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# Topic 10 shape and space

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### Topic 10 shape and space

1. 1. PAPER 1This question paper has 20 questions. Answer all the questions.1. Diagram 1 is a composite shape of two right-angled triangles and a rectangle. 13 cm 12 cm 3 cm 4 cm 15 cm DIAGRAM 1 Find the perimeter, in cm, of the diagram. A 57 C 62 B 59 D 642. Diagram 2 shows the combination of two rectangles and two triangles. 3 cm 4 cm 5 cm 9 cm 2 cm 13 cm DIAGRAM 2 Calculate the perimeter, in cm, of the whole diagram. A 41 C 31 B 40 D 30 1
2. 2. 3. Diagram 3 shows a combined shape of two squares and two triangles. 14.3 cm 7 cm 13.9 cm 12 cm DIAGRAM 3 Calculate the perimeter, in cm, of the whole diagram. A 96.2 C 78.2 B 88.2 D 76.24. Diagram 4 is made up of squares of equal size. 7.6 cm 6 cm 21 cm DIAGRAM 4 What is the perimeter, in cm, of the shaded region? A 63.6 C 53.6 B 57.6 D 50.65. In Diagram 5, the perimeter of EFGHI is 44.4 cm. E F 6.8 cm H I G DIAGRAM 5 If the length of EF is twice the length of EI, the length of EF, in cm, is A 8 C 16 B 12 D 24 2
3. 3. 6. Diagram 6 consists of two rectangles. 1 cm 3 cm DIAGRAM 6 What is the area, in cm2, of the whole diagram? A 5 C 20 B 15 D 257. Diagram 7 shows the combination of two right-angled triangles. Q 4 cm 10 cm R T P S DIAGRAM 7 Given PQ = 10 cm, QR = RS = 4 cm and PS = 2ST. If ST = 3 cm, what is the area, in cm2, of the whole diagram? A 30 C 24 B 28 D 208. Diagram 8 shows a combined shape of a square, a triangle and a rectangle. 6 cm 10 cm 14 cm 16 cm DIAGRAM 8 Calculate the area, in cm2, of the whole diagram. A 104 C 220 3
4. 4. B 202 D 2249. Diagram 9 shows a composite shape of rectangle PQRT and triangle RST. 10 cm Q P R T 6 cm 8 cm 4 cm S DIAGRAM 9 Find the area, in cm2, of the whole diagram. A 56 C 112 B 76 D 11610. In Diagram 10, KLMN is a square which is divided into several squares of equal size. K L J N M DIAGRAM 10 Given that the area of KLMN is 144 cm2. What is the length, in cm, of JK ? A 3 C 6 B 4 D 811. In Diagram 11, X is a cube while Y is a cuboid. X Y 4 cm 4 cm 6 cm 10 cm DIAGRAM 11 The difference between the surface area of X and Y, in cm2, is A 56 C 24 B 34 D 16 4
5. 5. 12. The solid in Diagram 12 consists of cuboid P and cube Q of sides 7 cm. 2 cm P Q DIAGRAM 12 Find the surface area, in cm2, of the solid. A 232 C 330 B 326 D 34013. Diagram 13 shows a combination of two cuboids of the same size and a cube. 10 cm 20 cm DIAGRAM 13 Calculate the surface area, in cm2, of the solid. A 550 C 750 B 650 D 85014. Diagram 14 shows a block of wood in the shape of a cuboid. 3 cm 2 cm 4 cm DIAGRAM 14 If the volume of the shaded region is 120 cm3, find the surface area, in cm2, of the block of wood. A 192 C 128 B 138 D 124 5
6. 6. 15. Diagram 15 shows a combined solid of a square and two rectangles. 3 cm 6 cm 7 cm DIAGRAM 15 3 Calculate the volume, in cm , of the solid. A 369 C 261 B 297 D 20716. Diagram 16 is formed by using small cubes of the same size. DIAGRAM 16 The length of each side of the small cube is 2 cm. Calculate the volume, in cm3, of the whole diagram. A 68 C 136 B 72 D 14417. Diagram 17 shows a combined solid of two cuboids. 9 cm 3 cm 10 cm DIAGRAM 17 Find the volume, in cm3, of the solid. A 144 C 84 6
7. 7. B 109 D 6318. Diagram 18 shows a cuboid which originally was a cuboid with a volume of 240 cm3. DIAGRAM 18 Two cubes of equal size are cut from the cuboid. If the length of each cube is 3 cm, calculate the volume, in cm3, of the portion of cube left. A 56 C 186 B 112 D 21319. The solid in Diagram 19 is made up of three cuboids of the same size. 12 cm 4 cm 5 cm DIAGRAM 19 Calculate the volume, in cm3, of the solid. A 760 C 720 B 740 D 70020. In Diagram 20, A is a cube with sides 3 cm, B is a cuboid with a measurement of 6 cm by 6 cm and by 8 cm, whereas C is a cuboid with a volume of 224 cm3. A C B DIAGRAM 20 What is the total volume, in cm3, of the whole diagram? A 359 C 539 7
8. 8. B 439 D 559 PAPER 2This question paper has 10 questions. Answer all the questions.1. In Diagram 1, the perimeter of the shaded region is 16 cm. 5.7 cm DIAGRAM 1 What is the perimeter, in cm, of the whole diagram? Answer:2. Diagram 2 is a composite shape of two right-angled triangles and two rectangles. 2.8 cm 5.8 cm 2 cm 7 cm DIAGRAM 2 Calculate the perimeter, in cm, of the whole diagram. Answer:3. In Diagram 3, ABCF is a rectangle. BCD and AEF are right-angled triangles. A 20 cm B 14 cm F 10 cm E D 5 cm C DIAGRAM 3 Calculate the area, in cm2, of the shaded region. 8
9. 9. Answer:4. Diagram 4 is a combination of two right-angled triangles, a square and a rectangle. 2 cm 10 cm DIAGRAM 4 2 Find the area, in cm , of the whole diagram. Answer:5. Diagram 5 shows Encik Azrin’s land. The land is a composite shape of two triangles of equal size and a square. 12 m DIAGRAM 5 The perimeter of the square region of the land is 20 m. Encik Azrin wants to sell the land at the price of RM100 per square metre. Find the price of Encik Azrin’s land. Answer:6. Diagram 6 is a composite solid of two cuboids. 10 cm 8 cm 6 cm 18 cm DIAGRAM 6 3 Calculate the volume, in cm , of the solid. 9
10. 10. Answer:7. Diagram 7 is a composite solid of two cuboids of equal size and two cubes of equal size. 5 cm DIAGRAM 7 Given that the sides of the cubes are 2 cm each, find the volume, in cm3, of the solid. Answer:8. The solid in Diagram 8 consists of two cuboids and a cube. 5 cm 9 cm 6 cm 6 cm DIAGRAM 8 What is the volume, in cm3, of the solid? Answer: 10
11. 11. 9. Diagram 9 is a composite solid of a cube and a cuboid. 1 cm x cm DIAGRAM 9 The volume of the solid is 246 cm3 and the shaded area is 36 cm2. Calculate the value of x. Answer:10. Diagram 10 is a combination of two cuboids, P and Q. P 7 cm Q 3 cm DIAGRAM 10 1 The volume of cuboid P is 9 the volume of cuboid Q. If the volume of cuboid P is 35 cm3, what is the surface area, in cm2, of cuboid Q? Answer: 11