Level 3
Eva, Sarah and Penny had 1188 marbles. Sarah won some of the marbles from Eva and as a result, Sarah's marbles increased by 20%. Penny then won some marbles from Sarah and Penny's marbles increased by 40%. Finally, Penny lost some of her marbles to Eva and Eva's marbles increased by 20%. In the end, they realised that they each had an equal number of marbles. How many percent less did Eva have in the end than what she had at first? Correct your answer to 1 decimal place.
Level 3 PSLE
Sue baked some tarts. She gave 14 of the tarts to her relatives and 70 to her friends. She was left with 25 of the tarts. She packed these into 10 boxes. Some boxes contained 5 tarts while the rest contained 10.
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°.
Find ∠c.
Find the difference between ∠a and ∠c.
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°.
Level 3 PSLE
At John's fruit stall, 34 of the apples were red and the rest were green. He sold half of the total number of apples. 16 of the apples sold were green. 28 green apples were left. How many red apples did John sell?
Level 3
10 days ago, Ruth had a total of 250 green and violet stickers. 40% of her stickers were violet stickers. Today, her father gave her some more stickers. As a result, her green stickers increased by 30%. Now, 50% of her stickers are violet stickers. How many violet stickers did her father give her?
Level 3
Nick and Ken have some yellow staplers and some pink staplers. The number of pink staplers Nick has is equal to the number of yellow staplers Ken has. 14 of Nick's staplers are yellow and 15 of Ken's staplers are pink. There are a total of 112 yellow staplers. Find the total number of staplers they have.
Level 3 PSLE
At John's fruit stall, 34 of the apples were red and the rest were green. He sold 12 of the total number of apples. 56 of the apples sold were red. 10 green apples were left. How many red apples did John sell?
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?
Level 3
Roshel had some peaches and oranges in 2 baskets.
In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9.
In Basket B, there were thrice as many peaches as oranges.
After Roshel transferred 13 of the oranges from Basket A to Basket B,
the number of fruits left in Basket A was 187
and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8.
How many fruits were in Basket B in the end?
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?
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.
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?
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?
Level 3
The figure is not drawn to scale. Two balls, X and Y, turn and move along the line AB in opposite directions. The radius of X is 10 cm. The ratio of the diameter of Ball X to that of Ball Y is 5 : 2. If Ball X turns 10 rounds and Ball Y turns 2 rounds, how far apart are the centres of the balls?
(Take π = 3.14)
Level 3
The figure is not drawn to scale. Two balls, X and Y, turn and move along the line AB in opposite directions. The radius of X is 10 cm. The ratio of the diameter of Ball X to that of Ball Y is 5 : 2. If Ball X turns 10 rounds and Ball Y turns 2 rounds, how far apart are the centres of the balls?
(Take π = 3.14)
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?
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?
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.
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.
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.
What is the capacity of each pail?
How long did it take to drain the water from the container completely? Answer in terms of minutes.
