Algebra
Measurement
Percentages, rates and ratios
Mixed Bag
Probability
Indices
100

Simplify


2x + 3y + 4x + y

6x + 4y

100

Convert 10.2m into cm

1020 cm

100

Find 10% of 450

45

100

Simplify the following expression.

(a^3)^5

a^15

100

What is the probability of rolling a '5' on a fair six-sided die?

1/6

100

Simplify:

a4 x a5

a9
200

Expand


5 (k - 3)

5k - 15

200

84 cm2

200

In the last test, a student score 16 out of 40.

What is their score as a percentage?

40%

200

Solve:

6 + 8 x -2 - 3

-13

200

What is the probability of randomly selecting a vowel if one letter is selected from the letters in the word:

GRADUATION

5/10

200

Simplify

(3a)^2

9a2

300

Simplify

6x2 - 7x - 2x2 - 3x

4x2 - 10x
300

Find the area

140 m2

300

Increase $500 by 18%

$590

300

Find the value of x.


10 km

300

A group of people are surveyed about the type of pets they own.

What is the probability that a randomly selected person owns a pet?

22/29

300

Simplify


(8a^2b^3)/(4ab)

2ab2

400

Expand and simplify


(x + 4)(x + 6)

x2 + 10x + 24

400

Find the area

226.98 cm2
400

Alice, Ben, and Carina share $225 into the ratio 2 : 3 : 4.

How much did Ben recieve?

$75

400

Solve the following equation to find the value of x.

12x - 5 = 4x + 11

x = 2
400

A group of people are surveyed about the type of pets they own.

What is the probability that a randomly selected person owns a cat, given that they own a dog?

10/19

400

Write with positive index:

a^-2

1/(a^2)

500

Expand and simplify


5(x + 3) - 2(x - 4)

3x + 23

500

Find the volume

8^2 * pi * 30

500

A train is travelling at an average speed of 180 km/h.

If the journey from Elftown to Candylane takes 1 hour and 25 minutes, how far apart are the two places?

255 km

500

What is the value of sin 30?

1/2 or 0.5

500

30 people are surveyed.

8 people do not own a pet.

There are 12 dog owners and 13 cat owners.

How many people own BOTH dogs and cats?

3

500

(a^4b^2c^3)/(a^6bc^7)

Simplify the following.  Write your answer as a positive index.


(b)/(a^2c^4)