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2016 Grade 6 Math Challenge Elimination Questions

This is the 2016 MTAP Grade 6 Math Challenge questions. Solutions and answer will be posted later. More reviewers can be found on the Past Tests and All Posts pages. The pdf file can be downloaded here.

1.) Write 3 780 as a product of its prime factors using exponents.

2.) What is the GCF of 36, 108 and 126?

3.) The LCM of n and 20 is 60 and the GCF is 5. What is n?

4.) What digits can you place in the blank in 2 67_ to make it divisible by 6?

5.) What is the highest exponent in the prime factorization of 1 008?

6.) What is the largest prime number in the prime factorization of 1 071?  Continue reading

2016 Grade 5 Math Challenge Elimination Questions

This is the 2016 MTAP Grade 5 Math Challenge questions. Solutions and answer will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

1.) 27 – (11 + 9) × 4 ÷ 8 + 31 =

2.) 98 – 89 + 37 × (__ – 4) = 268. What number is in __?

3.) 28 and 832 thousandths is subtracted from 56 and 61 hundredths. What is its difference to the nearest tenths?

4.) Find the product of 3 033 and 94. Divide your answer by the difference of 1 500 and 1 288. What is your answer to the nearest hundreds?

5.) The quotient when 0.25 is divided by a number 1 000. What is the divisor?  Continue reading

2016 Grade 7 Math Challenge Elimination Questions

This is the 2016 MTAP Grade 7 Math Challenge questions 26 to 30. Solutions and answer will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

1.) Simplify: 6(2)^2 - (4 - 5)^3.

2.) By how much is 3 - \frac{1}{3} greater than 1 - \frac{1}{2}?

3.)  Write \frac{11}{250000} in scientific notation.

4.)  The product of two prime numbers is 3024. What is the sum of the two numbers?

5.)  A shirt is marked P 315 after a discount of 10% and value added tax of 12%. What was the price of the shirt before tax and the discount?

6.)  How many different lengths of diagonals does a regular octagon have?  Continue reading

2018 Grade 10 Math Challenge Questions 26-50 (with PDF)

This is the 2018 MTAP Grade 10 Math Challenge questions 26 to 30. Questions 1-25 including can be found here. The pdf can be downloaded here. Solutions and answer will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Questions

26.) Find the radius of the circle with equation x^2 + y^2 + 4x - 3y + 5 = 0.

27.) Give the equation (in center-radius form) of the circle having as a diameter the segment with endpoints (-2, 10) and (4, 2).

28.) The center of a circle is on the x-axis. If the circle passes through (0,5) and (6,4), find the coordinates of its center.

29.) If \theta is an angle in a triangle and \sec \theta = \frac{7}{5}, find \tan \thetaContinue reading

2018 Grade 10 Math Challenge Questions 1-25

This is the 2018 MTAP Grade 10 Math Challenge questions 1 to 25. Questions  26 to 50 (including the pdf of Questions 1-50) can be found here. Solutions and answers will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Questions

1.) The average of a number and \sqrt{7} + \sqrt{5} is \sqrt{7} - \sqrt{5}. Find the number.

2.) Find n if27.63% of 349 is $latex  2.763%4 of n.

3.) Simplify:

\dfrac{101!}{99!}.

4.) If 3^n = 90, find the integer closest to n.

5.) Find the largest positive integer n such that  (n - 18)^{4036} \leq 99^{2018}.

6.) How many integers between 60 and 600(inclusive) are divisible by 2 or by 3?  Continue reading