# 2018 Grade 5 Math Challenge Questions (with PDF)

Below is the 2018 Grade 5 Math challenge questions.

____________ 1 What is the value of the largest digit in 5 804 263?

____________ 2 Fill in the blank: 5.361 = 5 + 0.3 + _____ + 0.001.

____________ 3 The tens digit of a three-digit number is one less than its ones digit. If the number is a palindrome (reads the same forward and backward), what is the smallest number that satisfies such condition?

____________ 4 Calculate 4 × 80 + 5(23 − 7).

____________ 5 Round the product of 1563 × 28 to the nearest hundred.

____________ 6 Which is bigger,$\frac{49}{9}$ or $\frac{65}{12}$

____________ 7 What is the product of 2.47 and 1.9?

____________ 8 What is the greatest number which rounds to 50 400 when round to the nearest hundred?

____________ 9 If no digit is repeated, what is the difference between the largest and smallest whole numbers that can be formed using the digits 1, 3, 4, 6, 7?

____________ 10 What digit can be put in the blank so that the resulting number is divisible by 4: 10 6_____6?

____________ 11 List in increasing order the three lowest odd ϐive-digit numbers formed using all of the digits 0, 1, 3, 5, 6.

____________ 12 What is the greatest common factor of 108, 162, and 180?

____________ 13 If the GCF of 18 and 6795 is 9, what is their LCM?

____________ 14 The tens digit of a two-digit number is 2 more than its ones digit. If the number is divided by 10, the remainder is 6. What is the number?

____________ 15 If 123.4 × 6.017 = 742.4978, what is the value of 12.34 × 6017?

____________ 16 What number is halfway between 1.9 and 1.91?

____________ 17 Calculate: $\frac{5.9 + 12.46}{1.2}$.

____________ 18 Find three decimals on the number line between 3.2 and 3.3 so that the give decimals are equally spaced.

____________ 19 A five-digit number is divisible by 9. A new number is formed by interchanging the hundreds and ones digits. What is the remainder when this new number is divided by 9?

____________ 20 Four-sevenths of the class bring lunch to school. Twelve students do not bring their lunch to school. How many students are in the class?

____________ 21 By how much is 20 bigger than the sum of $8 \frac{1}{3}$ and $6 \frac{3}{4}$

____________ 22 What is $9 \frac{3}{7} \div 4$

____________ 23 How many eighths are there in $3 \frac{5}{8}$

____________ 24 Given a proper fraction, what will produce a bigger number: multiplying both numerator and denominator by 2, or adding 2 to both numerator and denominator?

____________ 25 Write down all common multiples of 9 and 12 which are less than 100.

____________ 26 Round 6% of Php 56.85 to the nearest centavo.

____________ 27 The number 138 is 60% of what number?

____________ 28 What fraction in lowest terms must be multiplied to a number to increase its value by
12%?
____________ 29 Arrange the following numbers from lowest to highest: $\frac{5}{7}$, $71%$, $0.702$

___________ 30 How many pieces of ribbon $\frac{2}{3}$ m long can be cut from a piece of ribbon 8 m long?

____________ 31 A movie lasting 2 hours and 43 minutes ended at 1:25 PM. At what time did the movie start?

____________ 32 A classroom has length 12 m and width 8 m. What is its perimeter in cm?

____________ 33 A blackboard has area 72 sq ft. What is its area in sq yd?

____________ 34 There are 240 Grade 6 students and 320 Grade 5 students in Bagong Pilipinas ElementarySchool. Give the ratio in lowest terms of the number of Grade 6 to Grade 5 students.

____________ 35 The ratio of the number of boys to the number of girls in the class is 7 ∶ 9. If there are 48students in the class, how many more girls are there than boys?

____________ 36 In the following pattern, what is the 175th letter? 𝑀𝐴𝑇𝐻𝑀𝐴𝑇𝐻𝑀𝐴𝑇𝐻𝑀𝐴𝑇𝐻 …

____________ 37 Four-sevenths of a grade six class are boys and $\frac{3}{4}$ of these boys are 12 years old. What
fraction of the class are 12 years old boys?

____________ 38 If the square in the grid has area 1 sq cm, what is the area of the shaded polygon?

____________ 39 Kyle’s car uses 5 liters of gasoline per 150 km. How far can Kyle drive on 3.5 liters of gasoline?

____________ 40 The area of a rectangle is 50 sq cm. If both length and width are increased by 10%, what is the area of the resulting rectangle?

____________ 41 A t-shirt was marked Php 300.00. Roland bought it at 20% discount and sold it at 15% profit. How much did he sell the t-shirt for?

____________ 42 A ball bounces $\frac{2}{3}$ of the distance it has fallen. If a ball is dropped from a height of 18 ft, how high will it go on the third bounce?
____________ 43 The average of 30, 42, 𝑁, 50 is 38. What is the value of 𝑁?

____________ 44 August 12, 2018 can be written as 8-12-18. If the hyphens are ignored, it reads the same forward and backward. We call August 12, 2018 a palindromic date. How many palindromic dates are there in 2018?

____________ 45 Megan’s book has 150 pages. How many times does the digit 8 appear on the page numbers
of the book?

____________ 46 How many two-digit numbers are divisible by 3?

____________ 47 What is the sum of all proper fractions with denominators less than 6?

____________ 48 Carlo was born in January. This year, Carlo’s age is the same as the date of his birthday. If Carlo’s age is divisible by 5 and the sum of the digits (more than one digit) of his age is aprime number, how old could Carlo be?

____________ 49 Give a fraction in lowest terms, with lowest denominator and which lies between $\frac{2}{3}$ and $\frac{3}{5}$

____________ 50 A number 𝑁 is divisible by 10 but not by 25. If 𝑁 has three digits and has only two prime factors, what is the highest possible value of 𝑁?