Level 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with 23 as much as Tina. How much did Jane spend?
4 m
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
  1. What is the capacity of Tank B?
  2. What is the volume of water in the tank now in litres?
5 m
Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
4 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?
5 m
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
4 m
Level 3
Timothy took 15 min to jog from his home to his school. After that, he took 20 min to walk the same way home. His walking speed was 3 km/h slower than his jogging speed.
  1. Find Timothy's jogging speed in km/h.
  2. How far was the school from his home?
4 m
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
5 m
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m
Level 3
Auntie Zoe baked 45 more strawberry cookies than cheese cookies. After she gave 13 of the strawberry cookies and 0.4 of the cheese cookies to Hazel, she was left with 119 fewer cheese cookies than strawberry cookies. How many cookies did she bake?
5 m
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
  1. What is the height of the water level from the base of the container?
  2. How much more water in cm3 must be poured in so that the water fills up half of the top cube?
5 m
Level 3
A pharmacy and a bank, 500 m apart, are situated between Tina's apartment and Lynn's house as shown. The bank is half-way between the two houses. Tina and Lynn left their homes at the same time and arrived at the pharmacy at the same time. Tina drove at a speed of 65 km/h while Lynn drove at a speed 10 km/h slower than Tina.
  1. How much further did Tina travel than Lynn?
  2. How far is Lynn's house from the bank?
4 m
Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?
5 m
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Level 3
Wendy had a total of 406 violet and pink beads. She used 35 of her violet beads and bought another 38 pink beads. The number of pink beads she had then became 13 the number of violet beads. How many less pink beads than violet beads did she have at first?
4 m
Level 3
Ethan had a total of 350 apples and lemons. He sold 13 of the lemons and bought another 14 apples. In the end, the number of apples he had was 14 the number of lemons. How many more lemons than apples did he have at first?
4 m
Level 3
Xavier invited 12 more boys than girls to his birthday party. 23 of the boys and 57 of the girls turned up at the party. A total of 30 children who were invited did not turn up. How many children did he invite?
4 m
Level 3
Billy put all his stickers into 30 large albums and 10 small albums. Each large album can hold 10 more stickers than each small album. 16 of his stickers were put into all the small albums and the rest were put into the large albums. How many stickers can be put into one large album?
5 m
Level 1 PSLE
Write down the common multiples of 6 and 9 that are smaller than 40. Give the answer(s) in ascending order. (Eg 1, 2, 3)
1 m