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
Jaslyn had some $10 notes and some $5 notes. 47 of the notes were $10 notes and the rest were $5 notes. After Jaslyn had spent $450 worth of $5 notes and 14 of $10 notes, she had 34 of the notes left. Find the number of $5-notes Jaslyn had left.
4 m
Level 3 PSLE
Sandra made some biscuits to sell. 34 of them were chocolate biscuits and the rest were almond biscuits. After selling 210 almond biscuits and 56 of the chocolate biscuits, she had 15 of the biscuits left. How many biscuits did Sandra sell?
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
In a theme park, there are 294 more girls than boys. 29 of the girls and 13 of the boys wear glasses. If 14 of the children wear glasses, how many children are there in the theme park?
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 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.
  1. What is the capacity of each pail?
  2. How long did it take to drain the water from the container completely? Answer in terms of minutes.
5 m
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m
Level 3
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes 13 hour for all the water to flow out. If both taps are turned on at the same time,
  1. How long does it take to fill 40% of the tank?
  2. How much water has flowed out through Tap B by the time the tank is 35 filled with water?
5 m
Level 3
Recca took 5 hours to travel from Country A to Country B at 60 km/h. Then he travelled from Country B to another country at 1.5 times his original speed. 40% of the distance from Country A to Country B is equal to 13 of the distance from Country B to the next country. Find the average speed for the whole journey and express it in mixed number.
5 m
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
  1. What fraction of Wendy's money was spent on each belt?
  2. How much money did Wendy have at first?
5 m
Level 3
The average number of boys in 1A, 1B and 1C is 18. This is 4 more than the average number of girls in the 3 rooms. 27 of the total number of girls are in 1C. 32 of the number of girls in 1B is the same as 37 of the total number of girls in the 3 rooms. What fraction of the total number of boys in the 3 rooms is in 1A if there are 40 pupils in 1A?
5 m
Level 3
There were some pupils in a museum. 13 of the pupils lined up in 16 short rows and 12 of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.
  1. What fraction of the pupils did not line up?
  2. How many pupils lined up?
5 m
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
  1. Find the distance between Cities A and C.
  2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 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
Betty had a total of 39 pieces of $2 and $100 notes at first. She spent 25 of the number of $2 notes and received another 9 pieces of $100 notes from her mother. After that, the number of $100 notes she had was 12 of the remaining notes. How much money did Betty have at first?
5 m
Level 3
Henry and Peter had $690. Henry spent 49 of his money on a television. Peter spent 14 of his money on a stereo system. The television cost $140 more than the stereo system. How much money had Henry left?
5 m