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Math Kangaroo practice

Name: ______________________Date: ____________3 questions · 11 points

1.A bread recipe uses flour and sugar in the ratio 5 to 3. The two together weigh 320 grams. How much of that is flour?[3]
- A120 g
- B160 g
- C200 g
- D192 g
- E64 g
2.A jacket costs 80 pounds. In January the price rises by 20 percent. In February the new price falls by 20 percent. What is the price at the end of February?[3]
- A80 pounds
- B76.80 pounds
- C64 pounds
- D83.20 pounds
- E96 pounds
3.What is the last digit of 3 multiplied by itself 2026 times, that is, of 3 to the power 2026?[5]
- A3
- B9
- C7
- D1
- E6

Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 1 · 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 — 200 gKA-0151Ratio as parts of a whole
- AI worked out the part size correctly and then answered for the sugar instead of the flour.
- BI split the 320 grams into two halves instead of into eight equal parts.
- DI took three fifths of 320 rather than five eighths, using the ratio numbers as a fraction of each other.
- EI divided 320 by the 5 in the ratio and stopped, treating 5 as the number of parts.
2.B — 76.80 poundsKA-0153Percentages and simple discounts
- AI assumed a 20 percent rise and a 20 percent fall must cancel because the percentages match.
- CI applied only the fall and forgot the rise.
- DI got the size of the change right but the direction wrong.
- EI applied only the rise and forgot the fall.
3.B — 9KA-0158Last-digit behavior of products and powers
- AI used the first entry of the cycle because 2026 is even, without working out where in the cycle it lands.
- CI counted the cycle starting from zero, so a remainder of 2 put me one place too far along.
- DI assumed a power that large must end in 1.
- EI multiplied 3 by 2 and used the last digit of that.

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