681 P6.AN.NK.17051743
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination
682 P6.AP.TL.17090842
Level 3
This figure is not drawn to scale. Wheel A and Wheel B are touching a vertical plastic sheet. The ratio of the radius of the small wheel A to the radius of the big wheel B is 2 : 5. The total radii of Wheel A and Wheel B is 196 cm. Both wheels are rolled out in opposite direction shown until they are 2660 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 227)
5 m
Circumference Ratio to units Distance apart Equal stage Units method
683 P6.AP.NK.21060419
Level 3
The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
  1. What is the radius of each quarter circle?
  2. What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
5 m
Length Rectangle Composite figure perimeter Quarter circle Ratio to units D Round off
684 P6.AP.TL.17090847
Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
5 m
Square Triangle Composite figure area Fraction of a whole Times as many Units method
685 P6.AP.TL.17090852
Level 3
The rectangle is divided into four parts A, B, C and D. The ratio of Part A to Part B is 5 : 3 and the ratio of Part B to Part C is 2 : 1.
  1. Find the ratio of Part A to Part B to Part C.
  2. Given that Part D is 26 cm2 , find the area of the rectangle.
5 m
Rectangle Finding ratio Ratio to units Repeated identity Units table
686 P6.WN.JC.17050705
Level 1
A durian cost twice as much as a mango. Julie bought 5 durians and 5 mangoes for $30. How much does a mango cost?
2 m
W 4 operations Money Times as many Units method
687 P6.WN.JC.17010114
Level 1 PSLE
Cody packed 596 buttons into four cartons, labelled A, B, C and D. Carton A had the most number of buttons and Carton D had the least. The difference in the number of buttons between Carton A and the number of buttons in the other three cartons were 12, 36 and 64 respectively. How many buttons were there in Carton D?
2 m
W 4 operations Min-max More than or less than Units table
688 P6.WN.JC.17050704
Level 2
3 chairs and 3 tables cost $180. 2 similar chairs and 1 similar table cost $110. How much is a table?
2 m
W 4 operations Money Units & parts Elimination
689 P6.WN.JC.22050701
Level 3 PSLE
Four girls, Ally, Bernice, Cally and Donna raised money for a charity. Ally and Bernice raised a total of $105. Together, Bernice, Cally and Donna raised a total of $180. The total amount of money raised by all 4 girls is 4 times the amount that Bernice raised. How much money did Bernice raise?
2 m
Times as many Repeated identity Units equations
690 P6.WN.JC.17032901
Level 2
Anna had 76 more marbles than Wendy at first. Wendy gave 19 of her marbles to Anna. Anna now has 3 times as many marbles as Wendy. How many marbles did Wendy have at first?
2 m
W 4 operations More than or less than Times as many Internal transfer Units table Units & parts Elimination
691 P6.WN.JC.17010113
Level 2 PSLE
Reggie and Xuan have some erasers. After Reggie gives 28 erasers to Xuan, he has 30 erasers more than her. How many more erasers than Xuan does Reggie have at first?
2 m
W Addition & subtraction More than or less than Internal transfer Model & units table
692 P6.WN.JC.16010113
Level 2
When Mr Vincent is 34 years old, his nephew is 11 years old. In how many years will he be 2 times as old as his nephew?
2 m
W Addition & subtraction Times as many Unchanged difference Units table
693 P6.WN.JC.16010165
Level 2
Last year, Ben was 4 times as old as his son, Fred. This year, their total age is 52 years old. How old will Ben be when he is 3 times as old as Fred?
2 m
W 4 operations Times as many Unchanged difference Units table
694 P6.WN.JC.16010109
Level 2
Asher had 5 times as many buttons as Carl at first. Then each of them bought an equal number of new buttons. In the end, Carl had 42 buttons and Asher had 3 times as many buttons as Carl. How many buttons did both of them buy altogether?
2 m
W 4 operations Times as many Unchanged difference Units table
695 P6.WN.JC.16010114
Level 2
Mark is 14 years old. His uncle is 42 years older than him. In how many years will Mark's uncle be 3 times as old as Mark?
2 m
W 4 operations More than or less than Times as many Unchanged difference Units table
696 P6.WN.JC.17010112
Level 2 PSLE
At first, the books in a library were placed on 30 shelves with an equal number of books on each shelf. 3 shelves were removed and the books on these shelves were placed on the remaining shelves. Because of this, the number of books on each remaining shelf increased by 5. What was the number of books on each shelf at first?
2 m
W Multiplication & division Redistribute Units method
697 P6.WN.JC.22031402
Level 2 PSLE
Abel had 13 more two-dollar notes than five-dollar notes at first. He exchanged $20 worth of five-dollar notes for two-dollar notes. How many less five-dollar notes than two-dollar notes did Abel have after the exchange?
2 m
Proportional exchange More than or less than Money Units Table
698 P6.WN.JC.22031405
Level 3 PSLE
A shelf can be packed from end to end with 30 large books or 40 small books. Andy already packed the shelf with 5 large books and 25 small books. At most, how many more large books can Kevin pack the shelf with?
2 m
Proportion Min-max Units method
699 P6.WN.JC.21041814
Level 1 PSLE
The sum of two whole numbers is 1035.
  1. What is the smallest difference between the two numbers?
  2. Write down these two numbers. (Eg 1, 2)
2 m
W 4 operations Mass Model Units method
700 P6.WN.JC.17010108
Level 2 PSLE
The mass of a box with 50 identical glass marbles is 750 g. When 20 of the marbles are removed, the mass of the box with the remaining marbles is 510 g. What is the mass of each glass marble?
2 m
W 4 operations Mass Model Units method Repeated identity

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