Level 3
When 34 of a bottle is filled with milk, it weighs 890 g. When the bottle is half-filled with milk, it weighs 745 g. Find the mass of the empty bottle.
4 m
Level 3
Kim, John and Zane started walking at the same time from the same starting point round a circular track. Zane walked in the clockwise direction. Kim and John walked in an anti-clockwise direction. Zane took 6 min to complete each round. He met Kim after every 2 minutes. He met John after every 5 minutes. The three friends keep to their respective speeds throughout their walk.
  1. How many rounds did Zane complete in 1 h?
  2. When Zane and Kim met again at the starting point after 1 h, John had completed 1.6 km. Find the circumference of the circular track in metres.
5 m
Level 3
Sean bought 3 boxes of red marbles and 3 packets of blue marbles. There were 24 red marbles more than blue marbles. He had 60 marbles altogether. How many red marbles were there in each box?
4 m
Level 3
Figure ABCD is made up of eight identical rectangles. Each rectangle has a length of 18 cm.
  1. Find the perimeter of Figure ABCD.
  2. Find the area of Figure ABCD
4 m
Level 3
The length of a rope is 25 m longer than a string. The length of a wire is 13 m shorter than the rope. The total length of the rope, the wire and the string is 58 m. What is the length of the rope?
4 m
Level 3
A feature wall is covered by 10 identical small rectangular boards as shown. The area of 1 small rectangular board is 12 m2. Where is the perimeter of the feature wall?
4 m
Level 3
The table shows the number of people who attended an event last weekend.

12 of the people who attended the event were adults. Find the number of girls who attended the event.
4 m
Level 3
The total mass of Tom, Kelsey and Linda is 120 kg. Kelsey's mass is 6 kg more than Tom's and 18 kg more than Linda's. Find the total mass of Tom and Linda.
4 m
Level 3
Ling Ling used 6 identical squares in Figure A to make a rectangular card as shown in Figure B. The perimeter of Figure A was 80 cm. What was the length of the card?
4 m
Level 3
The total mass of 3 muffins and 5 buns is 451 g. Each muffin has a mass twice as much as a bun. Find the mass of a bun.
4 m
Level 3
Four times a number is 8120. What is 930 more than thrice the number?
4 m
Level 3
Xavier gave 111 of his stamps to Joe, 211 of his stamps to Jason and 311 of his stamps to Kim. He then had 20 stamps left. How many stamps had he at first?
4 m
Level 3
The figure is made up of a square and a rectangle. It has an overall perimeter of 74 cm. The breadth of the rectangle is 34 as long as the length of the square. Given that the length of the rectangle is 16 cm, find the area of the whole figure.
4 m
Level 2
Abigail has twice the number of hair clips as Betty. Clare has thrice the number of hair clips as Abigail. If Clare has 504 hair clips, how many hair clips do the three girls have altogether?
2 m
Level 3
The figure is made up of 1 small square, 1 big square and 1 rectangle. It has an overall perimeter of 120 cm. The length of the rectangle is 4 times as long as its breadth. Find the area of the whole figure.
4 m
Level 3
The figure not drawn to scale is made up of a square and a rectangle. It has an overall perimeter of 56 cm. The length of the square is 23 as long as the length of the rectangle. Given that the breadth of the rectangle is 5 cm, find the area of the whole figure.
4 m
Level 3
Sean drank 35 of the water in his water bottle. He accidentally spilled 14 of the remaining water. As a result, he had 90 millilitres of water left in his water bottle. How much water did Sean have at first? Give your answer in millilitres.
4 m
Level 3
The figure is made up of 2 different squares. The perimeter of the shaded part is 64 cm and the area of the shaded part is 135 cm2. Find the area of the unshaded square.
4 m
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Level 3
Elyse, Yoko and Shannon had a sum of money. Elyse and Yoko had $112 altogether. Yoko and Shannon had $272 altogether. The amount that the three girls had in total was 7 times the amount that Yoko had. How much did Yoko have?
4 m