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 ? so that 326?38 < 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.

8.) What is the place value of the underlined digit of 40025?

9.) How many twenty thousands make up 500000?

10.) What is the largest 2-digit number whose ones digit is twice its tens digit?

11.) A factory manufactured 84 455 toy cars in October and 175 341 in November. At the end of December there were only 672 toy cars left in the factory. How many toys were sold?

12.) What is the GCF of 96 and 144?

13.)What is the LCD of the fractions $\frac{3}{5}$, $\frac{7}{12}$ and $\frac{3}{8}$?

14.) Express $4 \frac{4}{6}$ as an improper fraction.

15.) Express 2.4 as a mixed fraction.

16.) Find the sum of 0.25 and $\frac{3}{5}$.

17.) When $\frac{1}{4}$ is added to another fraction, the result is $\frac{3}{5}$ . What is the other fraction?

18.) Six pupils bought 5 cookies each. If they gave away half of the cookies, how many cookies are left?

19.) I am thinking of a number. One-fourth of my number plus 10 equals 16. What is my number?

20.) What is 1 more than twice the sum of 5 and 6?

21.) Which of the following numbers has the greatest value: 15%, 0.1,  $\frac{3}{25}$ ?

22.) Which of the following numbers has the least value: 15%, 0.1, $\frac{3}{25}$?

23.) Fifteen is 10% of what number?

24.) 0.25 ÷ 0.2 = _____

25.) If a woman works for $3 \frac{1}{2}$ hours per day, she can finish a piece of work in 10 days. How many hours per day should she work to finish the same piece of work in 7 days?

26.) One meter of ribbon (any color) is Php18. Rica bought 2.5 m of red ribbon, 3.25 m of blue ribbons, and 6 m of white ribbon. How much did Rica pay for these ribbons?

27.) The perimeter of a rectangle is 36cm, and its length is 12.2 cm. What is its width?

28.) A pair of shoes is sold at 15% discount. If the original price is Php 1500, what is its new price?

29.) What is ? if 4∶6=16∶(3×?)?

30.) The radii of two circles are in the ratio 5 ∶ 8. What is the ratio of their circumferences?

31.) Renzo can walk $17 \frac{1}{2}$ km in 3 hours. At the same rate, how far can he walk in 4 hours?

32.) The ratio of two numbers is 2 ∶ 5, and their difference is 27. What is the larger number?

33.)The measures of the angles of a triangle are in the ratio 1∶3∶6. What is the largest angle?

34.) The perimeter of an isosceles triangle is 45 cm. If the base is 10cm, how long is each leg?

35.) If the supplement of an angle measures 102∘,what is the measure of its complement?

36.) A wall clock is shaped in a regular hexagon, 25 cm on each side. Find its perimeter in decimeters.

37.) What is 4.75 $m^2$ in $cm^2$?

38,) The volume of a cube is 512 $cm^3$.What is its surface area?

39.) How many 5 cm square tiles are needed to tile the floor of a bathroom 1.8 cm wide and 2.2 cm long?

40.) A step of a man is 0.4m. He can make 50 steps per minute.At this rate, how many minutes will it take to walk 1 km?

41.) Ana collected 3 rubber bands on Monday, and plans to collect twice as many rubber bands the next day as the previous day. How many rubber bands should she collect the next Monday?

42.) If you add 19 to this 4-digit number, you get the least 5-digit number. What is this 4-digit number?

43.) From one end of our street,our house is the 14th. It is the 19th house from the other end. How many houses are there on our street?

44.) The area of a trapezoid is 60 $cm^2$. Its height is 12 cm, while its shorter base is 3 cm. How long is the other base?

45.) How many three-digit even numbers can be formed from the digits 3, 2, 0, and 7 if each digit can be used at most once?

46.) If today is a Friday,what day of the week is 100 days from now?

47.) I spent $\frac{1}{3}$ of my money on Friday, and $\frac{1}{4}$ of my remaining money on Saturday. Then I gave Php 12 to my younger brother, I had exactly Php 63 left. How much money did I have at first?

48.) A rectangular cardboard, 13 cm by 50 cm, is cut into smaller squares. What is the least number of such square pieces?

48.) A 40cm × 30cm × 21 cm rectangular block is completely submerged in a box containing water without it spilling over. If the container’s base is 105 cm × 60 cm, by how much will the water level go down if the block is removed?

50.) What is the smallest 4-digit prime number?