Grade 8 Math — 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.
1.13² = ?
2.√0.25 = ?
3.Which of these is a perfect square?
- a) 200
- b) 196
- c) 250
- d) 150
4.√576 = ?
5.17² = ?
6.A square garden has an area of 169 square feet. How long is each side, in feet?
7.Sort each number by whether it is a perfect square.
Groups: Perfect square · Not a perfect square
- 50
- 81
- 70
- 49
- 64
- 99
8.√225 = ?
Answer key — Grade 8 Math — Squares and square roots
- 1. 169
- 2. 0.5
- 3. b) 196
- 4. 24
- 5. 289
- 6. 13
- 7. 49 → Perfect square; 64 → Perfect square; 81 → Perfect square; 50 → Not a perfect square; 70 → Not a perfect square; 99 → Not a perfect square
- 8. 15