146 P6.RD.TL.16010182
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Fraction to units Finding ratio Ratio to units Percent to units More than or less than Equal stage before Remainder concept All change Units table Units & parts & boxes Elimination
147 P6.AN.NK.17050208
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Isosceles triangle Circle Angles at a point Ratio to units Units method
148 P6.RD.JC.19051801
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?
5 m
Fraction to units F Multiplication Ratio to units Unchanged quantity Internal Transfer Units Table Units & parts Substitution
149 P6.AP.TL.17090818
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)
4 m
Circle Circumference Ratio to units Distance apart
150 P6.AP.TL.17090838
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Rectangle Triangle Cut & paste Ratio to units

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