 How good are you at roots? That is, mathematical roots not tree roots!

# Numbers - Roots

This Math quiz is called 'Numbers - Roots' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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In the study of Math, a number multiplied by itself creates its own square. The original number is called the square root of the new number. Finding square and cube roots are useful calculations with the same priority as Index in the BIDMAS order.

1.
A cube of volume 1,000 cm3 has side length .......
1 cm
10 cm
100 cm
1 m
∛1,000 = 10
2.
The square root of 425 lies between .......
19 and 20
20 and 21
21 and 22
23 and 24
202 = 400; 212 = 441; √425 = 20.61552813.......
3.
A square of area 169 cm2 has side length .......
43 cm
33 cm
23 cm
13 cm
√169 = 13
4.
What is the square root of 54?
15
25
125
250
To find the square root of a power number you divide the index by 2. √(54) = 52
5.
The square with the same area as a rectangle measuring 9 cm by 16 cm has side length .......
6 cm
9 cm
12 cm
15 cm
9 x 16 = 144; √ 144 = 12
6.
What is the total surface area of a cube which has a volume of 729 cm3?
54 cm2
81 cm2
360 cm2
486 cm2
∛729 = 9 so each square face has an area of 81 cm2. A cube has six square faces; 6 x 81 = 486
7.
What is the cube root of 79?
49
147
343
560
To find the cube root of a power number you divide the index by 3. ∛(79) = 73
8.
Which of these is not a way of writing the square root of 625?
25
52
√125
6251⁄5
The square root of 125 is 11.18 to two decimal places.
9.
The cube root of 216 is .......
6
16
26
36
Since 162 = 256, 163 must be bigger and 263 or 363 will be bigger still, so 6 is the only sensible answer
10.
What is the square root of 64 x 144?
96
72
60
48
The square root of a product is the product of the square roots.√64 x √144 = 8 x 12
Author:  Frank Evans