Finals Revision (CH. 4,5 and 6) - GIP Maths 6

​PERCENTAGE

CHAPTER 4

Multiple Choice

1. 78% of a number is 156. What is the number?

• 234

• 200

• 156

• 178

Multiple Choice

2. A board game cost $20 before GST. There was a 7% GST on the board game. How much was the GST?

• $0.70

• $1.40

• $18.60

• $21.40

Open Ended

3. Kieran and Lindsay have $140 together. Lindsay's money is 25% of the total amount of money they have. How much money does Kieran have?

​$105

ANSWER

Open Ended

4. During the sale, a shop gave a storewide discount of 20%. Mrs Tan bought a handbag for $96. What was the price of the handbag before the discount?

​$120

ANSWER

Open Ended

5. There were 40 pupils in the choir last year. 14 pupils joined the choir this year. Find the percentage increase in the number of members in the choir.

35%

ANSWER

Open Ended

6. The mass of the box of apples was 24 kg. Some apples were removed from the box and the mass of the box dropped to 21 kg. Find the percentage decrease in the mass of the box.

ANSWER

12.5%

Open Ended

7. Ridwan collected 27 more stamps this week. The increase was 3% of the number stamps in his stamps collection last week. How many stamps does he have now?

927

ANSWER

ANSWER

927​

Open Ended

8. The mass of a puppy had increased by 25% of its mass at birth to 5 kg at Week 4. By Week 8, the mass of the puppy increased further by 60% of its mass at Week 4.

a. What was the mass of the puppy at birth?

b. What was the mass of the puppy at Week 8 after birth?

ANSWER

a. 4 kg

b. 8 kg​

Open Ended

9. In September, Mr Tan's electricity bill was $65. Mr Baker's electricity bill was $$\frac{6}{5}$$  of Mr Tan's electricity bill. In October, Mr Baker's electricity bill decreased by 30%. Find the decrease in Mr Baker's electricity bill from September to October.

ANSWER

a. 4 kg

b. 8 kg​

Open Ended

10. The marbles in a box are in three colours, red, blue, and green. 20% of the marbles are green. 30% of the remaining marbles are blue. There are 168 red marbles in the box.

a. What percentage of the marbles in the box are blue?

b. How many marbles are there in the box altogether?

​CIRCLES

CHAPTER 5

​Some text here about the topic of discussion.

TRIANGLE

​

PERIMETER

​

AREA​

​

​

Open Ended

11. The radius of a motorcycle wheel is 0.74 m. Find the distance, in metres, it travelled after making 8 complete turns. Give your answer correct to 2 decimal places. (Take pi = 3.14)

ANSWER

37.18 m​

​37.18 m

ANSWER

Open Ended

12. The shape of a floor mat is a semicircle. Its radius is 28 cm. Find the perimeter of the mat. (Take pi = $$\frac{22}{7}$$  )

ANSWER

144 cm​

​144 cm

ANSWER

Open Ended

13. Find the perimeter of the quarter circle. Give your answer correct to 2 decimal places. (Take pi = 3.14)

​62.48 cm

ANSWER

Open Ended

14. A small playground is shaped like a quarter circle. Its radius is 14 m. Find the perimeter of the playground. (Take pi = $$\frac{22}{7}$$  )

ANSWER

50 m​

​50 m

ANSWER

Open Ended

15. A round disc of diameter 24 cm is cut into two halves. Find the area of each half of the disc. Leave your answer in terms of pi.

ANSWER

​72pi sq.cm

ANSWER

Open Ended

16. A semicircle has a radius of 7 m. Find the area of the semicircle. (Take pi = $$\frac{22}{7}$$  )

ANSWER

​77 sq.m

ANSWER

Open Ended

17. A quarter circle has a radius of 18m. Find its area. (Take pi = 3.14)

ANSWER

​254.34 sq.m

ANSWER

Open Ended

18. A quarter circle is cut from a square of side 25 cm. Find its area in terms of pi.

ANSWER

​156.25 pi sq.m

ANSWER

Open Ended

19. The figure is made up of a square of side 8.5 m and three-quarter of a circle with centre O. Find the perimeter and the area of the figure. Give your answers correct to 2 decimal places. (Take pi = 3.14)

ANSWER

P = 57.04 m​

A = 242.40 sq.m​

Open Ended

22. The figure is made up of a triangle and a quarter circle. The perimeter of the triangle AOC is 29 cm. Find the perimeter and area of the figure. (Take pi = $$\frac{22}{7}$$  )

ANSWER

P = 40 cm​

A = 59.5 sq.cm​

Open Ended

23. The figure is made up of a semicircle and a quarter circle. Find the perimeter of the shaded part. (Take pi = $$\frac{22}{7}$$  )

ANSWER

Open Ended

24. The figure shows a semicircle and two quarter circles. Find the perimeter and area of the shaded part. (Take pi = 3.14 )

ANSWER

​ANGLES IN GEOMETRIC FIGURES

CHAPTER 6

• Lines

• Triangles

• Quadrilaterals

Angle Properties

Open Ended

25. ABC is an isosceles triangle. AB=AC. EAB and DAC are straight lines.

A. Find $$\angle$$ EAD.

B. Find $$\angle$$ EAC.  

ANSWER

A. 38 degrees

B. 142 degrees​

Open Ended

26. WXY is an isosceles triangle. WX = WY. WXZ is a straight line. $$\angle$$ WYZ = 90 degrees.

A. Find $$\angle$$ ZWY.

B. Find $$\angle$$ WZY.  

ANSWER

A. 68 degrees

B. 22 degrees​

Open Ended

27. SOT and UOV are straight lines.

A. Find $$\angle$$ SOU.

B. Find $$\angle$$ SOV.  

ANSWER

A. 75 degrees

B. 105 degrees​

Open Ended

28. DBC is a triangle. ABCG, BDE and CDF are straight lines.

A. Find $$\angle$$ FCA.

B. Find $$\angle$$ FCG.  

ANSWER

A. 63 degrees

B. 117 degrees​

Open Ended

29. PORS is a trapezium and PQR is an equilateral triangle. PS//QR.

A. Find $$\angle$$ RPS.

B. Find $$\angle$$ PRS.  

ANSWER

A. 60 degrees

B. 85 degrees​

Open Ended

30. ABC is an isosceles triangle. AC = BC. AEC and BED are straight lines.

A. Find $$\angle$$ ACB.

B. Find $$\angle$$ ABD.  

ANSWER

A. 42 degrees

B. 33 degrees​

Open Ended

31. KLMN is a parallelogram. LOP, KON and PNM are straight lines.

A. Find $$\angle$$ KLO.

B. Find $$\angle$$ LPM.  

ANSWER

A. 50 degrees

B. 50 degrees​

Open Ended

32. WXYZ is a rhombus and WXY is an equilateral triangle. WYS is a straight line. WSTZ is a parallelogram.

A. Find $$\angle$$ ZYS.

B. Find $$\angle$$ YZT.  

ANSWER

A. 120 degrees

B. 60 degrees​

Open Ended

33. JKLP is a parallelogram. JON, KLN and POL are straight lines.

A. Find $$\angle$$ JNK.

B. Find $$\angle$$ JOP.  

ANSWER

A. 20 degrees

B. 105 degrees​