Practicing Class 8 Maths MCQ and Class 8 Maths Part 2 Chapter 6 Algebra Play MCQ Questions Online Test with Answers daily helps in time management.
MCQ on Algebra Play Class 8
Algebra Play MCQ Class 8
Class 8 Algebra Play MCQ
Multiple Choice Questions
Question 1.
In a “Think of a Number” trick, let the chosen number be x. If the steps are:
Multiply by 2 → Add 6 → Divide by 2 → Subtract x, the final result is
(a) 2
(b) 3
(c) 6
(d) x
Answer:
(b) 3
Question 2.
Let the chosen number be x. The expression for “double the number and add 5” is
(a) 2 + x
(b) x + 5
(c) 2x + 5
(d) x2 + 5
Answer:
(c) 2x + 5
Question 3.
In a number pyramid, each number is
(a) the product of the two numbers below it.
(b) the difference of the two numbers below it.
(c) the sum of the two numbers below it.
(d) half of the sum of the two numbers below it.
Answer:
(c) the sum of the two numbers below it.
Question 4.
If the bottom row of a number pyramid is 3 and 5 then the top number is
(a) 8
(b) 15
(c) 2
(d) 10
Answer:
(a) 8
Question 5.
The top number of a 3-row number pyramid with bottom row a, b, c is
(a) a + b + c
(b) a + 2b + c
(c) 2a + b + 2c
(d) ab + bc
Answer:
(b) a + 2b + c
Question 6.
In a calendar grid, the number below a given number increases by
(a) 1
(b) 5
(c) 6
(d) 7
Answer:
(d) 7
Question 7.
In a 2 x 2 calendar grid, if the top-left number is a, the sum of the grid is
(a) 4a
(b) 4a + 8
(c) 4a + 16
(d) 4a + 14
Answer:
(c) 4a + 16
Question 8.
If the sum of a 2 × 2 calendar grid is 40, the top-left number is
(a) 4
(b) 5
(c) 6
(d) 7
Answer:
(c) 6
Question 9.
Using digits 2, 3 and 5 once, the largest product is
(a) 23 × 5
(b) 25 × 3
(c) 32 × 5
(d) 53 × 2
Answer:
(c) 32 × 5
Question 10.
The sum of the three cyclic numbers abc, foca and cab is always divisible by
(a) 9
(b) 11
(c) 37
(d) 8
Answer:
(c) 37
Assertion-Reason Questions
Question 1.
Assertion (A) The final answer of a “Think of a Number” trick can be the same for all starting numbers.
Reason (R) The variable representing the number cancels out during simplification.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Question 2.
Assertion (A) In a number pyramid with bottom row a, band c, the top number is a + 2b + c.
Reason (R) Each level of the number pyramid is formed by adding adjacent numbers.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.
Answer:
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Fill in the Blanks
1. In a number pyramid, each number is the ________ of the two numbers directly below it.
Answer:
sum
2. In a calendar grid, the number below a given date increases by ________.
Answer:
7
3. The difference between a two-digit number and its reverse is always divisible by ________.
Answer:
9
4. To get the largest product using three digits, the ________ digit should be used as the multiplier.
Answer:
largest
5. The sum of a two-digit number and its reverse is always divisible by ________.
Answer:
11
True/False
Question 1.
Algebra helps in explaining mathematical tricks logically.
Answer:
True
Question 2.
In a calendar grid 2 × 2, numbers increase by 5 vertically.
Answer:
False
Question 3.
The top number of a number pyramid depends only on one bottom number.
Answer:
False
Question 4.
The sum of a two-digit number and its reverse is divisible by 11.
Answer:
True
Question 5.
The repeating of three-digit number abcabc is always divsible by 7, Hand 13.
Answer:
True
Match the Columns
Question 1.
Match the Column A to Column B. (Calendar and Pyramids)
| Column A | Column B |
| (i) 2 × 2 calendar grid sum is | (a) a + 3b + 3c + d |
| (ii) It p < q < r then largest product from these number is | (b) 4a + 16 product from these |
| (iii) The number at the top of a 4-row number pyramid is | (c) qp × r |
| (iv) The number at top of 3-row number pyramid is | (d) a + 2b + c |
Answer:
| Column A | Column B |
| (i) 2 × 2 calendar grid sum is | (b) 4a + 16 |
| (ii) It p < q < r then largest product from these number is | (c) qp × r |
| (iii) The number at the top of a 4-row number pyramid is | (a) a + 3b + 3c + d |
| (iv) The number at top of 3-row number pyramid is | (d) a + 2b + c |
Question 2.
Match the Column A to Column B.
(Divisibility and Products)
| Column A | Column B |
| (i) Difference of a two-digit number and its reverse is | (a) Divisible by 11 |
| (ii) Sum of a two-digit number and its reverse is | (b) Divisible by 9 |
| (iii) abc + bca + cab is | (c) As multiplier |
| (iv) Largest digit is used in largest product rule | (d) Divisible by 37 |
Answer:
| Column A | Column B |
| (i) Difference of a two-digit number and its reverse is | (b) Divisible by 9 |
| (ii) Sum of a two-digit number and its reverse is | (a) Divisible by 11 |
| (iii) abc + bca + cab is | (d) Divisible by 37 |
| (iv) Largest digit is used in largest product rule | (c) As multiplier |