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? 

6.) What percent of 3 kg is 480 g?

7.) Express 84 minutes as a fraction of 4 hours in lowest term.

8.) Using only the number 43, how many times will you use it as a factor to get a product whose ones digit is 7?

9.) Mary has 54 oranges. She gives an equal number of oranges to each of her 13 friends. How many oranges does she have left?

10.) Mother gave Kian and his younger sister Php 2,115.00 to share between them Kian spent Php 778.00 from his share and had Php 271.00 left. How much did Kian’s younger sister have?

11.) A water jar can hold d36 cups of water of 24 glasses of water. If there are already 6 cups and 19 glasses of water in the jar, how many more cups of water can be put in the jar?

12.) There are 42 notebooks that are going to be given equally among 7 children. How many notebooks will each child receive?

13.) Ricky had 24 boxes of chocolate candies. There were 350 chocolate candies in each box. He repacked all the chocolate candies into packs of 70 and sold them at Php 24.00 per pack. How much money did he collect from his total sale?

14.) Annie, Jenny, Sam, and Gerry want to divide a certain number of candies in the corresponding ratio of 1:2:4:6. What is the ratio of the number of Jenny’s candies to the number of Gerry’s candies?

15.) A rectangular tile is 2 cm by 4 cm. What is the area of a square with least number of rectangular tiles that can be placed side by side to form a square?

16.) At a furniture store, a chair was sold Php 475.00 less than a side table and Php 278.00 more than a kitchen dish cabinet. The total cost of the 3 items was Php 4,175.00. What was the selling price of the side table?

17.) In a box factory, Ian finished 5 boxes in 2 hours while Joey finished 10 boxes in 3 hours. If they work at the same rate, how many boxes can they finish together in 12 hours?

18.) Mother had 168 kg of flour. She packed it into 7/10 kg per pack 3/5 of the packs of flour were sold to Tasing of Php 3.60 per pack. How much money did Tasing pay for the flour?

19.) Dario gave 1/3 of his oranges to his brother and donated 160 oranges to children in the neighborhood. He found that he had 240 oranges left. What fraction of the oranges did Dario have left? Express your answer in lowest term?

20.) What is the missing number in the sequence? 1, 4, 4, 7, 10, 16, 25, 40, ____

21.) Uncle Tirso had some fruits, 5/9 of the fruits were oranges, 1/3 of the remaining fruits were apples. The rest were guavas. What fraction of the fruits were guavas?

22.) Tony subtracted a number from 21. He then multiplied the difference by 3 and divided the product by 8. If the quotient was 6, what was the number?

23.) The price of a kilogram of fish increased 3 1/2 times during summer. How many percent was the increase?

24.) If 4/7 of a number is 112, what is 7/4 of the number?

25.) What is the difference of 4 and 2 hundredths and 3 and 27 thousandths?

26.) If 25 + __ – 115 = 75, what number is in __?

27.) Basha bought 8 t-shirts and 5 pairs of short pants for Php 1, 062.00. Each pair of short pants costs twice as much as a t-shirt. How much is the cost of the t-shirt?

28.) Each box contains 48 candies. Out of 77 boxes of candies, 29 were sold. The remaining boxes of candies were repacked in packs of 50. How many packs of 50 candies were there?

29.) The ratio of two numbers is 7:9. If their sum is 192, what is their difference?

30.) Pens are sold in bundles of 25. For every 5 bundles of pens that you buy, you will get an extra of 3 pens. If you want to buy 364 pens for your friends, how many bundles of pens must you buy?

31.) Three squares are placed together to form a rectangle. If each square has an area of 9 cm2, what is the perimeter of the rectangle formed?

32.) When Tessa bought a glass of juice for Php 25.00 and a sandwich for Php 48.00, she still had Php 68.00 left in her wallet. How much money did Tessa have at the beginning?

33.) The volume of a rectangular block is 3, 000 dm3. What is its volume in cm3?

34.) A baker packed 29 boxes of 9 cupcakes each pack and had 3 cupcakes left. How many more boxes of cupcakes would he get if he packed 3 cupcakes into each box instead?
35.) The product of 2 two-digit number is 351. What is their sum?

36.) How many 25 thousandths are there in 5/8?

37.) What is the sum of the digits in the product of 23 hundreds and 2 tens?

38.) What is the sum of 3 consecutive odd numbers if the largest of these numbers is 19?

39.) A tank has a capacity of 50 liters. How many seconds will it be filled if its flow rate is 2.5 liters per second?

40.) Lito is weighing his school bag. He says “If I add 725 grams, it will weigh 2 kilograms.” How many grams does his bag weigh?

41.) There are 36 packs of candies in a box. The packs of candies are divided equally among 4 children. How many packs will each child receive?

42.) Twenty seven apples are put in boxes. There are 6 boxes. How many boxes contain exactly the same number of apples?

43.) Liza has read 4/5 of the total number of pages of a book. Today, she reads 21 pages. She still needs to read 1/10 of the total number of pages to finish reading the book. How many pages does the book have?

44.) Teresa has 53 apples. She is going to give them equally to 13 children. How many more apples does she need so that each child will receive 6 apples?

45.) A container holds 8 times the amount of water in a cup that holds 2 deciliters of water. How many deciliters of water can be poured into the container?

46.) The sum of 2 numbers is 100. Their difference is 20. What is the quotient when the bigger number is divided by the smaller number?

47.) Betty has Php 60.00 and Nena has Php 120.00. How much money must Betty give to Nena so that the amount of money Nena has is 5 times that of Betty?

48.) There are 99 1-cm cubes. If the cubes are arranged to form 3 cubes of different sizes. What is the length of the sides of the smallest cube formed?

49.) What is the 49th number in the 4, 11, 18, 25, 32, 39,…?

50.) Kate collects coins. Every day, she gets additional coins. On every fourth day, she gives 4 coins to her sister. If Kate started with 24 coins, on which day will Kate have 70 coins?

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