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 How many millilitres of water are in this jug?
Show worked solution
The marks go up in 50s, and the water is at the sixth mark: 300 mL.
2 A bag holds 3 red, 4 blue and 5 green counters. One counter is taken without looking. Which colour is most likely?
Show worked solution
There are more green counters (5) than blue (4) or red (3), so green is most likely.
3 How many faces does a triangular prism have?
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2 triangular ends and 3 rectangles: 5 faces.
4 What is 7 × 60?
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7 × 6 = 42, so 7 × 60 = 420.
5 A lesson starts at 1:50 pm and lasts 55 minutes. What time does it end?
Show worked solution
1:50 + 10 min = 2:00, then 45 min more: 2:45 pm.
6 Which of these fractions is the largest?
Show worked solution
Three quarters is 0.75; two thirds is about 0.67, a third about 0.33 and a quarter 0.25.
7 The graph shows how far four children ran. How much further did Mia run than Sam?
Show worked solution
Mia ran 8 km and Sam 3 km: 8 − 3 = 5 km.
8 What is the next number in this pattern?
Show worked solution
Double and add 1 each time: 31 × 2 + 1 = 63.
9 The treasure is 3 squares east and 2 squares south of the cross. Which square is it in?
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From B2, three east is E2 and two south is E4.
10 What is 4.7 + 0.35?
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4.70 + 0.35 = 5.05.
11 How many lines of symmetry does this shape have?
Show worked solution
A regular pentagon has 5 lines of symmetry, one through each corner.
12 Three tickets cost $37.50 altogether. What does one ticket cost?
Show worked solution
$37.50 ÷ 3 = $12.50.
13 A rectangle has an area of 24 square centimetres and one side is 6 cm. How long is the other side?
Show worked solution
24 ÷ 6 = 4 cm.
14 Which number sentence matches this story? "Kim had 45 stickers, gave some away and had 28 left."
Show worked solution
Starting at 45 and taking some away to leave 28: 45 − ☐ = 28.
15 What kind of angle is shown?
Show worked solution
145° is between 90° and 180°, so it is obtuse.
16 A parcel weighs 1 kg 750 g. How many grams is that?
Show worked solution
1 000 + 750 = 1 750 grams.
17 Two views of the same cube are shown. Which number is opposite the 2?
Show worked solution
The 2 touches 1, 3, 5 and 6 across the two views, leaving 4 on the face opposite.
18 What is 25% of 80?
Show worked solution
80 ÷ 4 = 20.
19 Which activity lasts the longest?
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Swimming 50 min, art 65 min, music 40 min, drama 45 min.
20 Which number is the largest?
Show worked solution
All four start 40, then compare the rest: 700 beats 099, 070 and 007, so 40 700.
21 The spinner is spun once. What is the chance of it stopping on a shaded section?
Show worked solution
2 of the 4 equal sections are shaded, which is one half.
22 There are 45 children in a choir and two thirds of them are girls. How many girls are in the choir?
Show worked solution
45 ÷ 3 = 15, so two thirds is 2 × 15 = 30 girls.
23 Which of these is true of every rectangle?
Show worked solution
Every rectangle has Opposite sides are equal and all angles are right angles. Only a square has all four sides equal.
24 A rope 7 metres long is cut into pieces 80 cm long. How many whole pieces can be cut?
Show worked solution
700 ÷ 80 = 8 remainder 60, so 8 whole pieces, with 60 cm left over.
25 Which fraction is the same as the shaded part of this strip?
Show worked solution
6 out of 8 is the same as three quarters.
26 The pie graph shows how 600 children travel to school. How many more come by bus than walk?
Show worked solution
Bus is half, 300; walking is a quarter, 150. The difference is 150.
27 A shop sells pens in boxes of 12. It sells 15 boxes on Monday and 9 boxes on Tuesday. How many pens is that altogether?
Show worked solution
15 + 9 = 24 boxes, and 24 × 12 = 288 pens.
28 What is 3 408 + 2 796?
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3 408 + 2 796 = 6 204.
29 These digit cards are used once each to make a 3-digit number. What is the smallest odd number that can be made?
Show worked solution
The 7 must go in the ones place, then the smaller of the rest goes first: 467.
30 A car uses 8 litres of petrol to travel 96 km. How many kilometres does it travel on one litre?
Show worked solution
96 ÷ 8 = 12 km per litre.
31 250 children are going on a trip in buses that hold 40 each. How many buses are needed?
Show worked solution
250 ÷ 40 = 6 remainder 10, and those 10 children need a bus: 7.
32 This rectangle has a perimeter of 46 cm and one side is 15 cm. How many centimetres is the shorter side?
Show worked solution
46 − 30 = 16 for the two short sides, so each is 8 cm.
33 A number is divided by 6 and then 7.5 is added. The result is 12.5. What was the number?
Show worked solution
12.5 − 7.5 = 5, and 5 × 6 = 30.
34 How many small cubes are needed to build this solid?
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4 cubes, then 4, then 2 on top: 10 cubes.
35 Opposite faces on a die add to 7. A die shows 2 on top and 3 at the front. What number is on the bottom?
Show worked solution
7 − 2 = 5.
36 What is 15% of 200?
Show worked solution
20 + 10 = 30.
37 A train leaves at 10:50 pm and the journey takes 4 hours 25 minutes. At what time does it arrive? Write the answer in 24-hour time as four digits, like 0930.
Show worked solution
10:50 pm + 4 h 25 min = 3:15 am, which is 0315.
38 Three angles meet at a point. Two of them are 150° and 120°. How many degrees is the third?
Show worked solution
360 − 150 − 120 = 90°.
39 A box is 25 cm long, 10 cm wide and 8 cm high. How many millilitres does it hold?
Show worked solution
25 × 10 × 8 = 2 000 cm3, so it holds 2 000 mL.
40 The 100-square has 38 squares shaded. How many more squares must be shaded to make 60 shaded altogether?
Show worked solution
60 − 38 = 22 more squares.