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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2013 Grade 8 Math Challenge Elimination Level Questions with Answers – Part 2

This is the 2013 Grade 8 Math Challenge Elimination Level Questions with Answers – Part 2. 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 should be subtracted from \dfrac{5}{x} + \dfrac{3}{z} to get \dfrac{5yz - 4xz + 3xy}{xyz}?

27.) If 3^{x + 1} = 4, what is 3^{2x - 1}?

28.) A storage battery discharges at a rate which is proportional to the storage. If the charge is reduced by 25% of its original value at the end of 3 days, how long will it take to reduce the charge to 10% of its original charge?

29.) If r and s are the roots of the equation 2x^2 - 3x + 4 = 0, what is 4r^2 + 7rs + 4s^2?

30.) The value of C varies directly with x and the square of y and inversely with the cube of z. If each x, y and z are to be increased by 50%, what would be the effect on the value of C?

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2013 Grade 8 Math Challenge Elimination Level Questions with Answers – Part 1

This is the 2013 Grade 8 Math Challenge Elimination Level Questions with Answers – Part 1 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.) Simplify: (a - b)^2 (a + b)^2 + 2a^2b^2

2.) The difference between the squares of two consecutive positive integers is 2013. What is the larger integer?

3.) When written in decimal representation, how many digits does 4^{11} \times 5^{20} have?

4.) Simplify:
(a^2 - b^2) \div \left( \dfrac{a^2 + b^2}{b^2 + ab} \div \dfrac{a^2 - ab}{b^2 - ab} \right).

5.) Solve for x in the equation x(3x + 2) = 8.

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Mock MTAP Math Challenge Year 4 Questions – Set 2

This is the 2018 Mock MTAP Math Challenge Year 4 questions – Individual Written Competition Set 2. Answers and solutions will be posted later. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

Part I. Solve each problem and write the answer on the answer sheet provided. Give lines as ax + by + c = 0. Leave answers in simplifi ed radicals and use base 10 unless otherwise stated. [2 points each]

1.) Evaluate 1 – 2 + 3 – 4 + 5 – 6 … – 2012 + 2013.

2.) Find the domain of the function f(x) = \sqrt{\dfrac{3 - x}{x}}.

3.) Find the value of k so that the line 2x + 3y – 4 = 0 and 4x + ky + 5 = 0 are perpendicular.

4.) If sin \theta = \dfrac {1}{3} and cos \theta < 0, find tan \theta.

5.) Solve for x:
\dfrac{x + 1}{x - 1} + \dfrac{x - 2}{x + 2} = 3.

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