2016 Grade 10 Math Challenge Elimination Level Questions with Answers – Part 2

This is the 2016 Grade 10 Math Challenge Elimination Level Questions with Answers – Part 1 with answers. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

26.) Suppose an object is dropped from the roof of a very tall building. After t seconds, its height from the ground is given by h = -16t^2 + 625, where h is measured in feet. How long does it take to reach ground level?

27.) In \triangle ABC, AB || DE, AC= 10cm, CD = 7 cm, and CE = 9 cm. Find BC.

28.) Find a polynomial P(x) of degree 3 that has zeroes -2, 0, and 7, and the coefficient of x² is 10.

29.) Find the equation (in the form ax + by = c) of the perpendicular bisector of the line segment joining the points (1, 4) and (7, 2).

30.) The sides of a polygon are 3, 4, 5, 6, and 7 cm. Find the perimeter of a similar polygon, if the side corresponding to 5 cm is 9 cm long.

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2016 Grade 9 Math Challenge – Elimination Round with answer key – Part II

Below are the 2016 Grade 9 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the Past Tests and All Posts pages.

26.) Find x so that x - 2, x + 2, and x + 4 are consecutive terms of a geometric sequence.

27.) What is the smallest positive angle which is co-terminal to -1125^\circ?

28.) What is the height of an equilateral triangle whose perimeter is 6 meters?

29.) By what factor is the volume of a cube increased if each of its sides is tripled?

30.) z varies directly as x and varies inversely as the square of y. If z =\frac{7}{2} when x = 14 and y = 6, find z when x = 37 and y = 9.

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2016 Grade 10 Math Challenge Elimination Level Questions with Answers – Part 1

This is the 2016 Grade 10 Math Challenge Elimination Level Questions with Answers – Part 1 with answers. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

1.) Find the value of \sqrt{x + \sqrt{14 - x}} when x = -2.

2.) Find the area of the triangle formed by the coordinate axes and the line 3x + 2y = 6.

3.) A sequence is defined by a_n = 3(a_{n-1} + 2) for n\geq 2, where a_1 = 1. What is a_4?

4.) Christa leaves Town A. After traveling 12 km, she reaches Town B at 2:00 P.M. Then she drove at a constant speed and passes Town C, 40 km from Town B, at 2:50 P.M. Find the function d(t) that models the distance (in km) she has traveled from Town A t minutes after 2:00 P.M.

5.) What is the largest negative integer that satisfies the inequality |3x + 2| > 4?

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2019 Grade 6 Math Challenge Elimination Level Questions with Answers – Part 2

This is the 2019 Grade 6 Math Challenge Elimination Level Questions with Answers – Part 2 with answers. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

26.) What is the sum of all odd numbers greater than 1 and smaller than 21?

27.) How many integers from 1 to 101 inclusive are divisible by either 5 or 3?

28.) If a = 2 and b = 3, then \dfrac{1}{a} + \dfrac{1}{b} equals?

29.) On a test consisting of 30 questions, Susan had 50% more right answers than she had wrong answers. Each answer was either right or wrong. How many questions did she answer correctly?

30.) Find the sum of the integers that we can place in the squares so that the inequalities shown would be true.
\dfrac{1}{4} < \dfrac{\Box}{12} \leq \dfrac{1}{3} < \dfrac{\Box}{12} < \dfrac{1}{2}.

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2019 Grade 6 Math Challenge Elimination Level Questions with Answers – Part 1

This is the 2019 Grade 6 Math Challenge Elimination Level Questions with Answers – Part 1 with answers. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

1.) Calculate (81 \div 15) \times (14 \div 27) \times (5 \div 7)

2.) Calculate 16 \times 4 \times 8 \times 125 \div 1 000.

3.) What is the sum of 0.48, 10.2, 0.03 and 8?

4.) What is the quotient when 0.1 divided by 0.02?

5.) What is the product of 0.2 \times 0.2 \times 0.2?

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