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)
How many more squares must I shade to get a figure of 31 cm²
squares
Answer:_______________
2)
How many more squares must I shade to get a figure of 40 cm²
squares
Answer:_______________
3)
How many more squares must I shade to get a figure of 30 cm²
squares
Answer:_______________
4)
How many more squares must I shade to get a figure of 26 cm²
squares
Answer:_______________
5)
How many more squares must I shade to get a figure of 21 cm²
squares
Answer:_______________
6)
How many more squares must I shade to get a figure of 47 cm²
squares
Answer:_______________
7)
How many more squares must I shade to get a figure of 41 cm²
squares
Answer:_______________
8)
How many more squares must I shade to get a figure of 27 cm²
squares
Answer:_______________
9)
How many more squares must I shade to get a figure of 44 cm²
squares
Answer:_______________
10)
How many more squares must I shade to get a figure of 29 cm²
squares
Answer:_______________
1)
How many more squares must I shade to get a figure of 31 cm²
Answer: 12 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 31 cm2 - 19 cm2 = 12
I must shade 12 more squares.
2)
How many more squares must I shade to get a figure of 40 cm²
Answer: 21 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 40 cm2 - 19 cm2 = 21
I must shade 21 more squares.
3)
How many more squares must I shade to get a figure of 30 cm²
Answer: 11 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 30 cm2 - 19 cm2 = 11
I must shade 11 more squares.
4)
How many more squares must I shade to get a figure of 26 cm²
Answer: 7 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 26 cm2 - 19 cm2 = 7
I must shade 7 more squares.
5)
How many more squares must I shade to get a figure of 21 cm²
Answer: 2 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 21 cm2 - 19 cm2 = 2
I must shade 2 more squares.
6)
How many more squares must I shade to get a figure of 47 cm²
Answer: 28 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 47 cm2 - 19 cm2 = 28
I must shade 28 more squares.
7)
How many more squares must I shade to get a figure of 41 cm²
Answer: 22 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 41 cm2 - 19 cm2 = 22
I must shade 22 more squares.
8)
How many more squares must I shade to get a figure of 27 cm²
Answer: 8 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 27 cm2 - 19 cm2 = 8
I must shade 8 more squares.
9)
How many more squares must I shade to get a figure of 44 cm²
Answer: 25 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 44 cm2 - 19 cm2 = 25
I must shade 25 more squares.
10)
How many more squares must I shade to get a figure of 29 cm²
Answer: 10 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 29 cm2 - 19 cm2 = 10
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