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 10 on the sheet, 17 match these filtersReshuffle Start over seed 1
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.
1. A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?[3]
2. One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?[3]
A 9:06B 9:30C 9:36D 9:54E 12:363. A tap drips about 3 times a minute. Roughly how many drips is that in one day?[3]
4. Which of these fractions lies between one third and one half?[3]
5. Red and blue counters are in the ratio 3 to 5. There are 40 counters altogether. How many are red?[4]
6. What is 2 + 4 + 6 + ... + 100?[4]
A 1275B 2450C 2500D 2550E 51007. 24 pencils and 36 erasers are shared into identical gift bags, using every item. What is the largest number of bags possible?[4]
8. The mean of four numbers is 9. Three of them are 5, 8 and 12. What is the fourth?[4]
9. What is the units digit of 3 multiplied by itself 100 times, that is 3 to the power 100?[4]
A 1B 3C 7D 9E it cannot be found without a calculator10. What is the units digit of 7 multiplied by itself 2026 times, that is 7 to the power 2026?[5]
A it cannot be found without a calculatorB 1C 3D 7E 9Kangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 1 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
1. E — 60 KA-0026 Percentages and simple discounts
A I worked out the size of the discount and gave that as the new price instead of subtracting it.B I treated a quarter off as half off and took the price down to 40.C I applied the 25% reduction twice, taking 80 down to 60 and then 60 down to 45.D I subtracted 25 euros rather than 25 percent, treating the percentage as an amount of money.2. C — 9:36 KA-0041 Factors, multiples, LCM and GCD by listing
A I found the greatest common divisor of 12 and 18 instead of the least common multiple.B I added the two intervals together rather than looking for a time that is a multiple of both.D I found a common multiple but not the least one, landing on a later coincidence.E I multiplied the two intervals together instead of finding their least common multiple.3. D — 4320 KA-0059 Estimation and order of magnitude
A I worked out the drips in an hour and stopped there.B I multiplied by the 24 hours but forgot the 60 minutes in each one.C I used 6 hours in a day, thinking of waking hours rather than a whole day.E I used 600 minutes in an hour rather than 60.4. C — 2/5 KA-0141 Number lines and betweenness
A I compared the bottom numbers and assumed a bigger denominator means a bigger fraction.B I saw that 4 lies between 3 and 2 and assumed one quarter therefore lies between the two fractions.D I checked that it is bigger than one third but never checked it against one half.E I compared the top numbers only and ignored what the bottoms do to the size.5. D — 15 KA-0024 Ratio as parts of a whole
A I found what one part is worth and gave that as my answer instead of multiplying it back up.B I divided 40 by the five blue parts instead of by the eight parts that make the whole.C I read the ratio 3 to 5 as meaning 3 out of every 5 and worked from that.E I found the value of one part correctly but then multiplied by 5 instead of 3, giving the blue counters.6. D — 2550 KA-0058 Clever regrouping (pair to round numbers)
A I found the sum of 1 to 50 and forgot that every term here is twice as big.B I used 49 pairs instead of 25, losing one pair from the count.C I estimated the answer as a round number rather than pairing properly.E I paired the terms but forgot that pairing counts every number twice, so I never halved.7. C — 12 KA-0062 Factors, multiples, LCM and GCD by listing
A I found a number that divides both but not the largest one, stopping at the first that worked.B I used the difference between 36 and 24 divided by 2 rather than a common factor.D I used a factor of 36 without checking that it also divides 24.E I found the least common multiple instead of the greatest common divisor.8. C — 11 KA-0066 Means, and working backwards from a mean
A I assumed the missing number must be the mean itself.B I averaged the three known numbers instead of working from the total.D I repeated one of the numbers already given rather than computing the missing one.E I used a total of 37 instead of 36, adding the mean in once too often.9. A — 1 KA-0149 Last-digit behavior of products and powers
B I assumed every power of 3 ends in 3.C I found the cycle 3, 9, 7, 1 but counted its positions from zero, landing one step early.D I used a remainder of 2 instead of 0 when dividing 100 by the cycle length of 4.E I assumed a number this large has no reachable last digit, rather than looking for a repeat.10. E — 9 KA-0037 Last-digit behavior of products and powers
A I assumed a number this large has no reachable last digit and gave up on the cycle.B I found the cycle 7, 9, 3, 1 but used a remainder of 0 when the remainder is actually 2.C I found the cycle but counted its positions starting at zero, shifting my answer along by one.D I assumed the units digit of any power of 7 is always 7.