Finals (CH. 5,6,7 and 8) - GIP 5 Maths

​FINALS REVISION

CHAPTERS:

5 - FRACTIONS: WORD PROBLEMS

6 - ​AREA OF A TRIANGLE

7 - RATIO

8 - VOLUMES OF CUBES AND CUBOIDS​

TEACHER JOAN ROSE ABING​

FRACTIONS: WORD PROBLEMS

CHAPTER 5​

Open Ended

1. Find the value the following equation. Express your answer in its simplest form.

$$3\frac{4}{5}$$  + $$2\frac{1}{2}$$  =?

ANSWER

Open Ended

2. Find the value the following equation. Express your answer in its simplest form.

$$6\frac{3}{4}$$  - $$1\frac{1}{2}$$  =?

ANSWER

Open Ended

3. Find the value the following equation. Express your answer in its simplest form.

$$\frac{16}{9}$$  x $$\frac{3}{2}$$  =?

ANSWER

Open Ended

4. Find the value the following equation. Express your answer in its simplest form.

$$2\frac{5}{8}$$  x $$17$$  =?

ANSWER

Open Ended

5. Find the sum of $$\frac{3}{10}$$   and the difference between $$3\frac{1}{2}$$  and $$1\frac{3}{5}$$  .

ANSWER

Open Ended

6. Mr Park sold 135 bottles of juice in one day. He sold $$\frac{1}{3}$$  of the bottles of juice in the first hour and $$\frac{2}{5}$$  of the bottles of juice in the second hour. How many bottles of juice did he sell altogether in the two hours?

​99

ANSWER

Open Ended

7. A baker made 160 sandwiches. $$\frac{1}{4}$$  of the sandwiches were egg sandwiches. The rest were tuna sandwiches and chicken sandwiches. The number of tuna sandwiches was 3 times the number of chicken sandwiches. How many tuna sandwiches did the baker make?

​90

ANSWER

Open Ended

8. At a circus, $$\frac{1}{4}$$  of the audience were men, $$\frac{2}{5}$$  of the remainder were women and the rest were children. There were 132 women in the audience. How many people were there in the audience?

​440

ANSWER

​AREA OF A TRIANGLE

CHAPTER 6

AREA OF A TRIANGLE

FORMULA

Open Ended

9. In triangle ABC, BC = 44 cm and AD = 27 cm. Find the are of triangle ABC.

​594 sq.cm

ANSWER

Open Ended

10. Triangle STU represents a triangular table top. SU = 32 cm and UT = 25 cm. Find the area of the triangular table top.

​400 sq.cm

ANSWER

Open Ended

11. Triangle PQR represents a plot of land. PQ = 10 m, RS = 21 m and PQ = QS. Find the are of the plot of land.

​105 sq.m

ANSWER

Open Ended

12. The figure GHIJ is made up of a rectangle KLIJ and triangles KJG and ILH. GH = 25 m and JI = 15 m. Find the area of the figure.

​200 sq.m

ANSWER

Open Ended

13. The figure MNOP is made up of rectangle MQOP and triangle MNQ. PO = 20 m and NQ = 8 m. Find the area of the figure.

​240 sq.m

ANSWER

Open Ended

15. In triangle RST, RS = 10 cm, RV = 4 cm, VT = 12 cm and VU = 8 cm. Find the area of the shaded part.

​32 sq.cm

ANSWER

Open Ended

16. The figure ABCD of made up of triangles AED and BCF, and square EBFD. AE = DF = 14 cm and FC = 20 cm. Find the are of the shaded part.

​238 sq.cm

ANSWER

​RATIO

CHAPTER 7

Open Ended

17. A tablecloth is 5 m wide and 7 m long. Find the ratio of the length of the tablecloth to its breadth.

​7:5

ANSWER

Open Ended

18. Express 35:10 in its simplest form.

​7:2

ANSWER

Open Ended

19. Find the missing number.

1 : ___ = 6 : 48

​8

ANSWER

Open Ended

20. Find the missing number.

63 : ___ = 1 : 2

​126​

ANSWER

Open Ended

21. Find the missing number.

2:3:8 = ___ : 18 : ___

​12 and 48​

ANSWER

Open Ended

22. Find the missing number.

125 : 100 : 15 = 25 : ___ : ___

​20 and 3

ANSWER

Open Ended

23. Ronald draws three lines in different colours - red, yellow and green. The ratio of the length of the red line to the length of the yellow line to the length of the green line is 1:3:5. The yellow line is 18 cm long. How long is the green line?

​30 cm

ANSWER

Open Ended

24. On Sunday, the ratio of the number of customers at a furniture store in the morning to the number of customers in the afternoon to the number of customers in the evening was 3:5:9. There were 219 customers in the morning. What was the total number of customers at the furniture store in Sunday?

​1241

ANSWER

Open Ended

25. On Saturday, a hawker sold bowls of mee siam, mee rebus and lontong in the ratio 14:7:8. The number of bowls of mee siam sold was 48 more than the number of bowls of lontong sold. How many more bowls of mee siam than bowls of mee rebus did the hawker sell on Sunday?

​56

ANSWER

VOLUME OF CUBES AND CUBOIDS

CHAPTER 8

VOLUME OF CUBES AND CUBOIDS

FORMULA

Open Ended

26. Find the volume of this figure.

​11 cubic units

ANSWER

Open Ended

27. Find the volume of this figure.

​3 cubic units

ANSWER

Open Ended

28. Find the volume of this figure.

Each cube is made up of 1-cm cubes.

​36 cubic cm

ANSWER

Open Ended

29. What is the volume of the cuboid?

​1890 cubic meter

ANSWER

Open Ended

30. What is the volume of the cube?

​343 cubic cm

ANSWER

Open Ended

31. Find the volume of water in a rectangular tank in millilitres.

​135 ml

ANSWER

Open Ended

32. Find the volume of water in a rectangular tank in litres and millilitres.

​2 L 400 ml

ANSWER

Open Ended

33. A rectangular tank 28 cm by 18 cm by 12 cm is filled with water completely. Then, 0.78 L of water is poured out of the tank. How much water is left in the tank? Give your answer in millilitres.

​5268 ml

ANSWER

Open Ended

34. A rectangular tank measures 55 cm by 24 cm by 22 cm. It contains 6.75 L of water. How much water is needed to fill the tank completely? Give your answer in litres.

​22.29 L

ANSWER

Open Ended

35. A rectangular tank 27 cm by 20 cm by 37 cm is half filled with water. The water is poured into a cubical tank of edge 16 cm until it is $$\frac{3}{4}$$ full ? How much water id left in the rectangular tank? Give your answer in litres rounded to 1 decimal place.

​6.9 L

ANSWER