2019 Grade 5 Math Challenge Elimination Level Questions with Answers – Part 1

This is the 2019 Grade 5 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.) What is the missing added in the statement below?
20 + 22 + 24 + 26 + 28 = 21 + 23 + ___ + 25 + 27

2.) What is the average of 17, 20, 23, 26, 29, 32 and 35?

3.) If a + b = 78, b + c = 121, and a + c = 125, what is a + b + c equal to?

4.) What is the value of the expression
\dfrac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{40 + 36 + 32 + 28 + 24 + 20 + 16 + 12 + 8 + 4}

5.) Two sides of a triangle have lengths 30.45 cm and 39.27 cm. If the perimeter of the triangle is 120 cm, how long is the third side?

6.) The area and perimeter of a square are numerically equal. What could be the length of the side of the square?

7.) Given: 1 + 3 = 4; 1 + 3 + 5 = 9; 1 + 3 + 5 + 7 = 16; 1 + 3 + 5 + 7 + 9 = 25. What is the sum of the first 36 odd numbers?

8.) In the set {440, 450, 460, 480}, which of the numbers is a sum of four consecutive whole numbers?

9.) What is 25% of five-eighths of 702 080?

10.) In the set \{\dfrac{18}{25}, \dfrac{7}{9}, \dfrac{3}{4}, \dfrac{2}{3}, \dfrac{1}{2}\} which of the fractions has the greatest value?

11.) If \frac{1}{2}(a + b + c) = 155 and \frac{1}{4}(d + e) = 177, what is the average of a, b, c, d, e?

12.) Determine the set of the prime factors of 6 000.

13.) What is the product of the LCM and GCF of 64 and 60?

14.) The numbers 191, 999, and 12321 are called palindromes. In a palindrome, the arrangements of the digits from left to right and right to left are the same. What is the least number that should be added to 2018 to get a five-digit palindrome?

15.) What is the sum of \dfrac{1}{2} + \dfrac{2}{4} + \dfrac{3}{6} + \dfrac{4}{8} + \dfrac{5}{10} + ... and so on in that pattern up to \dfrac{130}{260}

16.) A 3-by-5 rectangle is partitioned into 1-by-1 squares. How many squares are formed in all?

17.) What is the missing number n in the proportion 9 : n = n : 16?

18.) The five-digit number, 8b9d8, is both divisible by 4 and 6. After replacing b and d with the appropriate digits, the number formed is in the least possible value. What is the number?

19.) Segment AB has four other distinct points between its endpoints A and B. How many segments are determined by these points?

20.) What is the sum of the first 20 even numbers starting from 2?

21.) How many pieces of coins are there in 500-peso worth of 10-centavo coins and 500-peso worth of 5-centavo coins?

22.) What is the equivalent of the expression when written as simple fraction?
[(10% + 1% + 0.1% + 0.01%+ 0.001% + …) × 6]

23.) How many halves are there in 100.75 + 50.75?

24.) There are 2 424 math books in a library. This is 20% of the books in the library. How many books in the library are NOT math books?

25.) If x = 1 + 2 + 3 + 4 + 5, what is the value of (x + 1 + 2 + 3 + x + 4 + 5 + 6 + x + 7 + 8 + 9 + x) multiplied by x written in standard form?

Answer key:

1.) 24
2.) 26
3.) 162
4.) 1/4
5.) 50.28 cm
6.) 4 units
7.) 1 296
8.) 450
9.) 109 700
10.) 7/9
11.) 215.6
12.) {2, 3, 5}
13.) 3 840
14.) 10 003
15.) 65
16.) 26
17.) 12
18.) 80928
19.) 15
20.) 420
21.) 15 000
22.) 2/3
23.) 303
24.) 9 696
25.) 1 575

View Part 2 here: 2019 Grade 5 Math Challenge Elimination Level Questions with Answers – Part 2

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