81 P6.RD.TL.16010128
Level 3
Carl had a total of 90 notes. The notes are $10 notes and $5 notes. After he spent 20% of the $10 notes and 60% of the $5 notes on a stereo system, he was left with 4 times as many $5 notes as $10 notes. How much did the stereo system cost?
5 m
Percent to units Money Times as many Number x value Units table
82 P6.FR.JC.19051301
Level 3
Alfred had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were three times the number of small peaches.
The price of each peach are as follows:
Small $4
Medium $7
Large $9

He sold all the small and medium peaches. He received $360 from selling 13 of the large peaches.
  1. How many large peaches did he have at first?
  2. How much less did he collect from selling the small peaches than the medium peaches?
4 m
Fraction of a set F Multiplication Money Repeated Identity Number x value Times as many Units Table
83 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
84 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
85 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
86 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
87 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
88 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
89 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
90 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
91 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
92 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
93 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
94 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
95 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
96 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
97 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
98 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
99 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
100 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

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