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Algebra

100

Write an expression for the sum of a and 8 

a + 8

200

If x=4 

find x+6 

4 + 6

=10 

300

Simplify: 

4x+3+2x

6x + 3

400

A movie ticket costs ttt dollars. 

Write an expression for 2 tickets and a $5 snack.

2t + 5

500

A number is multiplied by 4, then 3 is added. Write an expression.

4x +3

Ratios

100

Simplify the ratio 4:8

1 : 2

200

There are 2 red counters and 3 blue counters. What is the ratio of red to blue?

2 : 3

300

A ratio is 3:4 

How many total parts are there?

3 + 4 

= 7 total parts 

400

The ratio of boys to girls in a class is 5:7 There are 36 students altogether. How many girls are there?

21 girls 

500

Jack and Leo share money in the ratio 3:8. Leo gets $45 more than Jack. How much money do they share altogether?

$99 in total 

Square Numbers

100

evaluate 3² 

3 x 3 

= 9

200

What is 12^{2 ?}

144

300

What square number comes after 36?

8 ^{2 =} 64

400

A number squared equals 169. What is the number?

13

because 13²=169

500

A square has an area of 196 cm². What is the length of one side?

14 cm, because 14²=196

Square Roots

100

What is the square root of 144 ?

12

200

Which number has a square root of 18?

324 

because 18 x 18 or 18^{2 =} 324

300

Find the square root of 144 plus the square root of 81 ?

12 + 9

= 21

400

A square garden has an area of 256 m^2. 

What is the length of one side of the garden ?

= square root of 256 

= 16 m 

500

A square has an area of 361 cm²

What is the perimeter of the square?

= square root of 361

= 19 cm for one side 

= 19 x 4 

= 76 cm 

Exponents

100

Write 6×6×6×6 using index notation ?

6⁴

200

Calculate 2⁵ + 3² 

= 32+9

=41

300

Which is larger: 

5³ or 3⁵ 

3⁵ because 5³=125 and 3⁵ = 243

400

Calculate 4² x 2³ 

= 16×8

=128

500

Calculate: 2⁴×3²+5²

=16×9+25

=144+25

=169.