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Test: Square roots and cube roots - Year 8 MCQ


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10 Questions MCQ Test - Test: Square roots and cube roots

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Test: Square roots and cube roots - Question 1

What is the square root of 100?

Detailed Solution for Test: Square roots and cube roots - Question 1

The square root of 100 is a number that, when multiplied by itself, equals 100. Both 10 × 10 = 100 and -10 × -10 = 100, so the square roots are 10 and -10.

Test: Square roots and cube roots - Question 2

You are given the two numbers '3 squared' and 'the square root of 100'. How do they relate to each other?

Detailed Solution for Test: Square roots and cube roots - Question 2

3 squared is 3 × 3 = 9. The square root of 100, by standard convention, is the principal root, which is 10. Comparing 9 and 10, we find 10 > 9, so the square root of 100 is the larger number.

Test: Square roots and cube roots - Question 3

You are given the two numbers '9 squared' and '81'. How do they relate to each other?

Detailed Solution for Test: Square roots and cube roots - Question 3

9 x 9 = 81.

Test: Square roots and cube roots - Question 4

Which of these numbers has a whole number as a square root?

Detailed Solution for Test: Square roots and cube roots - Question 4

6 x 6 = 36.

Test: Square roots and cube roots - Question 5
What is the quickest way to find the square root of 8?
Detailed Solution for Test: Square roots and cube roots - Question 5
Some square roots are not whole numbers and can be very difficult to work out. The square root of 8 is approximately 2.828427. We used a calculator to find out!
Test: Square roots and cube roots - Question 6

The √ sign is referred to as what?

Detailed Solution for Test: Square roots and cube roots - Question 6

The √ symbol is called the "square root" or "radical" symbol, representing the operation to find a number that, when multiplied by itself, equals the given number.

Test: Square roots and cube roots - Question 7

What is the square root of 16?

Detailed Solution for Test: Square roots and cube roots - Question 7

The square root of 16 is a number that, when multiplied by itself, equals 16. Both 4 × 4 = 16 and -4 × -4 = 16, so the square roots are 4 and -4.

Test: Square roots and cube roots - Question 8

What is the square root of 64?

Detailed Solution for Test: Square roots and cube roots - Question 8

The square root of a number is a value that, when multiplied by itself, gives the original number. Here, √64 = 8 because 8 × 8 = 64.

Test: Square roots and cube roots - Question 9

What is the cube root of 27?

Detailed Solution for Test: Square roots and cube roots - Question 9

The cube root of a number is a value that, when multiplied by itself twice, gives the original number. Here, ∛27 = 3 because 3 × 3 × 3 = 27.

Test: Square roots and cube roots - Question 10

Which number is a perfect cube?

Detailed Solution for Test: Square roots and cube roots - Question 10

A perfect cube is a number that can be expressed as the cube of an integer. Here, 27 is a perfect cube because ∛27 = 3, which is an integer.

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