# Category Archives: Grade 5-6

## 2019 Grade 6 Math Challenge Divisionals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 6 Math Challenge Division Finals 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 answer to 100 – 99 + 98 – 97 + 96 – 95 + … + 2 – 1?

2.) When 20 is divided by n, the quotient is 3 and the remainder is 2. What is n?

3.) What is the smallest natural number n which will make the product of 12 and n divisible by 28?

4.) What is the maximum number of Mondays that there can be in the month of February?

## 2019 Grade 5 Math Challenge Divisionals Questions and Answers (with PDF)

Below are the 2019 MTAP Grade 5 Math Challenge Division Finals questions and answers. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Easy

1.) If x = 5 + 10 + 15 + 20 + 25 and y = 13 + 14 + 15 + 16 + 17, what is x – y?

2.) If $\dfrac {a + b}{b} = \dfrac {11}{8}$, what is the value of $\dfrac {a}{b}$?

3.) Express as decimal the sum of $1 + \dfrac {1}{2} + \dfrac {1}{3} + \dfrac {1}{4} + \dfrac {1}{5} + \dfrac {1}{6}$.

4.) If x : 8 = y : 32 and x + y = 25, what is y – x?

5.) S = $1 + 1^2 + 1^3 + 1^4 + 1^5 + 1^6.$ How many prime factors does S have?

6.) A bell sounds at the indicated number of times at regular intervals as follows: …, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 1, 1, ___, ___… What are the next two numbers? Continue reading

## 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

## 2018 Grade 6 Math Challenge Questions (with PDF)

Below are 50 questions from the 2018 Math Challenge. Solutions will follow later.

1.) What is the sum of the first five prime numbers?

2.) What is the largest value of 𝑛 so that 326𝑛38 < 326438?

3.) What number should be subtracted from 17 to get 44?

4.) 3[5(6 − 3) + 2] = _____

5.) In 237428835, how many ten thousands are there?

6.) Using the digits 4, 7, 2, and 5 exactly once, what is the smallest number that you can be formed?

7.) Complete the number sentence: 32 + _____ = 80.  Continue reading