Explore Exams
Login Signup
Sign in Open App
IGCSE Class 8  >  Class 8 Test  >  Year 8 Mathematics (Cambridge)  >  Test: Indices - Class 8 MCQ

Indices - Free MCQ Practice Test with solutions, Class 8 Year 8 Mathematics


MCQ Practice Test & Solutions: Test: Indices (10 Questions)

You can prepare effectively for Class 8 Year 8 Mathematics IGCSE (Cambridge) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Indices". These 10 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Indices - Question 1
Save

How many days are there in 29 x 33 x 54 seconds?

Detailed Solution: Question 1

Calculate total seconds: 29 × 33 × 54 = 512 × 27 × 625 = 8,640,000 seconds.

Convert to days: There are 86,400 seconds in a day (60 × 60 × 24 = 25 × 32 × 51).

Divide: 8,640,000 ÷ 86,400 = 100 days.

Test: Indices - Question 2
Save

A pond plant doubles its surface area every four days. If it covered an area of 20 cm2 on 17th June, what is its area on 15th July?

Detailed Solution: Question 2

Calculate days from 17th June to 15th July: June 17–30 = 13 days; July 1–15 = 15 days; Total = 28 days.

Doubling periods: 28 ÷ 4 = 7.

Area after 7 doublings: 20 × 27 = 20 × 128 = 2,560 cm2.

Clear all your doubts with EduRev
Test: Indices - Question 3
Save

What is 0.24 as a power of 5?

Detailed Solution: Question 3

Express 0.2 as a fraction: 0.2 = 1/5.

Calculate (0.2)4 = (1/5)4 = 14/54 = 1/54 = 5-4.

Test: Indices - Question 4
Save

John started a savings account with a deposit of £500 at 1.5% compound interest per year. How much (to the nearest 1p) is the account worth after three years?

Detailed Solution: Question 4

Use compound interest formula: A = P × (1 + r)n.

Here, P = 500, r = 0.015, n = 3.

A = 500 × (1.015)3 ≈ 500 × 1.045678625 ≈ 522.8393125.

To nearest 1p: £522.84.

Test: Indices - Question 5
Save

What index number must follow 3 to give 6,561?

Detailed Solution: Question 5

We need 3x = 6,561.

Calculate powers of 3: 38 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561.

Thus, the index is 8.

Test: Indices - Question 6
Save

What is 23?

Detailed Solution: Question 6

23 means 2 multiplied by itself 3 times, which equals 8.

Test: Indices - Question 7
Save

What is the result of 24 × 83?

Detailed Solution: Question 7

First calculate 83 = 8 × 8 × 8 = 512.
Then multiply by 24: 24 × 512 = 12,288.

Test: Indices - Question 8
Save

What is 52 × 25-2 × 5-2?

Detailed Solution: Question 8

Express 25 as 52, so 25-2 = (52)-2 = 5-4.

Then, 52 × 25-2 × 5-2 = 52 × 5-4 × 5-2 = 52-4-2 = 5-4.

Calculate 5-4 = 1/54 = 1/625 = 0.04.

Test: Indices - Question 9
Save

How many litres will fill a cube of side length 25 cm?

Detailed Solution: Question 9

Volume of cube: 253 = (52)3 = 56 = 15,625 cm3.

Convert to litres: 15,625 ÷ 1,000 = 15.625 litres (since 1,000 cm3 = 1 litre).

Test: Indices - Question 10
Save

Which of the following expressions is equivalent to 43 × 45?

Detailed Solution: Question 10

When multiplying powers with the same base, you add the exponents. Therefore,43 × 45 = 43+5 = 48.

42 videos|63 docs|24 tests
Join Course
Information about Test: Indices Page
In this test you can find the Exam questions for Test: Indices solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Indices, EduRev gives you an ample number of Online tests for practice
Download as PDF
;

About this Class 8 Practice Test

This test contains 10 MCQs on Indices with detailed solutions for each question. It is part of the Year 8 Mathematics IGCSE (Cambridge) course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more Class 8 Study Resources

If you found this Indices MCQ Test helpful, you can further enhance your Class 8 preparation with in-depth courses on EduRev, for all the subjects and topics available in Year 8 Mathematics IGCSE (Cambridge) course. The course offers:
  • Video Lectures: covering all the topics of Year 8 Mathematics IGCSE (Cambridge)
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for Class 8 preparation
  • MCQ Test: variety of questions as per the pattern of Class 8 exam
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup