Year 8 Maths — Squares and square roots
Square whole numbers and find the square roots of perfect squares.
Name: ________________________
Before you start
Every whole number from zero to twenty-five sits on this line. Find 1, 4, 9, 16 and 25 on it, and look at the gaps between them.
The gaps go 3, then 5, then 7, then 9 — the perfect squares spread out as you go, which is why so few numbers have a whole square root.
1.√144 = ?
2.17² = ?
3.A square garden has an area of 169 square metres. How long is each side, in metres?
4.What is the smallest whole number, apart from zero, you can multiply 18 by to get a perfect square?
5.Work each one out, then put them in order, smallest first.
- √144
- √16
- √81
- √196
- √49
6.√0.25 = ?
7.Which of these is a perfect square?
- a) 250
- b) 150
- c) 200
- d) 196
8.13² = ?
Answer key — Year 8 Maths — Squares and square roots
- 1. 12
- 2. 289
- 3. 13
- 4. 2
- 5. 1. √16 2. √49 3. √81 4. √144 5. √196
- 6. 0.5
- 7. d) 196
- 8. 169