graph shows the number of newspapers sold at a store over a week.
  1. On which day was the store closed? Give the answer in short form. (Eg Mon)
  2. How many more newspapers were sold on Monday than on Friday?
  3. On which two days were 4400 newspapers sold altogether? Give the answer in short form. (Eg Mon, Tue)
  4. If 9100 newspapers were sold from Monday to Sunday in the week, how many newspapers were sold on Sunday?
4 m
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
3 m
Level 3
Study the pattern. Each figure is made up of identical blocks.
  1. How many blocks are used to form Figure 4?
  2. How many more blocks are used to form Figure 6 than Figure 3?
4 m
Level 3
Olivia is 20% heavier than Xavier. Dana is 40% lighter than Xavier. Olivia is 12 kg heavier than Dana. What is Xavier's mass?
3 m
Level 3
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than 12 of the total number of cartons. How many more cartons were unpainted than painted on the first day?
4 m
Level 3
Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 23 as many sweets as Ashwin. How many sweets did each of them have in the end?

  1. Ashwin
  2. Clifford
4 m
Level 3
There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 2 kg more. The total weight of the packets was 35 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 5 : 2. What was the total weight of the packets and the bottles?
4 m
Level 3
The line graph shows the number of buns sold in a week.
  1. How many more buns were sold on Saturday than on Thursday?
  2. On which day was the number of buns sold thrice as many as the number of buns sold on Monday? Give your answer in this format. (Eg Mon)
4 m
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
Level 2
Write the smallest whole number in each blank to make each number statement true.
  1. 42 is less than ___ - 19.
  2. 73 is less than ___ + 8.
2 m
Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent 16 of his share, Henry spent 15 of his share and Will spent 12 of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?
3 m
Level 3
The line graph shows the number of boys and girls in each sports school.
  1. How many pupils were there in Sports School B?
  2. How many more girls than boys were there in Sports School C?
  3. At the end of the year, an equal number of boys and girls from Sports School D were transferred to Sports School A. The fraction of the number of boys to girls in Sports School A becomes 23. Find the total number of boys and girls that were transferred from Sports School D to Sports School A.
4 m
Level 3
Jeanne's school organized a trip to Japan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 52 girls decided to withdraw and 52 more boys decided to join in. In the end, the number of girls who participated became 20% of the total participants for the trip. How many more boys than girls would visit Japan in the end?
4 m
Level 1
Write the greatest whole number in each blank to make each number statement true.
  1. 80 is greater than 9 x ___
  2. 176 is greater than __ x 7
2 m
Level 3
The line graph shows the total number of cars sold by a car dealer in the first six months of the year.
  1. In which two months were there a consecutive increase in the number of cars sold?  Give the answer in short form. (Eg Jan, Feb)
  2. What fraction of the cars was sold in the month of the lowest sale? 
  3. The car dealer was paid a fixed amount of money for every car he sold. He received $3200 more in April than in February. How much money did he receive from selling a car?
4 m