Practicing Class 8 Maths MCQ and Class 8 Maths Chapter 6 We Distribute, Yet Things Multiply MCQ Questions Online Test with Answers daily helps in time management.
MCQ on We Distribute, Yet Things Multiply Class 8
We Distribute, Yet Things Multiply MCQ Class 8
Class 8 Maths MCQ Chapter 6 We Distribute, Yet Things Multiply
Multiple Choice Questions
Question 1.
x2 – y2 = _____ is
(a) (x + y)(x – y)
(b) (x – y)(x – y)
(c) x(x – y)
(d) None of these
Answer:
(a) (x + y)(x – y)
Question 2.
If 12 × 15 = 180 then 13 × 16
(a) 228
(b) 198
(c) 218
(d) 208
Answer:
(d) 208
Question 3.
In a calendar, a 2 × 2 square has numbers n, n + 1, n + 7, n + 8. What is the difference between the diagonal products?
(a) 1
(b) 7
(c) 8
(d) 14
Answer:
(b) 7
Question 4.
A square has side length (x + 5). A smaller square of side x is cut out. What is the remaining area?
(a) 10x + 25
(b) 25 – 10x
(c) x2 + 25
(d) 5x + 10
Answer:
(a) 10x + 25
Question 5.
5237 × 11 is
(a) 57670
(b) 56767
(c) 57607
(d) 56607
Answer:
(c) 57607
Question 6.
If a = 7 and b = 4, what is the value of (a + b)2 + (a – b)2 is
(a) 65
(b) 130
(c) 140
(d) 125
Answer:
(b) 130
Question 7.
What is the value of 932 using the identity (a + b)2 ?
(a) 8549
(b) 8835
(c) 8099
(d) 8649
Answer:
(d) 8649
Question 8.
What is the product of the diagonals in any 2 × 2 square of calendar dates?
(a) Their difference is always 7
(b) They are equal
(c) Their sum is always 7
(d) Their product is always 7
Answer:
(a) Their difference is always 7
Fill in the blanks:
1. The expanded from of (a + 4)(a – 4) is _____ .
Answer: a2 – 16
2. The remainder when (7k + 3)2 is divided by 7 is _____ .
Answer: 2
3. The expression (3x – 4y)2 expands to 9x2 – _____ + 16 y2.
Answer: 24 xy
4. 2(_____) = (a + b)2 + (a – b)2
Answer: a2 + b2
State whether the given statements are true or false.
(a) (x – a)2 = x2 – 2 ax + a2
Answer: True
(b) (a – b)2 = a2 – b2 – 2 ab
Answer: False
(c) (101)2 = (100 + 2)2
Answer: False
(d) (p + r)2 = (p + r)(p + r)
Answer: True
(e) (99)2 = (100 + 1)2 – (100 – 1)2
Answer: False
Do as Directed
Question 1.
If a number ‘ x ‘ is increased by 5 and another number ‘y’ is decreased by 3, by how much does their product change?
Answer:
5y – 3x – 15
Question 2.
Find the product using a suitable identity or the distributive property.
(a) (3x + 5)(3x – 5)
(b) (5x – 2)(4x + 3)
(c) (7x – 3)2
(d) (-4x + 5)2
Answer:
(a) 9 x2 – 25
(b) 20 x2 + 7 x – 6
(c) 49 x2 – 42 x + 9
(d) 16 x2 – 40 x + 25
Question 3.
If a general ticket for a cricket match costs ₹(y + 15) and a VIP ticket costs ₹(2y – 5), and a group of (y + 2) people buys one of each, what’s the total cost?
Answer:
3y2 + 16y + 20
Question 4.
Write an expression for the area of unshaded region in the given figure. If x = 12 and y = 7, find the area of shaded region.
Answer:
Expression for:
Area of unshaded region = x2 – x y + y2
Area of shaded region = 35 sq. unit