Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
35 questions · official format, shuffled order
1 How much water is in this jug? It is labelled every 200 mL with a mark every 100 mL.
Show worked solution
One 100 mL mark above 600 is 700 mL.
2 A bag holds 3 red, 4 blue and 5 green counters. One is taken without looking. Which colour is most likely?
Show worked solution
There are more green (5) than blue (4) or red (3), so green.
3 How many edges does a pentagonal prism have?
Show worked solution
3 × 5 = 15 edges.
4 What is 8 × 700?
Show worked solution
8 × 7 = 56, so 8 × 700 = 5 600.
5 A lesson starts at 2:40 pm and lasts 50 minutes. What time does it end?
Show worked solution
2:40 + 50 min = 3:30 pm.
6 Which of these fractions is the largest?
Show worked solution
2/3 is about 0.67 and 5/8 is 0.625, so 2/3 is the largest.
7 This graph shows how many books each year level read. How many more did Year 6 read than Year 3?
Show worked solution
75 − 30 = 45 books.
8 In this sequence each term is the sum of the two terms before it. What comes next?
Show worked solution
12 + 19 = 31.
9 A walker starts at the marked square and walks 3 squares east and 2 squares north. Which square do they reach?
Show worked solution
From B4, three east is E4 and two north is E2.
10 What is 6.3 − 2.85?
Show worked solution
6.30 − 2.85 = 3.45.
11 How many lines of symmetry does a regular octagon have?
Show worked solution
Eight sides, so 8 lines of symmetry.
12 Four tickets cost $58 altogether. What does one ticket cost?
Show worked solution
58 ÷ 4 = $14.50.
13 A rectangle has an area of 84 cm² and one side of 7 cm. How long is the other side?
Show worked solution
84 ÷ 7 = 12 cm.
14 Which number sentence matches "70 shared between 8, with 6 left over"?
Show worked solution
70 ÷ 8 = 8 remainder 6, so 70 = 8 × 8 + 6.
15 Two angles sit on a straight line. One of them is 143°. How big is the other?
Show worked solution
180 − 143 = 37°.
16 A parcel weighs 2 kg 350 g. How many grams is that?
Show worked solution
2 000 + 350 = 2 350 grams.
17 Two views of the same cube are shown. Every face carries a different letter. Which letter is opposite P?
Show worked solution
P touches Q, R, S and T, so the sixth letter, U, is opposite.
18 What is 15% of 240?
Show worked solution
24 + 12 = 36.
19 A spinner has 4 equal sections and has landed on green twice in a row. What is the chance of green on the next spin?
Show worked solution
A spinner has no memory, so it is still 1 out of 4.
20 Which of these numbers is the largest?
Show worked solution
61 009 has 61 thousands; every other option has 60.
21 The number 5 349 620 is rounded to the nearest million, and the same number to the nearest hundred thousand. What is the difference?
Show worked solution
5 300 000 − 5 000 000 = 300 000.
22 This graph shows how many books each year level read.1 Year 6 read the most.
2 Year 6 read more than twice as many as Year 3.
3 Year 5 read 60 books.
Which statements are correct?
2 Year 6 read more than twice as many as Year 3.
3 Year 5 read 60 books.
Which statements are correct?
Show worked solution
75 beats every year level (1 ✓). Twice Year 3 is 60, and 75 is more than that (2 ✓). Year 5's bar reads 60 (3 ✓). 1, 2 and 3.
23 Three friends share 4 pizzas. Ana takes 1¼, Ben takes 1½. How much is left for Cal?
Show worked solution
5 + 6 = 11 quarters used of 16, leaving 5 quarters: 1¼ pizzas.
24 Three crates are weighed two at a time: A + B = 40 kg, B + C = 52 kg, A + C = 46 kg. What is the total mass of all three?
Show worked solution
40 + 52 + 46 = 138, halved is 69 kg.
25 How many faces does a heptagonal pyramid — a pyramid on a 7-sided base — have?
Show worked solution
7 + 1 = 8 faces.
26 In the number 20 040, the value of the 2 is how many times the value of the 4?
Show worked solution
20 000 ÷ 40 = 500.
27 A flight leaves a city at 1800 on Thursday and takes 16 hours. Sydney is 15 hours ahead of that city. What is the day and time in Sydney when it lands?
Show worked solution
Thu 1800 + 16 h = Fri 1000. Then + 15 h: 14 h to Saturday 0000 and 1 more, so Saturday 0100.
28 What is the area of the shaded ring between an 8 by 8 square and the 7 by 7 square inside it?
Show worked solution
64 − 49 = 15 squares.
29 A bottle holds 1 500 mL. Sam drinks 400 mL, then 250 mL more, then tops it back up with 300 mL of water. How many millilitres are in the bottle now?
Show worked solution
1 500 − 400 − 250 = 850, and 850 + 300 = 1 150 mL.
30 A shape first looks exactly the same after a turn of 60°. What is its order of rotational symmetry?
Show worked solution
360 ÷ 60 = 6.
31 A cube net is a band of four squares with one cap already placed above the band. How many different positions are there for the last square?
Show worked solution
It can sit below any of the four columns: 4 positions.
32 A rectangle is w cm by 9 cm. An identical rectangle is joined along a 9 cm side, and the perimeter grows by 24 cm. What is w?
Show worked solution
2w = 24, so w = 12 cm.
33 In this magic square every row, column and diagonal has the same total. What goes in the shaded cell?
Show worked solution
The total is 2 + 7 + 6 = 15, and the bottom row is 4 + ? + 8 = 15, so 3.
34 Each triangle has the same value and each circle has the same value.What is the value of one circle?
Show worked solution
34 − 22 = 12, so a triangle is 12, and a circle is 22 − 12 = 10.
35 How many numbers from 1 to 100 are multiples of 5 but not multiples of 4?
Show worked solution
100 ÷ 5 = 20 multiples of 5. Multiples of 20 up to 100: 20, 40, 60, 80, 100 — five. 20 − 5 = 15.