Powers And Roots

1. Which has an index of 2?

3³
2⁵
4²

2. Which can be described as 'two to the power of five'?

5⁵
5²
2⁵

3. Which has a value of 32?

3³
2⁵
4²

4. Which has the smallest value?

3³
2⁵
4²

5. Use your calculator to find the value of 3⁹.

19683
15462
21569

6. What is the square root of 36?

9
6
10

7. What is the cube root of 64?

4
2
8

8. 2⁵ x 2² is the same as

2³
2⁷
2⁵²

9. 2⁸ divided by 2⁴ is the same as

2²
2⁴
2¹²

10. Which of the following has the largest value?

5² x 5²
5³ x 5²
5¹⁰ / 5²

Rounding

Today's quiz on Rounding

1. Bert, Alice and Sally enter a 'guess the weight of the cake' competition. The actual weight of the cake is 800g. Who is closest to the correct answer?

Bert guesses 755g
Alice guesses 824g
Sally guesses 770g

2. Round 47.53m to the nearest ten metres

45
40
50

3. Round 5734.7 to the nearest whole number

5700
5735
5740

4. Anne buys a book for $3.99 and a folder for $1.99. Estimate how much she pays in total.

$5
$6
$7

5. Anita is painting her bedroom. The area of the wall is 29m squared, and each can of paint will cover an area of about 11m squared. Estimate how many cans of paint Anita will need to buy.

3 cans
1 can
5 cans

6. Gary wants to estimate the answer for 689 x 69. He uses the approximation 700 x 70. Will his approximation be higher or lower than the actual answer?

Higher
Lower
The same

7. Round 3.643 to 2 decimal places (d.p.)

3.6
3.64
3.7