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 What number is 4 thousands less than 61382?
Show worked solution
61382 − 4000 = 57382. Only the thousands digit changes: 61 thousands becomes 57 thousands.
2 The clock shows the time a film started. The film lasted 1 hour 50 minutes.At what time did the film finish?
Show worked solution
The clock shows 3:25. Add 1 hour → 4:25, then 50 minutes → 5:15.
3 Round every one of these numbers to the nearest hundred. Which one moves the furthest?
Show worked solution
Changes: 1250 → 1300 (50), 349 → 300 (49), 451 → 500 (49), 705 → 700 (5), 995 → 1000 (5). 1250 moves the most.
4 Part of a number line is drawn below; the curved arrow marks a single jump.Starting from 3, what value is reached after 5 of these jumps?
Show worked solution
One jump is ⅔ (two thirds-gaps). 5 jumps = 10 thirds = 3⅓. 3 + 3⅓ = 6⅓.
5 Ollie makes a necklace by threading beads in a repeating pattern: red, red, blue, green, red, red, blue, green, …What colour is the 30th bead?
Show worked solution
The pattern repeats every 4 beads. 30 = 7 × 4 + 2, so the 30th bead is the 2nd of a group: red.
6 Tara has $50. She buys 3 books that cost $12.50 each. How much change does she get?
Show worked solution
3 × $12.50 = $37.50. $50 − $37.50 = $12.50.
7 Two thermometers were read at the same moment, one outside a hall.By how many degrees is the inside reading higher?
Show worked solution
Labels every 10 with five gaps between, so each small tick is 2 °C. Outside: 4 ticks above 0 = 8 °C. Inside: 1 tick above 20 = 22 °C. Difference 14 °C.
8 A number pattern follows one rule: double the number before, then add 3. It begins with 2. Which is the fifth term?
Show worked solution
2 → 7 → 17 → 37 → 77.
9 Three quadrilaterals are shown.Which of the numbered statements are true?
1 All squares are rhombuses.
2 All parallelograms are rectangles.
3 All rectangles are parallelograms.
1 All squares are rhombuses.
2 All parallelograms are rectangles.
3 All rectangles are parallelograms.
Show worked solution
A square has four equal sides, so it is a rhombus (1 ✓). A rectangle has two pairs of parallel sides, so it is a parallelogram (3 ✓). A parallelogram need not have right angles (2 ✗).
10 Kai has a box of 15 discs: 6 red, 4 blue, 3 green and 2 yellow. He picks one disc without looking.1 He is more likely to pick a red disc than a blue disc.
2 He is equally likely to pick a red disc or a disc that is not red.
3 It is impossible for him to pick a white disc.
Which statement(s) is/are correct?
2 He is equally likely to pick a red disc or a disc that is not red.
3 It is impossible for him to pick a white disc.
Which statement(s) is/are correct?
Show worked solution
6 red vs 4 blue (1 ✓). Red 6, not red 9 — not equal (2 ✗). No white discs (3 ✓).
11 Hana thinks of a number. She subtracts 7, then multiplies the result by 4, and gets 60. What do you get if you add together the digits of her starting number?
Show worked solution
Undo: 60 ÷ 4 = 15, then 15 + 7 = 22. Digits 2 + 2 = 4.
12 Birrani is measuring water in a container with an unusual scale.How much water is in the container?
Show worked solution
Four gaps between 0 and 60 mL, so each gap is 15 mL. The water is at the third mark: 45 mL.
13 Here is part of a bus timetable.
Zara lives in Elm and takes the 8:20 am bus to Oak. She takes the bus home that arrives in Elm at 4:25 pm. How long does she spend in Oak?
| Elm to Oak | ||
| Elm | 8:20 am | 10:05 am |
| Oak | 9:05 am | 10:50 am |
| Oak to Elm | ||
| Oak | 2:15 pm | 3:40 pm |
| Elm | 3:00 pm | 4:25 pm |
Show worked solution
She arrives in Oak at 9:05 am and leaves on the 3:40 pm bus. 9:05 → 3:05 is 6 hours; → 3:40 is 35 minutes more: 6 h 35 min.
14 Rachael builds this object from 7 identical cubes glued together, and can turn it over to inspect every side.How many of the cubes' faces are hidden where cubes are glued together?
Show worked solution
Every glued join hides 2 faces. Joins: 3 along the bottom row, 2 where the second layer sits on the first, 1 between the two second-layer cubes, 1 under the top cube — 7 joins, 14 hidden faces.
15 Which of these fractions is nearest to 1?
Show worked solution
Distances from 1: ¾ → ¼, 1¼ → ¼, 1⅓ → ⅓, ⅗ → ⅖, ⅚ → ⅙. The smallest is ⅙.
16 A café's target is 200 drinks for the day; the graph shows what it has sold so far.How many more drinks does it need to sell to hit the target?
Show worked solution
Tea 25, coffee 45, juice 35, water 15: total 120. 200 − 120 = 80.
17 The map shows two front doors. A ruler in millimetres is laid between them.How far apart are the doors in real life?
Show worked solution
64 mm = 6.4 cm. 6.4 × 50 m = 320 m (6 × 50 = 300, plus 0.4 × 50 = 20).
18 Ali and Ben are collecting stickers. Altogether they have 184, but Ali has 26 more than Ben. How many stickers does Ben have?
Show worked solution
Take away the extra 26: 184 − 26 = 158, shared equally is 79 each. Ben has 79 (Ali has 105).
19 This F-shape is made of squares.How will it look after a quarter turn ANTICLOCKWISE?
Show worked solution
Anticlockwise sends the top bar to the LEFT, and the tall shape becomes wide. B is the clockwise turn, C the half turn, D the mirror image, E the original.
20 A rectangle of card is 12 cm long and 5 cm wide. A square of side 5 cm is cut off one end.What is the perimeter of the piece that is left?
Show worked solution
The piece left is 7 cm by 5 cm. Perimeter 7 + 5 + 7 + 5 = 24 cm.
21 These scales are tipping, and Amber wants to make them level.Three ideas are suggested.
1 Put 8 kg more on the left pan.
2 Put 10 kg more on the left pan and 2 kg more on the right.
3 Put 4 kg more on each pan.
Which idea(s) would level the scales?
1 Put 8 kg more on the left pan.
2 Put 10 kg more on the left pan and 2 kg more on the right.
3 Put 4 kg more on each pan.
Which idea(s) would level the scales?
Show worked solution
Left 14 + 9 = 23, right 31, gap 8. Method 1: 31 vs 31 ✓. Method 2: 33 vs 33 ✓ (10 − 2 = 8). Method 3 keeps the gap ✗.
22 A printer prints 24 pages every 3 minutes. How many pages does it print in 8 minutes?
Show worked solution
24 ÷ 3 = 8 pages a minute. 8 × 8 = 64 pages.
23 The picture graph shows the books four students read this term.How many more books did Ali read than Zoe?
Show worked solution
Each circle is 4 books. Ali: 4 circles = 16. Zoe: 1½ circles = 6. 16 − 6 = 10.
24 6 August 2026 is a Thursday. What day of the week is 30 August 2026?
Show worked solution
30 − 6 = 24 days later = 3 weeks and 3 days. Thursday + 3 days = Sunday.
25 Each grid square is 1 cm². What is the area of the shaded shape?
Show worked solution
6 whole squares and 4 half squares (2 more): 8 cm².
26 Which one of these numbers is between 2.3 and 2.4?
Show worked solution
2.3 = 2.30 and 2.4 = 2.40. Only 2.35 lies between them.
27 This spinner has 8 equal sections.Ana spins it 40 times. About how many times should she expect it to land on yellow?
Show worked solution
Yellow is 1 of 8 equal sections. 40 ÷ 8 = 5.
28 Twenty-six 300 g jars are shipped in boxes, and no box may weigh more than 2 kg. What is the fewest boxes that will do?
Show worked solution
2000 ÷ 300 → 6 jars per box (1800 g). 26 ÷ 6 = 4 remainder 2, so 5 boxes.
29 Three squares are shaded. The finished pattern must be symmetrical about the dashed line.Which three squares on the right need shading?
Show worked solution
Each shaded square reflects to the same row, the same distance past the line: R3 → S3, Q2 → T2, P4 → U4.
30 A carton holds 24 eggs. A shop has 17 full cartons and one carton with 9 eggs in it. How many eggs does the shop have?
Show worked solution
17 × 24 = 408. 408 + 9 = 417.
31 Jake owns the three blocks shown (lengths in cm, drawing not to scale).He piles the three blocks into one tower, standing each block whichever way up he chooses. What is the greatest possible height of the tower?
Show worked solution
Stand each block on its smallest face: longest edges 7, 5 and 6. 7 + 5 + 6 = 18 cm.
32 Here are the first three patterns in a sequence made of squares.How many squares are in pattern 8?
Show worked solution
Pattern 1: 4, pattern 2: 7, pattern 3: 10 — three more each time, or 3 × n + 1. Pattern 8: 3 × 8 + 1 = 25.
33 Cho's savings jar starts the week empty. Her running total is $8; when Monday finishes, $26 when Wednesday finishes and $60 when Friday finishes. Her Tuesday, Wednesday and Friday deposits are all equal. What did she deposit on Thursday?
Show worked solution
Tuesday + Wednesday = 26 − 8 = $18, so $9 each; Friday is $9. Thursday + Friday = 60 − 26 = $34, so Thursday = $25.
34 Shape P covers 4 cm². Shape Q is the same shape with every side made three times as long.How much area does Shape Q cover?
Show worked solution
Tripling every side multiplies the area by 3 × 3 = 9. 4 × 9 = 36 cm². (12 cm², tripling the area, is the trap.)
35 Twelve tokens numbered 1 to 12 are in a bag, and Jess pulls one out without looking.
1 Odd and even are equally likely.
2 A number above 8 is more likely than a number below 4.
3 The 5 and the 10 have the same chance.
Which of the numbered statements are true?
1 Odd and even are equally likely.
2 A number above 8 is more likely than a number below 4.
3 The 5 and the 10 have the same chance.
Which of the numbered statements are true?
Show worked solution
Six even, six odd (1 ✓). Greater than 8: 9, 10, 11, 12 (four); less than 4: 1, 2, 3 (three) (2 ✓). One counter each (3 ✓).