2003 Grade 5 Math Challenge – Division Level with downloadable PDF

Below are the 2003 MTAP Grade 3 Math Challenge Sectoral level questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) What is the value of 8 in 18 735 290?

2.) Round each factor and estimate the product 92 /times 8

3.) How many common multiplies of 3 and 4 are there between 10 and 80?

4.) What is the remainder when 500 is divided by 23?

5.) What digit can you put in the blank to make 458_ divisible by 6?

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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 9 Math Challenge – Elimination Round with answer key – Part I

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

1.) Solve for x in \sqrt {2 - x} - 4 = 0.

2.) Find sin \theta if tan \theta - \frac{3}{4} and cos \theta < 0.

3.) What is the value of
tan \left( -\dfrac{17}{6}\pi\right)?

4.) Solve for x in
\dfrac{5}{x + 2} - \dfrac{2}{x + 1} = \dfrac{1}{2}.

5.) Solve for x in x^4 - 4x^2 - 5 = 0.

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2017 Grade 9 Math Challenge – Elimination Round with answer key – Part II

Below are the 2017 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 all possible values of x in the proportion (x – 3) : (x – 1) = (x + 6) : 20.

27.) An angle in a quadrilateral has measures 60^\circ, while the others have degree measures in the ration 3 : 5 : 7. Find the measure of the largest angle.

28.) In rhombus PQRS, \angle QPR = 4 \angle QSR. Find \angle PQS.

29.) The diagonals of rhombus STAY intersect at X. If AX = m + n, YX = 12, SX = 4m - n, and TX = 4n, find the length (in units) of the shorter diagonal.

30.) Find the perimeter (in units) of the rhombus STAY in the previous problem.

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2017 Grade 9 Math Challenge – Elimination Round with answer key – Part I

Below are the 2017 Grade 9 Math Challenge – Elimination Round questions and answers – Part I. More reviewers can be found on the Past Tests and All Posts pages.

1.) Find the value of c that will make x^2 - 20x + c a perfect square.

2.) Solve for x in 16x^2 - 10 = 15.

3.) A number and its reciprocal have a sum of \frac{13}{6}. Find the larger of these two numbers.

4.) Solve for x in (x^2 + 1)^2 + 2(x^2 + 1) - 35 = 0.

5.) Solve the inequality x^2 - 2x - 35 \leq 0 for x.

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