Level 3
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
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.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
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?
Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
Level 3
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?
Level 3
Tina and Sarah have some cupcakes each. If Tina gives Sarah 49 cupcakes, Tina will have 34 as many cupcakes as Sarah. If Tina gives Sarah 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Tina have at first?
The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
Level 3
The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
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
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave 15 of the amount she had to Yvonne. On Monday, Yvonne gave 14 of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?
Level 3
Tom and Jerry had $160 altogether. Jerry gave 47 of his money to Tom. After that, Tom gave 35 of his money to Jerry.
In the end, Tom had 14 of the total sum of money. How much did Tom have at first?
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 May had some books. She donated 38 of the books and gave away another 30 books. She had 47 of the books left and she packed them into 25 boxes. Some boxes contained 10 books while the rest contained 15 books.
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
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 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
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
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)
