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.
40 questions · official format, shuffled order
1 What is 6 483 rounded to the nearest thousand?
Show worked solution
483 is less than 500, so 6 483 rounds down to 6 000.
2 Which 3D object has 5 faces, 4 of them triangles?
Show worked solution
A square pyramid has a square base and 4 triangular faces: 5 in all.
3 In the number 42.836, which digit is in the hundredths place?
Show worked solution
8 is tenths, 3 is hundredths and 6 is thousandths.
4 A walker starts at the marked square and walks 2 squares east and 1 square north. Which square do they reach?
Show worked solution
From B3, two squares east is D3, and one north is D2.
5 How many days are there from 14 May to 3 June?
Show worked solution
31 − 14 = 17 days left in May, plus 3 in June: 20 days.
6 Each bag holds the counters shown. One counter is taken from a bag without looking. Which bag gives the best chance of a shaded counter?
Show worked solution
P is 3 of 4, Q is 4 of 5 and R is 2 of 6. Four fifths is the biggest.
7 What number goes in the box to make this true? 7 × ☐ + 6 = 62
Show worked solution
62 − 6 = 56, and 56 ÷ 7 = 8.
8 A farmer packs 3 500 apples into trays of 24. How many trays are completely full?
Show worked solution
3 500 ÷ 24 = 145 remainder 20, so 145 trays are full.
9 Which of these is the heaviest?
Show worked solution
2 kg 400 g is 2 400 g, more than 2 300 g, 1 900 g or 950 g.
10 Which arrow is closest to three quarters?
Show worked solution
Three quarters sits at 0.75, and Q at about 0.72 is nearest.
11 This net is folded to make a cube. Which face ends up opposite the shaded one?
Show worked solution
The shaded square and P, Q and R form a band of four. Going round, the shaded face and Q are two apart, so they end up opposite.
12 A book costs $11.45. How much change is there from $20?
Show worked solution
$20 − $11.45 = $8.55.
13 What is the area of this shape, in square units?
Show worked solution
6 × 5 = 30 squares, less the 3 × 2 = 6 cut away: 24 square units.
14 Which number is closest to 0.4?
Show worked solution
0.38 is 0.02 away; 0.5 is 0.1 away and 0.04 is 0.36 away.
15 A cyclist rides north, then turns to ride east. What kind of turn is that?
Show worked solution
North to east is a quarter turn, which is a right angle.
16 The table shows the sports chosen by a class. Which sport was chosen by the most children?
Show worked solution
Hockey has 11, more than soccer's 9, netball's 7 or tennis's 4.
17 Which of these shapes looks exactly the same after a quarter turn?
Show worked solution
A quarter turn lands A, the square, exactly on itself. A rectangle needs a half turn to match, and this triangle needs a full one.
18 Which list is in order from smallest to largest?
Show worked solution
0.25, 0.7, 0.8 — two tenths, then seven, then eight.
19 You must be at the station by 9:15 am. Which is the latest train you can catch from Hill Road?
Show worked solution
Only the 8:22 arrives before 9:15 — it gets in at 8:51. The 8:47 arrives at 9:16, a minute too late.
20 Two views of the same cube are shown. Every face has a different letter. Which letter is opposite the R?
Show worked solution
R touches S, T, U and V across the two views, so the sixth letter, W, is opposite it.
21 How many metres are there in 3.5 kilometres?
Show worked solution
3.5 × 1 000 = 3 500 metres.
22 How many small triangles are there altogether in this figure?
Show worked solution
Three point upwards and one points downwards in the middle: 4 small triangles.
23 Which shape has four equal sides but no right angles?
Show worked solution
C is a rhombus: four equal sides, leaning over, so no right angles. A is a square, B a rectangle, D a kite with unequal sides.
24 Two fifths of this strip is shaded. Which of these is the same amount?
Show worked solution
Two fifths is the same as 4 tenths.
25 What is the perimeter of this shape, in units?
Show worked solution
The L-shape is 6 across and 5 down with a 3 by 2 bite out of one corner, and the bite adds no extra length: 22 units.
26 The graph shows how many goals four teams scored. How many goals were scored altogether?
Show worked solution
6 + 9 + 4 + 7 = 26 goals.
27 In this pictograph each symbol stands for 4 books. How many books did Year 5 read?
Show worked solution
6 symbols × 4 books = 24 books.
28 What is 5 060 − 2 385?
Show worked solution
5 060 − 2 385 = 2 675.
29 A rectangle is 14 cm long and 6 cm wide. What is its area, in square centimetres?
Show worked solution
14 × 6 = 84 square centimetres.
30 A recipe for 4 people uses 300 g of flour. How many grams of flour are needed for 10 people?
Show worked solution
300 ÷ 4 = 75 g each, so 10 people need 75 × 10 = 750 g.
31 A sports hall holds 18 people on each row of seats. How many rows are needed to seat 200 people?
Show worked solution
200 ÷ 18 = 11 remainder 2, and the last 2 people need a row: 12.
32 This rectangle has a perimeter of 38 cm. How many centimetres is the shorter side?
Show worked solution
38 − 24 = 14 for the two short sides, so each is 7 cm.
33 A number is multiplied by 7 and then 15 is taken off. The result is 41. What was the number?
Show worked solution
41 + 15 = 56, and 56 ÷ 7 = 8.
34 How many small cubes are needed to build this solid?
Show worked solution
9 cubes in the bottom layer and 3 on top: 12 cubes.
35 Opposite faces on a die add to 7. Three dice show 1, 4 and 5 on top. What is the total of the three faces underneath?
Show worked solution
6 + 3 + 2 = 11.
36 What is 0.6 of 250?
Show worked solution
250 ÷ 10 = 25, and 6 × 25 = 150.
37 A train leaves at 11:40 pm and the journey takes 3 hours 35 minutes. At what time does it arrive? Write the answer in 24-hour time as four digits, like 0930.
Show worked solution
11:40 pm + 20 min = midnight, then 3 h 15 min gives 0315.
38 Two angles sit on a straight line. One of them is 115°. How many degrees is the other?
Show worked solution
180 − 115 = 65°.
39 A tank is 40 cm long, 20 cm wide and 25 cm high. How many litres does it hold?
Show worked solution
40 × 20 × 25 = 20 000 cm3 = 20 litres.
40 The 100-square has 45 squares shaded. How many squares are NOT shaded?
Show worked solution
100 − 45 = 55.