Mathematics 1 (563-106) June 2013 Mathematics Secondary 1 Competency Two Uses Mathematical Reasoning Question Booklet (A, B) Instructions 1. Write all the required information in the Student Booklet. Answers written in this Question Booklet will not be evaluated; only the Student Booklet will be evaluated. 2. There are three parts to this evaluation situation. Part A consists of six multiple-choice questions. Part B consists of four short-answer questions. Part C consists of six application situations. Part A and Part B questions are found in this Question Booklet. Part C is found only in the Student Booklet. 3. Permitted materials Note: Geometry set (ruler, compass, set square, protractor) Calculator (with or without graphic display) Handwritten memory aid prepared by the student prior to the evaluation situation. The memory aid consists of one letter-sized sheet of paper (8½” x 11”). Both sides of the sheet may be used. Any mechanical reproduction of this memory aid cannot be used. Figures have not necessarily been drawn to scale. Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 1 Part A Questions 1 to 6 Each question in this part of the examination is worth 4 marks. In the Student Booklet, fill in the box under the letter that corresponds to your answer. 1. Max conducted a survey amongst the aliens to know more about their eating habits. The data from the survey is shown in the following vertical bar graph: Percentage The Aliens’ Eating Habits 100 90 80 70 60 50 40 30 20 10 Vegetables Fruit Meat Grains Dairy Type of Food Which of the statements below is FALSE? A) The aliens do not eat meat and they like grains a little. B) Fruits and Vegetables represent on average 70% of the aliens’ diet. C) The range between the Fruit and Vegetables is 25%. D) The aliens prefer Dairy over Grains. Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 2 2. A spaceship just came back from a three week voyage. The first week, the spaceship traveled 23 437 km. The second week the spaceship traveled 2487 km more than it did the first week. For the third week, the spaceship traveled two times more kilometres than the first week. How many total kilometres did the spaceship travel? A) 72 798 km C) 54 335 km B) 96 235 km D) 96 325 km 3. The drawing below represents a wooded property that must be fenced in. The perimeter of the fence is 337 m. 0.18 km 2m 0.4 hm ? 230 dm 8 dam What is the length of the missing side? A) 120 m C) 0.12 m B) 12 m D) 1.2 m Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 3 4. Simply the following expression, respecting the order of operations: 2 1 1 5 120 % 0.75 2 A) 8 1 4 C) 1 17 20 B) 7 3 4 D) 8 1 2 5. Diego must travel 10.75 km by taxi. The initial charge is $3.30 and then Diego must pay $1.60 for each kilometre he travels. How much will he pay for the taxi? A) $37.08 C) $16.03 B) $52.68 D) $20.50 6. Jessie wants to buy a laptop computer which is advertised at $310.70. The store offers a 25% rebate on the advertised price. When Jessie gets to the cash, an additional discount of 15% is offered on the already reduced price. How much does the computer cost after both discounts (excluding taxes)? (Round your answer to the nearest hundredth) A) $186.42 C) $212.52 B) $198.07 D) $237.20 Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 4 Part B Questions 7 to 10 Each question in this part of the examination is worth 4 marks. In the Student Booklet, write your answer in the space provided. 7. Construct a trapezoid with an area of 24 cm2 and a height of 6 cm. 8. Draw the following lines on triangle ABC: a) the bisector of angle C. b) the altitude from the vertex A. (answer in the student booklet) A C B Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 5 9. Max and his friends enjoy rock climbing. To practice, Max and his three friends went to an interior rock climbing center where there is a 12 metre high wall. Max’s first friend climbs one third of the total height. Max’s second friend climbs 5.3 metres. The last friend starts off strong and climbs halfway up the wall, but then he falls 4.52 metres. What height does Max need to climb to, so that the mean height climbed by Max and his three friends is 4.8 m? 10. Solve each of the following and list the answers in decreasing order. i. 70 – [(-6)2 ÷ (4.7 + 7.3)] ii. -12 ÷ 41 iii. 3 1 4 3 iv. 1 3 6 8 Secondary 1 Competency 2, Question Booklet (A, B) WQSB, June 2013 Page 6