Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m
Level 3
Lina put 120 eggs on some big trays and small trays. She put 6 eggs on each big tray and 4 eggs on each small tray. She used the same number of big trays and small trays. How many trays did Lina use altogether?
4 m
Level 3
A box of pies cost $15 while a box of muffins cost $17. Each box contained either 4 pies or 3 muffins. Mrs Sanchez bought the same number of pies and muffins. She paid $207 more for the muffins. How many boxes of pies did she buy?
4 m
Level 3
A bakery was having its grand opening promotion for eclairs and bagels at the prices as shown. Mrs Lim spent an equal amount of money on the eclairs and bagels for her company party. She bought 40 more eclairs than bagels. What was the total number of eclairs and bagels bought by Mrs Lim?
4 m
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
4 m
Level 3
There were 1870 books in a book shop. There were 6 times as many storybooks as assessment books. There were an equal number of assessment books and manuals. There were half as many non-fiction books as storybooks.
  1. How many assessment books were there?
  2. How many storybooks were there?
4 m
Level 3 PSLE
Peiyi and Jamal bought storybooks at the prices shown.
  1. Peiyi bought an equal number of large and small storybooks. She spent $175 more on the large ones. How many storybooks did she buy altogether?
  2. Jamal spent an equal amount of money on the large and small storybooks. What fraction of the storybooks he bought were large?
5 m
Level 3
Ruth, Queenie and Cathy were playing with beads. Ruth started with 72 beads and then she gained 13 more beads from Queenie. In the second game, Ruth lost 38 of her original number of beads to Cathy. Queenie lost as many beads as Ruth to Cathy. In the final game, Ruth gained 12 of her original number of beads from Queenie. All of them ended up with the same number of beads.
  1. How many beads did Ruth have in the end?
  2. How many beads did Queenie have at first?
5 m
Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave 34 of whatever she had then to Diana. Finally, Diana gave 27 of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?
5 m
Level 3
A shopkeeper keeps his stock of flour in 50-kg bags. He has 4 such bags to be packed into smaller packets weighing 5 kg and 2 kg. He wants to have the same number of 5-kg packets and 2-kg packets.
  1. How many packets of flour does he pack altogether?
  2. How much flour is left over?
4 m
Level 2
Which of the following give the same answer? Give the answers in letters. (Eg a, b)
  1. 7 + 4
  2. 16 - 7
  3. 20 - 9
  4. 6 + 6
3 m
Level 3
A total of 1080 students sat for a Mathematics test. 34 of the girls and 78 of the boys passed the test. The same number of boys and girls failed the test. How many more boys than girls passed the test?
4 m
Level 3
There is a total of 380 ladies and gentlemen at a party. 37 of the gentlemen and 23 of the ladies are dancing. The number of ladies who are not dancing is equal to the number of gentlemen who are not dancing. How many gentlemen are there at the party?
4 m
Level 3
Richard and Tina had a total of 440 charity tickets. Richard sold 13 of his tickets and Tina sold 25 of hers. They sold an equal number of tickets each. How many tickets did Richard have at first?
4 m
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Level 3
Melanie, Oprah and Andy shared $4590 among themselves. Oprah and Andy shared 49 of the money equally. After Oprah gave away some of her money to Melanie, Andy had 3 times as much money as Oprah. How much money did Oprah give to Melanie?
5 m
Level 3
Mindy, Jake and Donald shared a sum of money. The amount received by Jake was 23 the amount of money received by Donald. After Mindy had given $48 to Jake and $27 to Donald, Jake gave $3 to Donald. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mindy and Jake had at first.
5 m
Level 3
An equal number of sweets were distributed to 9 girls and 11 boys. Each girl then gave 23 of her share of sweets to the boys. As a result, each boy received 72 more sweets.
  1. How many sweets did each girl have left?
  2. Find the total number of sweets each boy had after receiving more sweets from the girls.
5 m
Level 3
Ali has 16 marbles. Gopal has 6 marbles. How many marbles does Ali need to give to Gopal so that they have the same number of marbles?
4 m
Level 3
Keith has 25 as many stickers as Janet. They have a total of 280 stickers. How many stickers must Janet give to Keith so that they will have the same number of stickers?
4 m