Mahajana Mathematics Competition Sample Grade 6 Part A (10 questions, each question is worth 2 marks) 1. Look at the addition on the right The above addition equal to A) 1 B) 1.23 C) 3 D) 1.223333 2. Which of the following expression is equal to 128 ÷ 2? A) (120 ÷ 2) + (8 ÷ 2) B) (120 ÷ 2) ÷ (8 ÷ 2) C) (120 +2) + (8 +2) D) (120 + 2) ÷ (8 + 2) 3. Chandra, Brinta, Ken and Dharson buy different sandwiches and salad for lunch. Their choices are shown below. Chandra Brinta Ken Dharson Salad $4.48 $4.48 $3.49 $3.49 Sandwiches $3.99 $4.99 $4.99 $3.99 Which person should receive about $2.50 change from $10.00? A) Chandra 4. (B) Brinta (C) Ken (D) Dharson Consider 5 terms in the following pattern If the pattern continues same way, how many circles will be in the seventh term? A) 21 (B) 25 (C) 28 (D) 36 Mahajana Mathematics Competition Sample Grade 6 5. Rebecca creates a net of a rectangular prism as shown below. 5 cm 5cm 30 cm 5 cm 5 cm What is the total surface area of the rectangular prism? A) 450 cm2 (B) 600 cm2 (C) 650 cm2 (D) 750 cm2 6. Amir’s class has 24 students. There are 15 boys in the class. Which of the following represents the ratio of girls to boys? A) 24:9 (B) 9:24 C) 3:5 (D) 5:3 7. Mohana got in her car and started driving toward her grandmother's house. After driving for 1 hour and 30 minutes, Mohana took a break for 1 hour to have a snack. Then Mohana drove 2 hours and 30 minutes and finally arrived at her grandmother's house at 12:00 P.M. What time did Mohana start driving? A) 8.30 AM (B) 11.30 AM (C) 11.00 AM (D) 7.00 AM Mahajana Mathematics Competition Sample Grade 6 8. Chandran, Prabu and Kamal share the cost of renting the video game. Chandran pays 0.4 of the cost Prabu pays 36% of the cost Kamal pays remainder of the cost What fraction of the cost does Kamal pay? A) 6/25 (B) 9/25 (C) 19/25 (D) 24/25 9. Which rule describes the following pattern 1, 2, 4, 8, 16, 32 … A) Start with 1 and add 1 to find the next term B) Start with 1 and add 2 to find the next term C) Start with 1 and divide by 2 to find the next term D) Start with 1 and multiply by 2 to find the next term 10. Look at the back of an envelope is shown below. The best statement describes the back of the envelope is A) 4 rectangles and 4 isosceles triangles B) Four equilateral triangles C) a rectangle with two diagonals D) a parallelogram and 4triangles Mahajana Mathematics Competition Sample Grade 6 Part B (10 questions, each question is worth 4 marks) 11. The spinner below has 8 equal sized sections The spinner is spun one time. What is the probability that arrow will land in a section with the number greater than 3? (A) 0.125 (B) 0.250 (C) 0.625 (D) 0.750 12. Julie records the amount of rainfall at her school for one week in spring. The mean amount of rainfall for the week is (A) 20 mm (B) 22 mm (C) 23 mm D) 25 mm 13. The graph below shows the mean daytime temperature for Windsor. Which month has a daytime temperature that is twice the April’s? (A) July (B) August (C) September (D) October Mahajana Mathematics Competition Sample Grade 6 14. Look at the triangle below and a parallelogram is drawn as shown. The expression can be used to find the area of the shaded region is (A) 54 ÷ 2 – 12 (B) 54 - 4 X 12 ÷ 2 (C) 12 ÷ 2 – 54 (D) 12 - 54 ÷ 2 15. In St Mary’s College the sports teacher wants to pick team for a game. The sports teacher puts the name of 8 boys and 6 girls in a bag as shown below. The table shows the names of boys and girls. The first 3 names picked at random from the bag were Paul, Jessica and Sarah. The names are not put back in. The probability that the next name picked at random will be a boy is (A) 1 / 2 (B) 7/11 (C) 1/7 (D) 8/14 Mahajana Mathematics Competition Sample Grade 6 16. Polygon PQRT is rotated 90 clockwise about point Q. What are the new coordinates of point R after this rotation? (A) (6, 7) (B) (7, 6) (C) (11, 2) (D) (11, 6) 17. In the following equations, the letters x, y and z are real numbers. The numerical value of x + y + z is (A) 58 (B) 110 (C) 75 (D) 77 18. The table below shows the width and height of 5 towers made of blocks If the tower continues to be built using the same pattern, for which tower will difference between the width and the height be 7 blocks? (A) Tower 7 (B) Tower 8 (C) Tower 9 (D) Tower 10 Mahajana Mathematics Competition Sample Grade 6 19. Look at this stem-and-leaf plot: Game show scores Stem 4 5 6 7 8 Leaf 0489 25 1289 14477 046 How many people scored at least 47 points? (A) 18 (B) 20 (C) 16 (D) 15 20. In McMillan Junior High School, Miss. Jeya was the English teacher for grade 7 class? The bar graph shows the number of pages boys and girls in Miss Jeya’s class read in one week. Which conclusion can be made about the number of pages made during one week? (a) The boys read more pages than girls during this week (b) The girls read more pages than boys during this week (c) The students read more pages on Tuesday than on Monday (d) The girls and boys read the same number of pages during this week Mahajana Mathematics Competition Sample Grade 6 Part C (5 Questions, each question is worth 6 marks) 21. Look at the triangle on the right side. The value of the angle z in degrees is (A) 1200 (B) 1800 (C) 600 (D) 1500 22. Bridle Town Circle Mall Ice cream shop’s pictograph shows the number of students who choose the different ice cream flavour as their favorite to eat. The BAR GRAPH on right best represents the Bridle Town Circle Mall Ice cream shop’s Pictograph data is Mahajana Mathematics Competition Sample Grade 6 23. A carpenter is replacing some missing steps at the front of Mohan’s house. The steps have uniform height and width. In Mohan’s house, the bottom three steps are missing. He wants to use the same heights for the new steps as the old steps. The carpenter measures the height from the ground to the top of each remaining step. • The fourth step is 66 cm from the ground. • The fifth step is 82.5 cm from the ground. • The sixth step is 99 cm from the ground. The carpenter plans to make each step increase by the same amount. The heights of the second step from the ground is A) 16 cm B) 33 cm C) 41 cm D) 32.5 cm 24. KULAN was walking home from school when he realized he had forgotten his homework in his locker in the school. He walked back to the school, picked up his homework and then walked home. The graph shows KULAN walking distance from school to home at different times. The total distance walked by KULAN from school to home is (A) 2800 m (B) 1000 m (C) 800 m D) 1400 m Mahajana Mathematics Competition Sample Grade 6 25. The Figure1, Figure 2, Figure 3and showing arrangements of square tiles tile is represented by Figure 4 below and each square More Figures can be drawn like above, each Figure having one row of tiles more than the previous Figure. The number of tiles in Figure 6 is A) 16 B) 25 C) 36 D) 49 BONUS QUESTION (10 Marks) Twelve cubes measuring 3 cm by 3 cm by 3 cm fit perfectly into the rectangular box shown below. Find the possible length, width and height of the box in cm. Show your work. Good Luck!