Level 2
Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?
Level 2
Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?
Level 3
Irene has enough flour to bake either 21a tarts or 18 biscuits. If she has finished baking 5a tarts and 6 biscuits, how many more tarts can she still bake in terms of a?
Level 3
The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
Level 3
The figure, not drawn to scale, shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle A is 3 : 8. The ratio of the shaded area to the area of Rectangle B is 2 : 5. Find the ratio of the unshaded area to the total area of the figure.
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
Level 3
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.
Find the speed of the black car.
Find the speed of the green car.
If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
Find the distance covered per second by Vivian in m.
Find the distance covered per second by Kyle in m.
When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
How far would Bus X be behind Bus Y after 12 hour?
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
How far would Jomarie be behind Helen after 1 hour?
How long after they started would it take Helen to meet Jomarie for the first time?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting.
If Kenny and Bill paint the same house, they take 8 days to finish painting.
If Henry and Mark paint the same house, they take 12 days to finish painting.
How many days do Kenny and Mark take to paint the house if they work together?
Level 3
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.
How long would it take for Benny to overtake Andy for the first time?
Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
How long would it take Shan to meet Ella for the first time?
How many rounds would Shan have completed by then?
Level 3
Emily, Gillian and Raeann have equal number of pens.
Emily packs all her pens equally into 3 packets.
Gillian packs all her pens equally into 4 packets.
Raeann packs all her pens equally into 6 packets.
2 packets of Emily's pens, 3 packets of Gillian's pens and
4 packets of Raeann's pens add up to 200 pens.
How many pens do they have altogether?
Level 3 PSLE
Yoko wants to make 14 small identical triangles and 20 large identical triangles using wire. She has made 12 small triangles and 7 large ones using 640 cm of wire. The length of wire she
used for 3 large triangles is the same as that for 4 small stars.
How many large triangles can be made with the same length of wire used to make 12 small triangles?
What is the length of wire she needs to make the remaining triangles? Express your answer in cm.
Level 3 PSLE
Yoko had two streamers of the same length. She cut the first streamer into equal parts of length 90 cm and to each part she tied 4 blue heart cutouts. After that, she cut the second streamer into equal parts of length 120 cm and to each part she tied 7 red heart cutouts. When she finished tying, she counted that there were 80 more red heart cutouts than blue heart cutouts. How many heart cutouts were there altogether?
