How many practice questions are available for Simple Equations?

SparkEd Math offers 60+ practice questions for Simple Equations across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Simple Equations content free on SparkEd Math?

Yes! All Simple Equations content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Simple Equations differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Simple Equations problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Simple Equations content aligned with the Olympiad syllabus?

Yes, all Simple Equations questions and lessons on SparkEd Math are fully aligned with the Mathematical Olympiad Preparation (Olympiad) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Simple Equations — Class 7 Olympiad (2025-26)

About Simple Equations — Class 7 Olympiad

Set up and solve linear equations from word problems; apply equation-solving to age, number, and geometry puzzles. This topic is part of the Olympiad Class 7 mathematics syllabus (chapter: Module 6). On this page you can practice 59 questions across three difficulty levels — 19 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Simple Equations — solved examples for Class 7 Olympiad

Example 1easy

On Tuesday, a baker baked 24 cupcakes. This amount was 6 more than twice the number of cupcakes he baked on Monday. How many cupcakes did he bake on Monday?

A)9
B)10
C)11
D)12

Step-by-step solution

Let 'x' be the number of cupcakes baked on Monday.
According to the problem, 'twice the number he baked on Monday' is 2x. '6 more than twice the number' is 2x + 6.
This amount is equal to the cupcakes baked on Tuesday, which is 24. So, 2x + 6 = 24.
Subtract 6 from both sides: 2x = 24 - 6 ⇒ 2x = 18. Divide by 2: x = 9.

Answer: 9

Example 2medium

In a competition, Rohan scored twice as many points as Amit. Sunny scored 10 points less than Rohan. If the total score of all three is 170 points, how many points did Sunny score?

A)62
B)58
C)66
D)72

Step-by-step solution

Let Amit's score be 'x' points.
Rohan's score is twice Amit's, so Rohan's score = 2x points.
Sunny's score is 10 points less than Rohan's, so Sunny's score = (2x - 10) points.
The total score of all three is 170 points: x + 2x + (2x - 10) = 170. This simplifies to 5x - 10 = 170. So, 5x = 180, which means x = 36.
Sunny's score = 2x - 10 = 2(36) - 10 = 72 - 10 = 62 points.

Answer: 62

Example 3hard

Three consecutive odd integers are such that twice the smallest integer is 17 more than the largest integer. What is the sum of these three integers?

A)63
B)69
C)75
D)81

Step-by-step solution

Let the three consecutive odd integers be x, x+2, and x+4.
According to the problem, twice the smallest integer is 17 more than the largest integer. Set up the equation: 2x = (x+4) + 17.
Solve for x: 2x = x + 21 => x = 21.
The three integers are 21, 23, and 25. Their sum is 21 + 23 + 25 = 69.

Answer: 69

Practice questions on Simple Equations

Q1.easy
If you take one-third of a mystery number, and then add 12 to the result, you get exactly 20. What is the mystery number?
1. A)18
2. B)21
3. C)24
4. D)27
Show answer
Answer: 24
Hint: Represent the mystery number with a variable and set up the equation step-by-step as described.
Q2.easy
Rohan is currently 7 years younger than his sister, Priya. In 5 years, Priya will be twice as old as Rohan was 5 years ago. What is Priya's current age?
1. A)29 years
2. B)31 years
3. C)33 years
4. D)35 years
Show answer
Answer: 29 years
Hint: Define variables for current ages. Then express their ages in the past and future based on the given time frames.
Q3.easy
A rectangular garden has a perimeter of 84 meters. If the length of the garden is 6 meters more than twice its width, what is the width of the garden?
1. A)12 meters
2. B)14 meters
3. C)16 meters
4. D)18 meters
Show answer
Answer: 12 meters
Hint: Recall the formula for the perimeter of a rectangle and express the length in terms of its width using a variable.
Q4.medium
The sum of the ages of a father and his son is 55 years. Five years ago, the father's age was four times the son's age. What is the current age of the son?
1. A)12
2. B)14
3. C)15
4. D)18
Show answer
Answer: 14
Hint: Define the current ages using a single variable, then express their ages five years ago to set up the equation.
Q5.medium
The sum of three consecutive even numbers is 126. What is the smallest of these numbers?
1. A)40
2. B)42
3. C)44
4. D)46
Show answer
Answer: 40
Hint: Represent consecutive even numbers using a variable, then form an equation based on their sum.
Q6.medium
In a triangle ABC, angle B is twice angle A, and angle C is 20° more than angle B. Find the measure of angle A.
1. A)28°
2. B)32°
3. C)36°
4. D)40°
Show answer
Answer: 32°
Hint: Use the angle sum property of a triangle (angles add up to 180°) and express all angles in terms of a single variable.
Q7.hard
A, B, and C are three friends. A is 4 years older than B. C is twice as old as A. Five years ago, the sum of their ages was 77. What will be C's age 3 years from now?
1. A)49
2. B)51
3. C)53
4. D)55
Show answer
Answer: 51
Hint: Start by defining B's current age with a variable. Then express A's and C's current ages in terms of that variable. Form the equation using their ages five years ago.
Q8.hard
A rectangular plot has its length twice its breadth. If the length is decreased by 5 meters and the breadth is increased by 3 meters, the area of the new rectangle is 5 square meters less than the area of the original plot. Find the original length of the plot.
1. A)10 m
2. B)15 m
3. C)20 m
4. D)25 m
Show answer
Answer: 20 m
Hint: Define the original dimensions using one variable. Calculate the original area and the new area, then set up an equation based on the given difference in areas.
Q9.hard
A two-digit number is such that the sum of its digits is 9. If the number obtained by reversing its digits is 27 more than the original number, what is the original number?
1. A)36
2. B)45
3. C)54
4. D)63
Show answer
Answer: 36
Hint: Represent the two-digit number as 10t + u, where t is the tens digit and u is the units digit. Use the given conditions to form two equations.

These are 9 of the 59 questions available for Simple Equations. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.