Worksheet generator

Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.

Level

Point value

Strand

How many

Figures

10 on the sheet, 36 match these filtersReshuffle Start overseed 8

This exact URL always produces this exact sheet — bookmark it and the answer key will still match next term. Print with your browser; the controls and the site navigation are left off the page.

Math Kangaroo practice

Name: ______________________Date: ____________10 questions · 40 points

1.A photograph is enlarged so that each side becomes 3 times as long. How many times bigger is its area?[4]
- A3 times
- B6 times
- C9 times
- D12 times
- E27 times
2.What is the remainder when 2 to the power 30 is divided by 7?[4]
- A1
- B2
- C4
- D5
- E6
3.24 pencils and 36 erasers are shared into identical gift bags, using every item. What is the largest number of bags possible?[4]
- A4
- B6
- C12
- D18
- E72
4.A price goes up by 20%, then down by 20%. Compared with the original price, the final price is:[4]
- A20% lower
- B4% lower
- Cthe same
- D4% higher
- E40% higher
5.How many different four-letter arrangements can be made from the letters of the word MATH, using each letter once?[4]
- A4
- B12
- C16
- D24
- E256
6.An isosceles triangle has an angle of 100 degrees. How big is each of the other two angles?[4]
- A20
- B40
- C45
- D80
- E100
7.A train covers 150 km at a steady 60 km per hour. How many minutes does the journey take?[4]
- A25
- B90
- C150
- D210
- E9000
8.A rectangle measures 30 cm by 0.4 m. What is its area in square centimetres?[4]
- A0.12
- B12
- C120
- D1200
- E12000
9.Work out 17 x 24, then check it a second way before you commit to an answer.[4]
- A340
- B368
- C388
- D398
- E408
10.What is the smaller angle between the hands of a clock at exactly 4 o'clock?[4]
- A30
- B60
- C90
- D120
- E240

Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 8 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.

Answer key — Math Kangaroo practice

Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.

1.C — 9 timesKA-0042Scaling and similar figures
- AI applied the length scale factor straight to the area.
- BI doubled the scale factor because area involves two dimensions, instead of squaring it.
- DI multiplied the scale factor by four, as though area scaled with the number of sides.
- EI cubed the scale factor, which is the rule for volume rather than area.
2.A — 1KA-0053Remainders and modular cycles
- BI found the cycle 2, 4, 1 but read the remainder of 30 divided by 3 as one instead of zero.
- CI counted the cycle positions from zero, which shifted my answer one step along.
- DI divided 30 by 7 and used that remainder rather than the remainder of the powers.
- EI assumed the remainder would be one less than the divisor because the power is large.
3.C — 12KA-0062Factors, multiples, LCM and GCD by listing
- AI found a number that divides both but not the largest one, stopping at the first that worked.
- BI used the difference between 36 and 24 divided by 2 rather than a common factor.
- DI used a factor of 36 without checking that it also divides 24.
- EI found the least common multiple instead of the greatest common divisor.
4.B — 4% lowerKA-0065Percentages and simple discounts
- AI applied only the decrease and forgot that the price had already risen.
- CI assumed a rise and a fall of the same percentage cancel each other out exactly.
- DI got the size of the change right but the direction wrong.
- EI added the two percentages together instead of applying them one after the other.
5.D — 24KA-0073Arrangements of a few objects
- AI counted the letters rather than their arrangements.
- BI multiplied 4 by 3 and stopped, forgetting the last two positions.
- CI used 4 choices for every position, as if letters could repeat.
- EI used 4 choices in each of four positions, which allows every letter to repeat.
6.B — 40KA-0080Properties of triangles and quadrilaterals
- AI subtracted 100 from 180 and then divided by four instead of by two.
- CI assumed the two equal angles are always 45 degrees.
- DI gave what is left after taking 100 from 180 without splitting it between the two angles.
- EI made the 100 one of the equal pair, which would already exceed 180 degrees on its own.
7.C — 150KA-0117Rate, time, distance
- AI divided 150 by 60 and read the answer as minutes rather than hours.
- BI used 1.5 hours instead of 2.5, dividing 90 by 60 rather than 150.
- DI converted 2.5 hours as two hours and fifty minutes.
- EI multiplied the distance by 60 instead of dividing, then converted.
8.D — 1200KA-0128Check units and re-read before bubbling
- AI worked entirely in metres and gave the answer in square metres.
- BI multiplied 30 by 0.4 without converting the metres to centimetres at all.
- CI converted 0.4 m to 4 cm rather than 40 cm.
- EI converted 0.4 m to 400 cm, moving the decimal point one place too far.
9.E — 408KA-0129Sanity-check with a second method
- AI worked out 17 times 20 and forgot to add the 17 times 4 part.
- BI worked out 17 times 4 as 28 instead of 68 when adding the parts together.
- CI worked out 17 times 4 as 48 instead of 68 when adding the parts together.
- DI made a carrying slip of ten in the final addition of the two parts.
10.D — 120KA-0148Clock geometry: hands, angles, times
- AI gave the angle for a single hour mark rather than the four marks between the hands.
- BI counted two hour marks instead of four.
- CI assumed any gap of a few hours is a right angle, as it is at three o'clock.
- EI measured the angle the long way round the clock face instead of the smaller one.

Loading…