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Class 7 Math Practice Test Online

In Class 7, mathematics becomes more application-driven, checking whether a student can translate a word problem into an equation, compare proportional relationships, and work through geometry and data questions with clear steps, not just a final answer.

Class 7Math

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Reviewed by Hari Narayana · Maths Faculty, GV Academy · 14+ years teaching Class 6-10 Math, reviewed for curriculum & exam alignment.Fraction operations, perimeter calculations, and integer rules verified with clear, step-by-step accuracy.

Last reviewed: August 2026

⚡ Quick quiz

Test yourself in under a minute: Class 7 Math Practice Test

Rational number comparisons, triangle angle rules, and profit-and-loss word problems make up the bulk of these questions.

1. Find the value of: -25 + (-14) - (-18).
2. Multiply the fractions: 2/3 x 3/5.
3. Two angles add up to exactly 90 degrees. What do we call this pair of angles?
4. A factory completed 72 parts out of an order of 90. Write this as a percentage.
5. In the expression 7x - 3y + 5, list all the terms.

💭 Think about this

Can you solve a multi-step ratio or unitary-method word problem and show the working, not just the final number?

Questions below are grouped by topic, pick the Math topics you want to practice, or swap in your own worksheet, notebook, or textbook questions any time.

Integers & Rational Numbers

Covers multiplying and dividing integers, order of operations, and comparing, ordering, and adding rational numbers.

📋 Quick referenceSign Rules & Rational Numbers▶

Multiplying / Dividing Signs
- Same signs (both positive or both negative) give a positive result.
- Different signs give a negative result.
Order of operations (BODMAS): Brackets, Of, Division/Multiplication, Addition/Subtraction, working left to right within each level.
A rational number is any number that can be written as one integer divided by another non-zero integer.

Making Sign Rules and Rational Number Comparisons Automatic

For Teachers

Integer arithmetic at this level rewards a fixed, repeatable process over quick mental math. Rewriting subtraction of a negative as addition before calculating prevents most errors.
A rational number is simply any number that can be written as one whole number divided by another, so -3/4, 5, and 0.6 all qualify.
Comparing negative fractions confuses many students at first, since a fraction like -1/3 can look bigger than -1/4 at a glance. A number line clears this up quickly: numbers further left are always smaller, negative or not.
Order-of-operations (BODMAS) questions are best practiced by having students rewrite the expression step by step on paper, marking off each operation as it's done.
When a student gets a comparison of two negative fractions backward, have them plot both on a number line before answering rather than reasoning from the digits alone. That single check resolves most of these errors.

1. Multiply: -8 x 9.
▶Reveal answer
-72
A negative number multiplied by a positive number always gives a negative result: 8 x 9 = 72, so -8 x 9 = -72.
2. Divide: -72 divided by 8.
▶Reveal answer
-9
Just like multiplication, a negative number divided by a positive number gives a negative result: 72 divided by 8 is 9, so -72 divided by 8 is -9.
3. Solve using the correct order of operations: 36 + 24 divided by 6 - 4 x 3.
▶Reveal answer
28
Following BODMAS, division and multiplication come before addition and subtraction: 24 divided by 6 is 4, and 4 x 3 is 12. Then working left to right: 36 + 4 - 12 = 28.
4. Is -3/4 a rational number? Explain why.
▶Reveal answer
Yes, because it can be written as one whole number divided by another (-3 divided by 4), with the bottom number not zero.
A rational number is any number that can be written as p/q, where p and q are whole numbers and q is not zero. Since -3/4 fits this exactly, it is a rational number.
5. Which is greater: -2/5 or -3/5?
▶Reveal answer
-2/5 is greater
On a number line, negative numbers closer to zero are greater than ones farther away. Since -2/5 is closer to zero than -3/5, -2/5 is the greater number.
6. Add the rational numbers: 2/3 + (-1/6).
▶Reveal answer
1/2
Convert to a common denominator first: 2/3 becomes 4/6. Adding a negative is the same as subtracting, so 4/6 - 1/6 = 3/6, which simplifies to 1/2.
7. Arrange these rational numbers in ascending order: -1/2, 3/4, -3/2, 0.
▶Reveal answer
-3/2, -1/2, 0, 3/4
Ascending order means smallest to largest. Negative numbers come before zero, and -3/2 is farther from zero than -1/2, so it is smaller. Positive 3/4 comes last.

Fractions, Decimals & Simple Equations

Tests multiplying and dividing fractions and decimals, real-world word problems, and setting up and solving simple equations.

📋 Quick referenceFraction & Equation Rules▶

Fractions
- Multiplying: multiply the numerators together and the denominators together.
- Dividing: flip the second fraction (its reciprocal), then multiply.
Think of an equation as a balanced scale: whatever you add, subtract, multiply, or divide on one side, you must do to the other side too, or it tips out of balance.

Writing the Relationship Before Solving It

For Teachers

For fraction multiplication and division, have students write each operation in a separate line and check whether the question asks them to combine parts or share them into groups.
Decimal multiplication is easiest when a student first estimates roughly (3 times 1 is about 3), then places the decimal point in the exact answer to match.
Simple equations are won or lost at the setup stage, not the calculation stage. Before solving, have students restate the word problem as a sentence with a blank for the unknown, since this catches most setup errors before they happen.
After each equation step, ask students to read both sides aloud and check that the unknown is being isolated rather than moved by guesswork.
A student who gets the arithmetic right but the equation wrong almost always skipped the restate-the-sentence step. Make that step mandatory on the first few practice problems rather than optional.

1. Divide: 6/7 divided by 3/4.
▶Reveal answer
8/7 (or 1 1/7)
To divide by a fraction, multiply by its reciprocal instead: (6/7) x (4/3) = 24/21, which simplifies to 8/7, or 1 1/7 as a mixed number.
2. Multiply the decimals: 3.2 x 1.5.
▶Reveal answer
4.8
Multiply as if there were no decimal points first: 32 x 15 = 480. Since both numbers together have 2 decimal places, place the decimal point 2 digits from the right: 4.80, or 4.8.
3. A recipe needs 2.5 cups of flour for one cake. How much flour is needed for 3 cakes?
▶Reveal answer
7.5 cups
Multiply the amount for one cake by the number of cakes: 2.5 x 3 = 7.5 cups.
4. Reena had some marbles. After giving away 8, she had 25 left. Write an equation for this and find how many marbles she started with.
▶Reveal answer
x - 8 = 25, so x = 33 marbles
Let x be the number of marbles Reena started with. Giving away 8 means subtracting 8, giving the equation x - 8 = 25. Adding 8 to both sides gives x = 33.
5. Solve for y: y + 145 = 320.
▶Reveal answer
y = 175
Subtract 145 from both sides to isolate y: y = 320 - 145 = 175.
6. Solve for P: 6P = 72.
▶Reveal answer
P = 12
Divide both sides by 6 to isolate P: P = 72 divided by 6 = 12.
7. Three times a number, decreased by 7, equals 20. Find the number.
▶Reveal answer
9
Writing this as an equation gives 3x - 7 = 20. Adding 7 to both sides gives 3x = 27, and dividing both sides by 3 gives x = 9.

Lines, Angles & Triangles

Covers angle pairs, the angle sum property of a triangle, the triangle inequality rule, and the Pythagoras theorem.

📋 Quick referenceAngle & Triangle Rules▶

For an angle pair, decide whether the two angles complete a right angle or a straight line before finding the missing amount.
In a triangle problem, add the known angles first and compare their total with the full turn inside the shape.
Triangle inequality rule: the two shorter sides must add up to more than the longest side.
Pythagoras theorem (right triangles only): (hypotenuse)² = (side 1)² + (side 2)².

Sketching Triangles Before Calculating

For Teachers

Angle and triangle questions become far more reliable once a rough sketch is drawn on paper, marking the known angles or sides before doing any calculating.
Use a paper triangle and a protractor to measure all three corners, then add the measurements as a check on the diagram.
Before deciding whether three lengths form a triangle, add the two shorter lengths and compare that total with the longest length.
On the triangle inequality question, a student who answers 'yes' for any three numbers is likely just checking that all three are positive rather than actually comparing the two shorter sides against the longest.

1. Two angles are supplementary. If one angle measures 115 degrees, what is the other angle?
▶Reveal answer
65 degrees
Supplementary angles add up to 180 degrees. The other angle is 180 - 115 = 65 degrees.
2. What is the sum of the interior angles of any triangle?
▶Reveal answer
180 degrees
No matter its shape or size, the three interior angles of any triangle always add up to 180 degrees. This is called the angle sum property of a triangle.
3. In a triangle, two angles measure 50 degrees and 65 degrees. Find the third angle.
▶Reveal answer
65 degrees
Since all three angles add up to 180 degrees, the third angle is 180 - 50 - 65 = 65 degrees.
4. Can a triangle have sides of length 3 cm, 4 cm, and 8 cm? Explain using the triangle inequality rule.
▶Reveal answer
No, because 3 + 4 = 7, which is less than 8.
The triangle inequality rule says the sum of any two sides of a triangle must be greater than the third side. Here, the two shorter sides add up to only 7 cm, which is not enough to reach the third side of 8 cm, so this triangle cannot exist.
5. A right triangle has two shorter sides of 6 cm and 8 cm. Find the length of the hypotenuse using the Pythagoras theorem.
▶Reveal answer
10 cm
The Pythagoras theorem states that (hypotenuse)^2 = (one side)^2 + (other side)^2. Here, 6^2 + 8^2 = 36 + 64 = 100, and the square root of 100 is 10 cm.

Comparing Quantities

Covers percentages, profit and loss, simple interest, and the unitary method.

📋 Quick referencePercentage, Profit/Loss & Interest Formulas▶

Percentage = (part ÷ whole) × 100.
Profit & Loss
- Profit % = (Profit ÷ Cost Price) × 100.
- Loss % = (Loss ÷ Cost Price) × 100.
Simple Interest = (Principal × Rate × Time) ÷ 100.
For unitary-method word problems, always find what ONE unit is worth before scaling up or down to the quantity actually asked for.

Setting Up Money Problems Before Solving Them

For Teachers

For profit, loss, and simple interest questions, have students write out the cost price, selling price, or interest rate as separate labeled numbers first, before combining them into a formula.
Percentage questions are easiest when students convert the percentage to a fraction out of 100 before multiplying, rather than trying to do the calculation in their head.

1. Find 4% of 250.
▶Reveal answer
10
4% of 250 = (4 divided by 100) x 250 = 0.04 x 250 = 10.
2. A shopkeeper bought a toy for Rs. 200 and sold it for Rs. 250. Find the profit percent.
▶Reveal answer
25%
Profit = selling price - cost price = 250 - 200 = Rs. 50. Profit percent = (profit divided by cost price) x 100 = (50 divided by 200) x 100 = 25%.
3. Find the simple interest on Rs. 5000 at 6% per year for 2 years.
▶Reveal answer
Rs. 600
Simple interest = (principal x rate x time) divided by 100 = (5000 x 6 x 2) divided by 100 = 60000 divided by 100 = Rs. 600.
4. If 4 identical boxes weigh 120 kg in total, find the weight of 9 identical boxes using the unitary method.
▶Reveal answer
270 kg
First find the weight of 1 box: 120 divided by 4 = 30 kg. Then multiply by 9 to find the weight of 9 boxes: 30 x 9 = 270 kg.

Algebraic Expressions & Exponents

Tests identifying terms and coefficients, adding and subtracting algebraic expressions, and applying the laws of exponents.

📋 Quick referenceAlgebra & Exponent Rules▶

In a term like 5x, the number sitting in front of the letter is called the coefficient.
Only combine like terms, ones with the same variable raised to the same power.
Laws of Exponents
- Multiplying the same base: add the exponents (aᵐ × aⁿ = aᵐ⁺ⁿ).
- Power of a power: multiply the exponents ((aᵐ)ⁿ = aᵐˣⁿ).

Naming the Parts of an Expression Before Combining Them

For Teachers

An algebraic expression is built from terms separated by plus or minus signs, and each term has a coefficient, the number multiplying the variable.
Have students circle each term separately before adding or subtracting expressions, so that only matching terms get combined, never a term with one variable combined with a term of a different variable.
Before applying an exponent rule, circle the base in each term and decide whether the expression multiplies matching bases or raises one power again.
Practicing a few examples side by side makes these rules easier to remember than trying to memorize them as separate facts.
When a student combines unlike terms (adding a variable term to a constant, or two different variables together), it usually means they're pattern-matching on the plus sign rather than checking that the terms actually match first.

1. What is the coefficient of x in the term 9x?
▶Reveal answer
9
The coefficient is the number multiplying the variable. In 9x, the number 9 is being multiplied by the variable x, so 9 is the coefficient.
2. Add the algebraic expressions: (3x + 5) + (2x - 4).
▶Reveal answer
5x + 1
Combine the matching terms separately: the x terms (3x + 2x = 5x) and the constant terms (5 - 4 = 1), giving 5x + 1.
3. Subtract: (5y + 8) - (2y + 3).
▶Reveal answer
3y + 5
Subtract each matching term: the y terms (5y - 2y = 3y) and the constant terms (8 - 3 = 5), giving 3y + 5.
4. What is the value of 4 raised to the power of 3?
▶Reveal answer
64
4 to the power of 3 means 4 multiplied by itself 3 times: 4 x 4 x 4 = 64.
5. Simplify using the laws of exponents: 3 squared x 3 to the power of 4.
▶Reveal answer
3 to the power of 6 (which equals 729)
When multiplying two powers with the same base, add the exponents: 2 + 4 = 6, giving 3 to the power of 6, which equals 729.
6. Simplify: (2 cubed) squared.
▶Reveal answer
2 to the power of 6 (which equals 64)
When raising a power to another power, multiply the exponents: 3 x 2 = 6, giving 2 to the power of 6, which equals 64.
7. Write 45,000,000 in standard (scientific) form.
▶Reveal answer
4.5 x 10 to the power of 7
Standard form writes a large number as a decimal between 1 and 10, multiplied by a power of 10. Moving the decimal point in 45,000,000 back 7 places gives 4.5 x 10 to the power of 7.

Perimeter & Area

Measures the area of triangles, parallelograms, and the circumference and area of circles.

📋 Quick referenceArea & Circumference Formulas▶

Area of a triangle = ½ × base × height.
Area of a parallelogram = base × height (use the perpendicular height, not the slanted side).
Circle
- Circumference = 2 × π × radius.
- Area = π × radius².

Matching the Right Formula to the Shape

For Teachers

Area formulas are easiest to keep straight by remembering what each shape's formula actually measures. A parallelogram's area uses its height (the straight-up distance), not the length of its slanted side.
For circles, the same two formulas, circumference and area, use the radius in a different way, so writing both formulas side by side helps avoid mixing them up.
A student who uses a parallelogram's slanted side instead of its height is a strong sign they're pattern-matching from the rectangle formula. Have them mark the perpendicular height on the shape before writing the formula.

1. Find the area of a right-angled triangle with base 12 cm and height 7 cm.
▶Reveal answer
42 sq. cm
Area of a triangle = half x base x height = half x 12 x 7 = 42 square centimetres.
2. Find the area of a parallelogram with base 10 cm and height 6 cm.
▶Reveal answer
60 sq. cm
Area of a parallelogram = base x height = 10 x 6 = 60 square centimetres. The height is the straight-up distance between the two parallel sides, not the length of the slanted side.
3. Find the circumference of a circle with radius 7 cm. (Use pi = 22/7)
▶Reveal answer
44 cm
Circumference = 2 x pi x radius = 2 x (22/7) x 7 = 44 cm. Using 22/7 for pi cancels neatly with a radius of 7.
4. Find the area of a circle with radius 14 cm. (Use pi = 22/7)
▶Reveal answer
616 sq. cm
Area of a circle = pi x radius x radius = (22/7) x 14 x 14 = 22 x 2 x 14 = 616 square centimetres.

Data Handling & Probability

Measures mean, median, mode, reading a double bar graph, and basic probability.

📋 Quick referenceMean, Median, Mode & Probability▶

Mean = sum of all values ÷ number of values.
Median = the middle value once all numbers are sorted in order.
Mode = the value that appears most often.
Probability = number of favourable outcomes ÷ total number of possible outcomes.

Reading Data Carefully

For Teachers

Mean, median, and mode are three different ways of describing a 'typical' value in a data set, so practicing all three on the same small set of numbers shows clearly how they can give different answers.
For a probability question, list all possible outcomes first, then mark the outcomes that match the event before forming the fraction.

1. The daily production over five days was 45, 50, 55, 40, and 60 units. Find the mean.
▶Reveal answer
50
Mean = sum of all values divided by how many values there are = (45 + 50 + 55 + 40 + 60) divided by 5 = 250 divided by 5 = 50.
2. Find the median of these numbers: 12, 7, 15, 9, 21.
▶Reveal answer
12
First arrange the numbers in order: 7, 9, 12, 15, 21. The median is the middle value once sorted, which here is 12.
3. Find the mode of these numbers: 4, 6, 4, 8, 4, 9, 6.
▶Reveal answer
4
The mode is the number that appears most often. Here, 4 appears three times, more than any other number, so 4 is the mode.
4. A double bar graph shows Monday's sales as Shop A: 30 and Shop B: 20. Which shop sold more, and by how many?
▶Reveal answer
Shop A sold more, by 10.
Comparing the two bars directly, Shop A's 30 is 10 more than Shop B's 20. A double bar graph places two bars side by side for each category so they can be compared at a glance.
5. A bag has 3 red balls and 2 blue balls. If one ball is picked at random, what is the probability that it is red?
▶Reveal answer
3/5
Probability = number of favourable outcomes divided by total outcomes. There are 3 red balls out of 5 balls in total, so the probability of picking red is 3/5.

Where students at this level usually slip

Integer operations with double negatives (subtracting a negative number) are the most common silent error at this level. Rewriting '- (-x)' as '+ x' before calculating anything else prevents most sign mistakes.
Word problems involving ratios, the unitary method, or percentages are usually lost to setting up the wrong relationship, not to arithmetic mistakes. Encourage writing the relationship in words first ('3 packets : 90 pencils') before converting it into numbers.

Frequently asked questions

How much math does a Class 7 student need to know?

Working confidently with negative and rational numbers, setting up and solving simple equations, applying triangle properties like the Pythagoras theorem, calculating profit, loss, and simple interest, working with algebraic terms and the laws of exponents, and finding area, mean, median, mode, and probability.

Why does my child get the right method but the wrong final answer?

Usually a small slip in the last step, like forgetting to simplify a fraction, misplacing a decimal point, or dropping a unit label, rather than a gap in understanding. Have them read the final answer back against the question and check it actually answers what was asked, in the right units.

Explore more for Class 7

Class 7 English practice test Class 7 Science practice test

Move between subjects in the same class to build a fuller revision routine.

Math learning ladder — Middle (Class 6-8)

See where Class 7 Math fits in the middle (class 6-8) years, and jump straight to the next step.

Class 6
Integers, Ratios & Introductory Algebra
The jump from Class 5: introduces negative numbers, ratio and the unitary method, and the first algebraic variables and equations, the first year of middle-school math.
Open test →
📍 You are here
Class 7
Rational Numbers, Exponents & Algebraic Expressions
Extends Class 6 further: integers become rational numbers, exponents and algebraic expressions enter the picture, and triangle geometry and proportional comparison bring in multi-step problems in place of single-step arithmetic.
Class 8
Roots, Factorisation & Applied Percentages
Class 7's algebra and geometry get real-world application here: square/cube roots, algebraic factorisation, and percentage-based problems like profit/loss and simple interest, the last middle-school milestone before Class 9 board-prep math.
Open test →

Once multi-step word problems stop feeling intimidating, Class 8's percentages and factorisation are just the next small step.

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