Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 22cm 22cm ___cm2 Answer:_______________ |
2) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 26cm 26cm ___cm2 Answer:_______________ |
3) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 10cm 10cm ___cm2 Answer:_______________ |
4) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 14cm 14cm ___cm2 Answer:_______________ |
5) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 24cm 24cm ___cm2 Answer:_______________ |
6) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 32cm 32cm ___cm2 Answer:_______________ |
7) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 20cm 20cm ___cm2 Answer:_______________ |
8) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 12cm 12cm ___cm2 Answer:_______________ |
9) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 28cm 28cm ___cm2 Answer:_______________ |
10) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 16cm 16cm ___cm2 Answer:_______________ |
1) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 22cm 22cm Answer: 225cm2 SOLUTION 1 : Step 1: Diameter = 22cm Radius = 22 ÷ 2 = 11cm Step 2: Area of square = 22 x 22 = 484cm2 Step 3: Area of circle = π x r x r = π x 11 x 11 = 380.182cm2 Step 3: Area of triangle = x b x h = x 11 x 11 = 60.5cm2 Step 4: Area of 2 triangles = 60.5 x 2 = 121cm2 Step 5: Area of shaded part = (square - circle) + triangle = (484 - 380.182) + 121 = 224.818cm2 ≈ 225cm2 |
2) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 26cm 26cm Answer: 314cm2 SOLUTION 1 : Step 1: Diameter = 26cm Radius = 26 ÷ 2 = 13cm Step 2: Area of square = 26 x 26 = 676cm2 Step 3: Area of circle = π x r x r = π x 13 x 13 = 530.998cm2 Step 3: Area of triangle = x b x h = x 13 x 13 = 84.5cm2 Step 4: Area of 2 triangles = 84.5 x 2 = 169cm2 Step 5: Area of shaded part = (square - circle) + triangle = (676 - 530.998) + 169 = 314.002cm2 ≈ 314cm2 |
3) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 10cm 10cm Answer: 46cm2 SOLUTION 1 : Step 1: Diameter = 10cm Radius = 10 ÷ 2 = 5cm Step 2: Area of square = 10 x 10 = 100cm2 Step 3: Area of circle = π x r x r = π x 5 x 5 = 78.550cm2 Step 3: Area of triangle = x b x h = x 5 x 5 = 12.5cm2 Step 4: Area of 2 triangles = 12.5 x 2 = 25cm2 Step 5: Area of shaded part = (square - circle) + triangle = (100 - 78.550) + 25 = 46.450cm2 ≈ 46cm2 |
4) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 14cm 14cm Answer: 91cm2 SOLUTION 1 : Step 1: Diameter = 14cm Radius = 14 ÷ 2 = 7cm Step 2: Area of square = 14 x 14 = 196cm2 Step 3: Area of circle = π x r x r = π x 7 x 7 = 153.958cm2 Step 3: Area of triangle = x b x h = x 7 x 7 = 24.5cm2 Step 4: Area of 2 triangles = 24.5 x 2 = 49cm2 Step 5: Area of shaded part = (square - circle) + triangle = (196 - 153.958) + 49 = 91.042cm2 ≈ 91cm2 |
5) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 24cm 24cm Answer: 268cm2 SOLUTION 1 : Step 1: Diameter = 24cm Radius = 24 ÷ 2 = 12cm Step 2: Area of square = 24 x 24 = 576cm2 Step 3: Area of circle = π x r x r = π x 12 x 12 = 452.448cm2 Step 3: Area of triangle = x b x h = x 12 x 12 = 72.0cm2 Step 4: Area of 2 triangles = 72.0 x 2 = 144cm2 Step 5: Area of shaded part = (square - circle) + triangle = (576 - 452.448) + 144 = 267.552cm2 ≈ 268cm2 |
6) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 32cm 32cm Answer: 476cm2 SOLUTION 1 : Step 1: Diameter = 32cm Radius = 32 ÷ 2 = 16cm Step 2: Area of square = 32 x 32 = 1024cm2 Step 3: Area of circle = π x r x r = π x 16 x 16 = 804.352cm2 Step 3: Area of triangle = x b x h = x 16 x 16 = 128.0cm2 Step 4: Area of 2 triangles = 128.0 x 2 = 256cm2 Step 5: Area of shaded part = (square - circle) + triangle = (1024 - 804.352) + 256 = 475.648cm2 ≈ 476cm2 |
7) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 20cm 20cm Answer: 186cm2 SOLUTION 1 : Step 1: Diameter = 20cm Radius = 20 ÷ 2 = 10cm Step 2: Area of square = 20 x 20 = 400cm2 Step 3: Area of circle = π x r x r = π x 10 x 10 = 314.200cm2 Step 3: Area of triangle = x b x h = x 10 x 10 = 50.0cm2 Step 4: Area of 2 triangles = 50.0 x 2 = 100cm2 Step 5: Area of shaded part = (square - circle) + triangle = (400 - 314.200) + 100 = 185.800cm2 ≈ 186cm2 |
8) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 12cm 12cm Answer: 67cm2 SOLUTION 1 : Step 1: Diameter = 12cm Radius = 12 ÷ 2 = 6cm Step 2: Area of square = 12 x 12 = 144cm2 Step 3: Area of circle = π x r x r = π x 6 x 6 = 113.112cm2 Step 3: Area of triangle = x b x h = x 6 x 6 = 18.0cm2 Step 4: Area of 2 triangles = 18.0 x 2 = 36cm2 Step 5: Area of shaded part = (square - circle) + triangle = (144 - 113.112) + 36 = 66.888cm2 ≈ 67cm2 |
9) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 28cm 28cm Answer: 364cm2 SOLUTION 1 : Step 1: Diameter = 28cm Radius = 28 ÷ 2 = 14cm Step 2: Area of square = 28 x 28 = 784cm2 Step 3: Area of circle = π x r x r = π x 14 x 14 = 615.832cm2 Step 3: Area of triangle = x b x h = x 14 x 14 = 98.0cm2 Step 4: Area of 2 triangles = 98.0 x 2 = 196cm2 Step 5: Area of shaded part = (square - circle) + triangle = (784 - 615.832) + 196 = 364.168cm2 ≈ 364cm2 |
10) Find the shaded area, rounding off your answer to the nearest whole number. Π = 3.142 16cm 16cm Answer: 119cm2 SOLUTION 1 : Step 1: Diameter = 16cm Radius = 16 ÷ 2 = 8cm Step 2: Area of square = 16 x 16 = 256cm2 Step 3: Area of circle = π x r x r = π x 8 x 8 = 201.088cm2 Step 3: Area of triangle = x b x h = x 8 x 8 = 32.0cm2 Step 4: Area of 2 triangles = 32.0 x 2 = 64cm2 Step 5: Area of shaded part = (square - circle) + triangle = (256 - 201.088) + 64 = 118.912cm2 ≈ 119cm2 |