81 P6.FR.TL.16010125
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
Fraction to units Money More than or less than Times as many All change Model & units table Units & parts Elimination
82 P6.RD.TL.16010184
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
Percent to units Percent of different bases More than or less than Times as many Internal transfer All change Model & units table Decimal units
83 P6.RD.TL.16010146
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
5 m
Fraction to units Ratio to units Times as many All change Units table Units & parts Elimination
84 P6.RD.TL.16010150
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
5 m
Fraction to units Times as many Equal stage before All change Units table Units & parts Elimination
85 P6.RD.TL.16010191
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?
5 m
Fraction to units Times as many Number x value All change Units table Units manipulation
86 P6.AN.NK.17051731
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
Isosceles triangle Rhombus Angles sum of triangle More than or less than Times as many Units
87 P6.AN.JC.17051708
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Right angle Equilateral triangle Square Angles on a straight line Exterior angles of a triangle Fraction of a whole Times as many
88 P6.AN.NK.17051716
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
4 m
Equilateral triangle Isosceles triangle Parallelogram Corresponding angles Interior angles Times as many
89 P6.AN.NK.17051738
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
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
90 P6.AN.NK.17050210
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
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method
91 P6.SP.TL.18012298
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
DST triangle Average speed Journey by parts Different speed Duration Fraction of a whole Percent to units Times as many Common numerator
92 P6.FR.JO.21042219
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
Fraction of a whole F Multiplication F Division Fraction to units Money More than or less than Times as many Remainder concept Branching Units table
93 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
94 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
95 P6.WN.JC.17082103
Level 3 PSLE
There are two numbers. One is 5 times the other. They have exactly six common factors. Three of the common factors are 1, 2 and 9.
  1. What are the other 3 common factors?
  2. What are the two numbers?
2 m
Common factors HCF Multiples Times as many
96 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
97 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
98 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
99 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
100 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

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