Questions for Math Bee

Questions for practice exam 1

Phase 1

  1. John has twice as many marbles as Anna. Together, they have 45 marbles. How many marbles does John have?
  2. A rectangular garden has a length of 15 meters and a width of 8 meters. What is the perimeter of the garden?
  3. There are 24 students in a class. If 1/3 of them are girls, how many boys are there?
  4. A bookshelf has 5 shelves, each containing 9 books. How many books are there in total on the bookshelf?
  5. Alex bought 4 packs of pens, with each pack containing 6 pens. How many pens did Alex buy?
  6. A train travels 240 kilometers in 3 hours. What is its average speed in kilometers per hour?
  7. Mia has $18. She wants to buy a toy that costs $12. How much money will she have left after buying the toy?
  8. In a restaurant, a group of 8 friends decided to split the bill evenly. If the total bill came to $96, how much does each person owe?
  9. A pizza is cut into 10 equal slices. If Jane eats 3 slices and Mike eats 2 slices, what fraction of the pizza remains?
  10. A box contains 24 red balls, 36 blue balls, and 18 green balls. What is the total number of balls in the box?
  11. James bought a bike for $240 and sold it later at a 20% profit. How much did he sell the bike for?
  12. Sarah has 3 times as many stickers as Tom. Together, they have 32 stickers. How many stickers does Sarah have?
  13. There are 60 students in a school club. If 3/5 of them are boys, how many girls are there?
  14. A recipe calls for 3 cups of flour. If Jessica wants to make 4 batches of the recipe, how many cups of flour does she need in total?
  15. A car travels at a speed of 60 miles per hour. How far will it travel in 2.5 hours?
  16. A box contains 5 red marbles, 4 blue marbles, and 3 green marbles. If one marble is drawn at random, what is the probability that it is red?
  17. The perimeter of a square garden is 36 meters. What is the length of each side of the garden?
  18. Emily saved $45 this month and plans to save the same amount each month. How much will she save in 8 months?
  19. There are 36 students in a class. If 1/4 of them are absent, how many students are present?
  20. A recipe for cookies requires 2 cups of sugar. If Sophie wants to make 3 batches of cookies, how many cups of sugar does she need in total?

Phase 2

  1. Sarah and Tom decide to bake a cake together. They split the cake into 5 equal pieces. Sarah eats 1/3 of her share and gives 1/2 of what remains to Tom. How much of the whole cake did Sarah end up eating?
  2. Michael plays darts where each dart can score 3, 4, or 7 points. In two rounds of three darts each, he scores the same total points each time. Which of the following totals is not possible for him to score in one round? (a) 15, (b) 18, (c) 22, (d) 27.
  3. Emily sells lemonade at a school fair. She earns $0.50 for each cup of lemonade sold. To buy a new bicycle costing $80, she needs to save up enough money after paying her parents back $15 for the lemonade and cups. If she has already sold 145 cups of lemonade, how many more cups does she need to sell to afford the bicycle and repay her parents?
  4. Amy has 24 Pokemon cards. Ben has twice as many cards as Amy but half as many as Cindy. How many cards do they have altogether?
  5. Karen folds a piece of paper in half repeatedly, making a hole each time after folding. After unfolding it completely, how many holes will the paper have?
  6. The bus arrives at the stop every 15 minutes starting from 8:00 am. If you arrive at the stop at 9:20 am, how long will you wait for the next bus?
  7. There are 30 children in a line. If Sam is 12th from the front and Jane is 7th from the back, how many children are between Sam and Jane?
  8. Andy is building a wire fence around his rectangular garden, which is 12 feet by 20 feet. How many feet of fencing will he need?
  9. A ball is dropped from a height of 60 feet. Each time it bounces, it reaches half of the height of the previous bounce. After 3 bounces, how high does the ball bounce?
  10. Two containers hold 8 liters 450 mL and 5 liters 320 mL of water. When poured into a third container containing 3 liters 750 mL of water, how much water is in the third container now?
  11. Mike is 15 years old. His sister Sarah is 6 years younger than Mike, and their cousin Ben is 4 years older than Sarah. How old is Ben?
  12. A room is 18 feet long and 12 feet wide. How many square tiles, each measuring 1 foot by 1 foot, are needed to cover the floor?
  13. Jack has 4 quarters, 6 dimes, and 8 nickels in his wallet. How much money does he have in total?
  14. A train travels at a speed of 50 miles per hour. How long will it take to travel 150 miles?
  15. A box contains 24 chocolates. If 1/4 of the chocolates are dark chocolate and the rest are milk chocolate, how many are milk chocolates?
  16. A car travels at an average speed of 65 miles per hour. How far will it travel in 2.5 hours?
  17. A triangle has a base of 8 meters and a height of 6 meters. What is the area of the triangle?
  18. A computer program is 3.5 gigabytes in size. If a download speed is 2 megabytes per second, how many seconds will it take to download the program?
  19. A cylindrical tank has a radius of 5 feet and a height of 10 feet. What is the volume of water the tank can hold in cubic feet?
  20. The ratio of apples to oranges in a basket is 3:2. If there are 15 oranges, how many apples are there?

Questions from Solutions Day

  1. John orders one whole pizza and upon receiving it he decides to share 1/4 of the pizza between him and his friend Mark and the other 3/4 will be saved for later. John then gives 1/3 of the amount of pizza he wanted to share between Mark and himself to Mark. How much of the entire whole pizza did John give Mark?
  2. On a dart board, you can score 2, 3, or 5 with each dart. Jean takes two rounds and hits the board with all three darts both rounds. Which of the following total scores is not possible to make? (a) 10, (b) 12, (c) 18, and (d) 30.
  3. You started a lemonade stand and earn a quarter for each cup of lemonade. You started this stand to buy your friend a birthday present that costs 30 dollars. Your parents helped buy the lemonade and cups for 5 dollars. You sold 117 cups. How many more cups do you need to sell to buy the present and pay back your parents?
  4. Mandy had 24 Pokemon Go cards. Randy had double the cards as Mandy but a third as many cards as Sandy. How many Pokemon cards do they have altogether?
  5. Karol folds a sheet of paper in half and then repeats this four more times. Then he makes a hole in the folded paper. How many holes does the sheet of paper have after unfolding?
  6. Bus number 15 arrives at my bus stop on time at 10 minutes past the hour, and then every 20 minutes until 9:10pm. If I arrive at the bus stop to catch the bus number 15 at 9:35am, how many minutes will I wait for the next bus?
  7. There are 30 children in a line. Lia is 12th in line from the front. Jack is 5th from the back of the line. How many children are between Lia and Jack?
  8. Sam is building a wire fence around his rectangular vegetable garden. The garden measures 5 yards by 7 yards. How much wire fencing will he need in feet?
  9. Shirley dropped a ball from a height of 50 feet. Each time the ball bounced half as high. After 3 bounces, the ball reached a height of ______ feet?
  10. Two containers containing 6 liters 58 mL and 4 liters 810 mL of water respectively are poured into a third container containing 5 liters 932 mL of water. How much water is there in the third container now in liters?

Question set 1

  1. * What are the next two numbers in the pattern? 107, 102, 51, 46, 23, 18, ___ , ___
  2. * What are the next three numbers in the pattern? 4, 5, 9, 10, 16, 17, 25, 26, ___ , ___ , ___
  3. * There are 12 rows of seats in a cinema. There are 10 seats in the first row, 12 seats in the second row, 14 seats in the third row, and so forth. How many seats are there in the cinema altogether?
  4. * Danny read a book which had 1000 pages. He read 50 pages on the first day. Thereafter, every day, he read 20 pages more than what he had read the previous day. How many days did he take to finish reading the book?
  5. * A soccer league has 11 teams from 11 different cities. Every team plays a game in their home city against every other team. How many games will be played in total in the league?
  6. * A number is multiplied by 10, and 15 is added to the product. The sum is divided by 2, and the original number is subtracted five times from the quotient. What is the final answer?
  7. * Cindy and Elaine had $60 altogether. If Cindy gave Elaine $12, and Elaine gave Cindy $10, Cindy would have three times as much money as Elaine. How much money did each of them have at first?
  8. * Alice used $8 to buy a comic. She used a third of the remaining money to buy a magazine. Lastly, she used $5 more than half of the remaining money to buy a pen. She was left with $50. How much money did Alice have at first?
  9. * A school had 250 children, each of whom was a member of either a cricket team or a kabbadi team. Every cricket team has 11 players. Every kabaddi team has 7 players. There are 30 teams in all. Find the number of cricket teams and the number of kabaddi teams.
  10. * There are 60 questions on a math test. All questions must be answered. 10 points are awarded for every correct answer. 4 points will be deducted for a wrong answer. If Amy scores 488 points, how many questions does she answer correctly?
  11. 12 students stood in a square formation, with 1 student at every corner. Between every pair of adjacent students, 5 equally spaced out poles were placed, 1 meter apart from each other. What is the area of the square?
  12. Trees are planted at regular intervals along a road. If Penny takes 1 hour to walk from the first tree to the seventh tree and if she walks at a constant rate, how much longer will it take her to reach the 25th tree?
  13. * There are 500 students in a school. At the school assembly, they line up in 20 rows, with a gap of 50 cm between any two adjacent students in a row. How long is each row? Express your answer in meters.
  14. The circumference of a lake is 1 km. Trees are planted at regular intervals of 4 m around the lake. How many trees are planted around the lake?
  15. * 81 plum trees are planted along a stretch of road with trees planted at either end of the road. The distance between each pair of neighboring trees is 4 m. On the opposite side of the road, pine trees are planted at regular intervals of 5 m, with trees planted at either end of the road. How many pine trees are planted on this side of the road.