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

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.

26.) How many whole numbers n will make \dfrac{200}{n} a whole number?

27.) In a set \{\dfrac{3}{9}, \dfrac{3}{6}, 33\dfrac{1}{3}, \dfrac{4}{12}, \dfrac{5}{25}, \dfrac{5}{15}, \dfrac{123}{369}, \dfrac{17}{51}, \dfrac{19}{38}, 0.333333 ...\} how many of the numbers are equal to 33\dfrac{1}{3}% ?

28.) One-digit whole numbers x and y have exactly four factors each. Also, x + y has exactly four factors. What is the value of x + y?

29.) What is the value of n in the equation (\dfrac{1}{2})^2 \times (\dfrac{2}{3})^2 \times (\dfrac{3}{4})^2 \times ... \times (\dfrac{9}{10})^2 = n?

30.) What is thrice the value of \dfrac{1 + 2 + 3 + 4 + 5 + 6}{18 + 15 + 12 + 9 + 6 + 4}?

31.) What digit is the units place in the sum of 3^5 + 5^5 + 2^5?

32.) What is the digit in the tenths place when thrice of 45 678 is divided by 1 000?

33.) What is the sum of (\dfrac {1 + 2 + 3 + 4}{2 + 4 + 6 + 8}) + (\dfrac {1 + 2 + 3 + 4}{3 + 6 + 9 + 12}) + (\dfrac {1 + 2 + 3 + 4}{6 + 12 + 18 + 24})?

34.) Josefania is making a necklace with beads in a repeating pattern of RED, BLUE, GREEN, YELLOW, ORANGE. What is the color of the 888th bead if the first bead is GREEN?

35.) What is the mean of all the dates in the month of October?

36.) Pedrito and Pedrita are siblings. Pedrito said, “I have as many brothers as sisters.” Pedrita said, “I have twice as many brother as sisters.” How many of them are boys and how many of them are girls?

37.) What is the last digit of the number 2^{2018} when it is written in standard form?

38.) If a = 2b = 3c = 9, what is the value of 64 \times a \ times b \times c + 1?

39.) What digit can be used to replace x in the given table?

40.) If I add 14 to my house number, the sum is a perfect square. If I subtract 14 from my house number, the sum is also a perfect square. What is my house number?

41.) How many of the whole numbers less than 10 are NOT prime?

42.) What is the 9th term in the sequence 2, 5, 10, 17, 26, 37, 50… ?

43.) The average of 40 numbers is 38. If three numbers are discarded, namely 40, 24, and 50, what is the average of the remaining numbers?

44.) How many 25-centavo coins are in a Pondo ng Pinoy collection amounting to Php 555.50?

45.) How many months of the year have number of days NOT exactly equal to 4\dfrac {2}{7}?

46.) Two numbers are equidistant from the number 37.5 on a number line. If the numbers are 37.5 units away from each other, what are the numbers?

47.) Consecutive numbers are plotted in rows and columns as shown. In what column will 200 fall?


48.) What number is formed out of the last three digits, in order as they occur, when 5^{10} + 5 is written in standard form?

49.) What is the least common multiple of all the whole numbers from 2 to 9?

50.) The big triangle partitioned into two smaller triangles. If a = 38 degrees, b = 96 degrees, and c = 48 degrees, what is the value of d + e?

Answer key:

26.) 12
27.) 6
28.) 14
29.) 1/100
30.) 1
31.) 0
32.) 0
33.) 1
34.) ORANGE
35.) 16
36.) 4 boys and 3 girls
37.) 4
38.) 7 777
39.) 5
40.) 50
41.) 6
42.) 82
43.) 38
44.) 2 222 pieces
45.) 8
46.) 18 \frac {3}{4} and 56 \frac{1}{4} or 18.75 and 56.25
47.) Letter O
48.) 630
49.) 2 520
50.) 94 degrees


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

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