Math Kangaroo-style Practice Test 1 (Grade 4)
A free Math Kangaroo competition practice paper for Grade 4 in the format of the real test: 24 questions in 75 minutes, covering Section A — 3-point questions; Section B — 4-point questions; Section C — 5-point questions. 75 minutes, no calculator. Choose one answer for each question. In the real contest questions are worth 3, 4 or 5 points (Sections A, B and C) and there is no penalty for a wrong answer, so answer every question. Here each correct answer counts once. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Nina writes the word KANGAROO again and again without spaces: KANGAROOKANGAROOKANG... She stops after she has written exactly 100 letters. How many letters O has she written?
Q2. The card lies flat on a table. A mirror stands upright on the blue line, right next to the card. What does the card look like in the mirror?
Q3. 3 apples weigh the same as 2 pears. 1 pear weighs the same as 3 plums. How many plums weigh the same as 4 apples?
Q4. How many squares of any size can you find in this picture?
Q5. Today is Wednesday. Which day of the week will it be 100 days from today?
Q6. On a normal die, the numbers on opposite faces always add up to 7. Leo stacks three dice in a tower on a table. The top face of the tower shows 2. What is the total of the five faces that are hidden because they touch another die or the table?
Q7. A kangaroo starts at 0 on a number line. Each jump takes it exactly 3 or exactly 5 steps forward. On which of these numbers can it never land?
Q8. A square is cut into three identical rectangles, as shown. Each rectangle has a perimeter of 16 cm. What is the perimeter of the square?
Q9. Oscar writes all the whole numbers from 1 to 50. How many times does he write the digit 3?
Q10. Equal shapes stand for equal numbers. The number after each row is the total of that row. Which number does the square stand for?
Q11. This tile is turned a quarter turn clockwise (in the direction of the arrow). What does it look like then?
Q12. Maya has lots of 2-cent stamps and lots of 5-cent stamps. She wants to put stamps worth exactly 40 cents on a parcel, using at least one stamp of each kind. In how many different ways can she choose the stamps?
Q13. One of four children broke a window. Ava says: "Ben did it." Ben says: "Cody did it." Cody says: "Ben is not telling the truth." Dina says: "I did not do it." Exactly one of the four children is telling the truth. Who broke the window?
Q14. The shape is made from 7 squares. Each square has sides of 2 cm. What is the perimeter of the shape?
Q15. In a race, three times as many children finished ahead of Ella as finished behind her. Nobody finished at the same time as anyone else. How many children could have been in the race?
Q16. Which of these shapes can be folded along the lines to make a cube?
Q17. How many three-digit numbers have digits that add up to 5? (For example, 203 is one of them.)
Q18. A square sheet of paper is folded in half from left to right, and then folded in half again from bottom to top. Then one hole is punched as shown. What does the paper look like when it is unfolded?
Q19. A block measuring 5 cm by 4 cm by 3 cm is painted on the outside. Then it is cut into 1 cm cubes. How many of the small cubes have paint on exactly one face?
Q20. Two cards are made of clear plastic, with some squares painted dark. Card 2 is flipped over like the page of a book (its left side goes to the right) and then laid exactly on top of Card 1. What do you see?
Q21. Sam walks along the streets from A to B. He only ever walks to the right or upwards. The street marked with a cross is closed. How many different routes can Sam take?
Q22. The numbers 1, 2, 3, 4, 5 and 6 are written in the six circles, one number in each circle. The three numbers along each side of the triangle add up to 12. The number 5 is at the top. Which number is x?
Q23. The pages of a book are numbered 1, 2, 3, and so on up to the last page. To print all the page numbers, exactly 222 digits are used. How many pages does the book have?
Q24. Kim puts the cards 1, 2, 3, 4 and 5 in a row. Any two cards that are next to each other must differ by at least 2 (so 2 and 3 may not be neighbors). In how many different orders can she place the cards?
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