Number
Algebra
Equations
Perimeter and Area
Rates and Ratios
Lucky Dip
100

How many days is it until Christmas?

96!

100

Expand this:

2a(3b-a)

6ab-2a^2

100

Solve 

 (3x)/4=10

x=13 1/3

100

What is the area of this shape?

24 u2

100

Find 40% of $75.

$30

100

What maths word is IDDVEI an anagram of?

DIVIDE

200

Is 1 a prime or a composite number?

Trick question! It is neither.

200

Factorise this:

8xy+12y^3

4y(2x+3y^2)

200

Solve  x^2 − 16 = 0

x=4 or -4

200

What is the diameter of a circle with area 400 m2? Give your answer to two decimal places.

22.57 m

200

If a dozen donuts cost $8, how many donuts can I buy for $22?

33 donuts

200

Train game!

7932

7+9-3×2

300

What is the cube root of 4913?

17

300

Expand 

 (x+2)(x+3)

x^2+5x+6

300

Solve  (c+3)/14=4/7

c = 5

300

What is the perimeter of the blue region? Give your answer as an exact value. 

8/3pi+16

300

On a map, 4 cm represents 2 km. How far apart are two villages if they are 15 cm apart on the map?

7.5 km

300

The average of 

 4, x, 5, 9, 9, 11 is 7. 

What is  x ?

4

400

Express 360 as a product of prime factors.

2^3 × 3^2 × 5

400

Simplify 

 (56abc)/(35c^2)

(8ab)/(5c)

400

Solve  2(3z+4)+5=20

z=1 1/6

400

What is the area of this shape? Round your answer to the nearest whole number. 

295 u2

400

A cyclist completes a 15 km long track. She cycles at an average speed of 12 km/h. How long does it take her to get to the finish?

1.25 hours

400

Train game!

1345

1^3+4+5

500

What is the lowest common multiple of 72, 126 and 168?

504

500

Expand  (2-x)(2+x)

4 - x^2

500

Find the value of  x:

(2+x)/3=3(x-2)

2 1/2

500

The diagonals of a square are...

(You must give TWO properties.)

Equal, perpendicular, bisecting each other.

500

What is the simplest form of the ratio 51:34:68?

3:2:4

500

Express as a single fraction: 

(2xyz^2)/(3x)*(6x^2yz)/(5z^3)

(4x^2y^2)/5

600

What is the next number in this sequence?

0, 1, 1, 2, 3, 5, 8, 13, 21, ...

34

600

Expand and fully simplify:

(a+1)^2+(a+2)^2+(a+3)^2

3 a^2 + 12 a + 14

600

Solve 

 (2m)/5-m/4=21

m=140

600

What is the area of this shape?

313 cm2

600

What is 36 km/h in m/s?

10 m/s

600

Train game! 9182

9+(1^8)^2