Are these practice questions for Algebra Play based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 8 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Algebra Play free?

Yes. Every chapter includes free practice questions for Class 8 students to get you started.

What types of questions are included?

The practice set for Algebra Play mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Algebra Play for full coverage.

How many practice questions are there for Algebra Play?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Algebra Play Class 8 Mathematics Practice Questions with Answers

easy

List the six possible products that can be formed using the digits 4, 6, and 8, with each digit used once, in the format

□□ \times □

.

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easy

In the following algebra grid, each shape represents a unique number. The number at the end of a row is the sum of the values in that row. Calculate the value of the triangle (

\triangle

).

Row 1:

\triangle + \triangle + \bigcirc = 17

Row 2:

\bigcirc + \bigcirc + \bigcirc = 21

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easy

Define the rule used to fill the numbers in a number pyramid.

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easy

In a number pyramid with three rows, the numbers in the bottom row are

a, b, c

. Formulate an expression for the number in the top block.

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easy

Explain using algebra why the following 'Think of a Number' trick always results in the number 5.

Think of a number.
Double it.
Add 10.
Divide by 2.
Subtract the original number.

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easy

Critique the following 'Think of a Number' trick. Explain why it fails to produce a single, predictable answer for every starting number.

Think of a number.
Add 10.
Multiply by 2.
Subtract your original number.

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easy

A number trick follows these steps:

Think of a number.
Multiply it by 3.
Add 15.
Divide by 3.
Subtract the original number.

Calculate the final result of this trick.

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easy

Describe the algebraic representation of a 3-digit number, which has digits

a, b, c

from left to right, and the representation of the number formed by reversing its digits.

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easy

Analyze the following number trick using algebra to demonstrate that the final result is always 5.

Steps:

Think of a number.
Double it.
Add 20.
Divide by 2.
Subtract 5.
Subtract the original number.

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easy

Design a 'Think of a Number' trick with at least four steps that always results in the number 10. You must use multiplication by a number other than 1, and division. Justify your trick using algebra.

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easy

Recall the algebraic expression for the sum of four numbers in a

2 \times 2

calendar grid if the top-left number is represented by the variable

x

.

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medium

Explain using algebra why the sum of any 2-digit number and its reverse is always divisible by 11.

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medium

Propose the arrangement of the digits 4, 6, and 8 in the boxes □□ × □ that will create the largest possible product. Justify your choice without performing the final calculation.

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medium

Describe how you would set up the necessary algebraic equations to find the values of the two empty blocks,

x

and

y

, in the bottom row of the 3-row number pyramid shown below.

Pyramid structure: Top: 45 Middle: [a, b] Bottom: [10, x, y]

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medium

For a number pyramid with 4 rows, the bottom row consists of four numbers a, b, c, and d. Derive a general algebraic expression for the number in the topmost block. Based on your expression, critique the impact of the inner numbers (b, c) versus the outer numbers (a, d) on the final result.

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medium

Name the mathematical property that is used to rewrite the expression

11a + 11b

as

11(a + b)

.

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medium

A date trick follows these steps: 1. Take the month number (M). 2. Multiply by 20. 3. Add 5. 4. Multiply by 5. 5. Add the day number (D). If a person's final answer is 1250, calculate the original date (Day and Month) they thought of.

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medium

On a calendar, a cross shape of 5 dates is chosen (one central date, and the dates directly above, below, left, and right of it). If the sum of these 5 dates is 80, calculate all 5 dates.

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medium

In the given number pyramid, the value in each box is the sum of the two boxes directly below it. The bottom row is

[4, a, b]

and the row directly above it is

[10, 13]

. Calculate the values of

a

and

b

.

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medium

Design a mathematical trick where you ask a friend to perform a series of operations on their 3-digit house number, which will allow you to determine the number. The trick must conclude with your friend telling you a final number, from which you will subtract a constant and the result will be their house number. Justify with algebra why your trick works.

(Example constraint: The house number is unknown to you, but you can assume it's between 100 and 999).

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medium

In a number pyramid, the number in a box is the sum of the two boxes directly below it. Calculate the value of

x

in the pyramid where the bottom row is

[5, x, 4]

and the single box at the top has the value 20.

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medium

Analyze the sum of any 2-digit number and the number formed by reversing its digits. Use algebra to demonstrate that the sum is always divisible by 11.

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medium

A parking lot contains only cars and motorcycles. You are told that there are a total of 60 vehicles and a total of 190 wheels. Calculate the number of cars and the number of motorcycles in the lot.

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medium

Explain step-by-step, using algebra, why the following 'Think of a Number' trick always results in the number 1.

Think of a number.
Multiply the number by 3.
Add 6 to the result.
Divide the new result by 3.
Subtract 1 from the result.
Finally, subtract the original number you thought of.

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medium

The top number of a 3-row pyramid is 52. The numbers in the bottom-left and bottom-right corners are 8 and 12, respectively. Formulate the necessary equations and find the number in the bottom-middle position.

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medium

Identify the general algebraic form of the difference between a 2-digit number, represented as

ab

, and its reverse,

ba

, where

a > b

.

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medium

Critique the statement: "If you take any three-digit number abc where the first and last digits are different, the absolute difference between this number and the number formed by reversing its digits, cba, is always divisible by 99." Justify your conclusion using algebra.

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medium

Design a calendar trick using a '+' shaped grid of 5 squares. First, formulate a general expression for the sum of the numbers in this grid in terms of the center number, c. Then, if a friend tells you the sum is 115, create the grid of 5 numbers.

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medium

A date-finding trick uses the formula

100M + 165 + D

to get a final number, where

M

is the month number and

D

is the day. If a person reports a final number of 495, summarize the algebraic process to find the original date.

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medium

A calendar trick involves choosing a vertical block of 3 dates (e.g., 5, 12, 19). A friend tells you the sum of the three dates is 45. Describe the algebraic expressions for the three dates in terms of a single variable, and explain the process to find what the three dates are.

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medium

Using the digits 4, 6, and 8 exactly once, calculate the largest possible product for an expression in the form

\Box\Box \times \Box

.

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medium

Explain the algebraic relationship between the numbers in the bottom row of a three-row number pyramid and the single number at the top. Use the variables

a

,

b

, and

c

for the bottom row.

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medium

Create a 2x3 algebra grid (2 rows, 3 columns) where the third column is the sum of the first two. Use two different shapes, a circle (○) and a star (☆). The values for the shapes must be distinct prime numbers less than 10. Fill in the sum column and then require a student to solve for the shapes.

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medium

Formulate a single algebraic expression for the sum of the four numbers in a

2 \times 2

grid on a calendar, using only the variable

d

which represents the number in the bottom-right corner.

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medium

In the grid, the number in the final column is the sum of the values in its row. Each shape represents a unique number. Calculate the value of the star (☆) and the square (□).

Row 1: ☆ + ☆ + □ = 20 Row 2: ☆ + □ + □ = 22

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medium

A farmer has some goats and chickens. The total number of heads is 40, and the total number of legs is 110. Formulate a system of equations to represent this scenario and determine the number of goats and chickens.

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medium

Justify algebraically why the sum of any two-digit number and the number formed by reversing its digits is always divisible by 11.

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medium

The sum of three consecutive odd integers is 87. Calculate the three integers.

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hard

A number pyramid has 4 rows. The values in the bottom row are given as

a, b, c, d

. Analyze the pyramid structure to write an algebraic expression for the number in the topmost box in terms of

a, b, c,

and

d

.

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hard

Evaluate the general rule for creating the largest product from four distinct non-zero digits

p, q, r, s

(where

p<q<r<s

) in the format □□ × □□. Propose which arrangement of digits is most likely to yield the largest product. Justify your proposal by algebraically expanding and comparing the two most likely candidates: sr × qp and sq × rp.

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hard

Devise a 'Think of a Number' trick with at least four steps that will always result in the number 7. Demonstrate with algebra why your trick works.

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hard

Recall the rule to arrange three distinct digits

p, q,

and

r

, where

p < q < r

, in the blanks of

□□ \times □

to make the largest possible product. Explain which digit goes in which position.

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hard

In a modified 'Karim and the Genie' problem, Karim starts with

x

coins. Each time he goes around a tree, his coins double, and he must give the genie 20 coins. Formulate an expression for the number of coins he has after 2 rounds. Then, determine the initial number of coins if he had exactly 10 coins after 2 rounds.

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hard

Summarize the algebraic justification for the trick where you take any 3-digit number (

abc

), form two other numbers by cycling the digits (

bca

and

cab

), and add the three numbers together. Explain why the sum is always divisible by 37.

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hard

A boy plays a game at a carnival. In each round, he must first pay the owner ₹5 and then the money he has left is doubled. He plays exactly three rounds. After the third round, he is left with ₹40. Calculate the amount of money he started with.

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Algebra PlayClass 8 Mathematics Practice Questions