Math Kangaroo Competition 2020 Grade 10 Sample Paper : mathkangaroo.in
Organisation : International Olympiad Academy
Exam : Math Kangaroo Competition
Document Type : Sample Paper
Class : Grade 10
Year : 2020
Website : https://www.mathkangaroo.in/sample-papers/2020
Math Kangaroo Competition Sample Paper
International Olympiad Academy Math Kangaroo Competition 2020 Grade 10 Sample Paper
Related / Similar Question Paper : Math Kangaroo Competition 2020 Grade 8 Sample Paper
Math Kangaroo Grade 10 Sample Paper
1. When the answers to the following calculations are put in order from smallest to largest, which will be in the middle?
(A) 1 + 2345
(B) 12 + 345
(C) 123 + 45
(D) 1234 + 5
(E) 12345
2. Who is the mother of the daughter of Anne’s mother’s mother?
(A) Anne’s sister
(B) Anne’s niece
(C) Anne’s mother
(D) Anne’s aunt
(E) Anne’s grandmother
3. The sum of four consecutive integers is 2. What is the smallest of these integers?
(A) –3
(B) –2
(C) –1
(D) 0
(E) 1
4. The years 2020 and 1717 both consist of a two-digit number repeated twice. How many years after 2020 will it be until the next year which has this property?
(A) 20
(B) 101
(C) 120
(D) 121
(E) 202
5. Mary has ten pieces of paper. Some of these are squares and the rest are triangles. She cuts three squares diagonally from corner to corner. She counts the total number of vertices of the 13 pieces of paper she now has and gets the answer 42. How many triangles did she have before making the cuts?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
Section – B (4 Point Problems):
1. Helen wants to spend 18 consecutive days visiting her Grandma. Her Grandma reads her story books on story days Tuesday, Saturday and Sunday. Helen wants to spend as many story days with her Grandma as possible. On which day of the week should she start her visit?
(A) Monday
(B) Tuesday
(C) Friday
(D) Saturday
(E) Sunday
2. The integers a, b, c and d satisfy ab = 2cd. Which of the following numbers could not be the value of the product abcd?
(A) 50
(B) 100
(C) 200
(D) 450
(E) 800
3. An isosceles triangle has a side of length 20 cm. Of the other two side lengths, one is equal to 2/5 of the other. Which of the following values is the perimeter of this triangle?
(A) 36 cm
(B) 48 cm
(C) 60 cm
(D) 90 cm
(E) 120 cm
4. Masha put a multiplication sign between the 2nd and 3rd digits of the number 2020 and noted that the resulting product 20 ? 20 is a square number. How many numbers between 2010 and 2099 (including 2020) have the same property?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
5. Luca began a 520 km trip by car with 14 litres of fuel in the car tank. His car consumes 1 litre of fuel per 10 km. After driving 55 km, he reads a road sign showing the distances from that point to five petrol stations ahead on the road. These distances are 35 km, 45 km, 55 km, 75 km and 95 km. The capacity of the car’s fuel tank is 40 litres and Luca wants to stop just once to fill the tank. How far is the petrol station that he should stop at?
(A) 35 km
(B) 45 km
(C) 55 km
(D) 75 km
(E) 95 km
Instructions
1. Please DO NOT OPEN the contest booklet until the proctor has given permission to start.
2. There are 30 questions in this paper. Easy: 3 points for each correct answer. Medium: 4 points for each correct answer. Hard: 5 points for each correct answer. 1 point will be deducted for each incorrect answer, and no penalty for skipping a question.
3. All questions are compulsory. There is only ONE correct answer to each question.
4. No electronic devices capable of storing and displaying visual information are allowed during the exam.
5. Use of calculator is strictly prohibited in the exam.
6. Fill your Name, Roll No., Grade and School Name in the answer sheet.
7. To mark your choice of answers by darkening the circles in the Answer Sheet, use an HB Pencil or a Blue/Black Ball Point Pen only.
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Math Kangaroo Grade 10 Sample Paper : https://www.pdfquestion.in/uploads/pdf2021/37281-g10.pdf