**Question 1:**

Ivan and Helen have the same number of coins. Ivan has one hundred and four 20-cent coins, and some 50-cent coins. On the other hand, Helen has sixty-four 20-cent coins and some 50-cent coins. The total mass of Helen’s coins is 1.134 kilograms.

(a) Who has a higher value of coins? How much more money is the value of that person’s coins?

(b) If each 50-cent coin weighs 2.7 grams more than a 20-cent coin, calculate the total mass of Ivan’s coins in kilograms.

**Question 2:**

Faizal and Elise started jogging from the same spot at the same time. Faizal’s speed was 30 m/min faster than that of Elise’s. Both of them did not change their speed throughout the jog. Faizal jogged all the way to the end of the track and immediately made a U-turn. They passed each other at the 4000-m mark of the track. What was Elise’s speed?

**Question 3:**

The figure shows a trapezium with a perimeter of 96 cm.

a) Figure A is made up of 3 such trapeziums and has a perimeter of 204 cm. Find the length PQ.

b). Figure B is made up of 4 such trapeziums and has an area of 1932 cm2. Given that CD = 12 cm, find the length of PS.

**Question 4:**

Suyin baked some pies. She gave ⅕ of them to their relatives and 30 of them to her friends. She was left with ⅔ of the pies. Then she packed them into 18 boxes. Some boxes contained 6 pies while some contained 12 pies.

a). How many pies were packed into the 18 boxes?

b). How many boxes contained 6 pies?

**Question 5:**

Each circle has a radius of 7 cm.

a) Find the perimeter of the shaded part.

b) Find the area of the shaded part.

Assume pi as 22/7

————————————————————–SOLUTIONS—————————————————————————

**Answer to Question 1:**

a).

b).

**Answer to Question 2:**

In such questions, you should always check what is the constant (or the same) for the both. In this case, both Faizal and Elise ran for the same amount of time. Time = Distance/Speed

**Answer to Question 3:**

a).

The perimeter of this shape is 204 cm.

b).

**Answer to Question 4:**

a). 150 pies were packed into the 18 boxes

b). 11 boxes (x-value) contained 6 pies

**Answer to Question 5:**

a).

b).

Hope this is useful, thank you.

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