GCD/LCM
Volume
Patterns & Sequences
Shapes
Mystery
100

What is the GCD of 75, 45 and 60?

15

100

What is the square root of 324?

18

100

What's the 5th number in this pattern?

18, 27, 36, ...

54

100

What is a seven-sided polygon called?

Heptagon (or Septagon)

100

Evaluate this algebraic expression, if x = 15:

6x + 10 - 2x + 5

75

300

A man smiles at his beautiful wife every 3 seconds while the wife smiles back at him every 6 seconds. When will both husband and wife smile at each other at the same time?

After 6 seconds

300

A rectangular tank of 40 cm by 30 cm by 20 cm is filled with water from a tap that flows at a rate of 4 litres per minute. How long will it take to be half full?

3 minutes

300

What is the nth term formula for this sequence?

14, 16, 18, ...

2n + 12

300

Which solid shape would have 6 faces, 12 edges and 8 vertices?

Cube or Cuboid

300

I have four sides. My opposite sides are parallel and equal, but they are not all the same length. I don't have any right angles.

What shape am I?

A parallelogram

400

How many prime numbers are there from 0 to 120?

30
400

Volume of a cuboid is 261 cm3. Height is 3 cm. Breadth is 6 cm. Find the length.

14.5 cm

400

What is the nth term formula for this sequence?

-7, -13, -19, ...


-6n - 1

400

I have 2 faces and one vertex. Which solid shape am I?

Cone

400

Lisa bought 5 books from a bookstore. The average price of 2 of the books is $5.20. The average price of the rest of the books is $4.80. Find the total amount of money Lisa paid for the 5 books.

Lisa paid $24.80

600

3 pigs entered a race around a track. Piggly takes 6 minutes to run one lap. Piglet takes 3 minutes to run one lap, and it takes Wiggly 5 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?

30 minutes

600

What is the cube root of 50,653?

37

600

Find the 25th term in this sequence.

5, 2, -1, -4, ...


-3n + 8 = -67

600

Come up to the board and draw the net of a square-based pyramid.

All points for accurate net.

600

You have 7 paintings you would like to display in a row on your wall. How many different ways can you order the paintings?

5040 different ways

800

A businessman goes to Singapore every 18 days, for one day only, and another businessman goes every 24 days, also for one day only. Tomorrow, both men are in Singapore. What actual date will both businessmen be again in Singapore on the same day?

May 24th 2021

800

A fish tank is 2/3 full of water. It's base area is 500 cm2. Find the height of the tank if there is 8 litres of water in it.

24 cm

800

Find the 555th for this sequence.

-13, -21, -29, ...


-8n - 5 = -4445

800

What is the proper name for a triangular pyramid?

Tetrahedron

800

The speed of light is approximately 300,000 km/s. How many kilometres is Mars from the Sun, if it takes light 12 minutes and 40 seconds to reach it?

228,000,000 km