Comprehensive Exam Number 14. Question Booklet. Secondary 1 Math INSTRUCTIONS

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1 Question ooklet Page 1 Mathematics omprehensive Exam Number Question ooklet Secondary 1 Math 2001 INSTRUTIONS 1. Write the required information on the cover page of your nswer ooklet. 2. nswer all questions of this part in the nswer ooklet.. Each question is worth 4 marks. 4. You have 90 minutes to complete this part. 5. You are not permitted to use a calculator for this part of the examination. 6. Note that the figures in this booklet are not necessarily drawn to scale. 7. t the end of the exam, hand in the Question ooklet and the nswer ooklet.

2 Section : ircle the letter that corresponds to your answer. 1 Which one of the following statements is TRUE? ) = 10 ) = 10 ) = 10 D) = 10 2 Which pair is made up of numbers that are the same distance from - on the number line? ) -10 and 6 ) -6 and 6 ) -9 and D) -5 and Given the following five fractions: Which three fractions are equivalent? ) ) 5 2 5, and ), and , and D) , and mong the comparisons of fractions below, which one is FLSE? ) 1 1 > ) 7 8 < ) 5 7 Which one of the following statements is FLSE? 8 > D) = 8 ) parallelogram is a rectangle. ) square is a parallelogram. ) rectangle is a trapezoid. D) rhombus is a quadrilateral Triangle on the right has the following characteristics: F is the height m = 45 Which one of the following statements is TRUE? F ) Triangle F is a right scalene triangle. ) Triangle F is an acute isosceles triangle. ) Triangle F is a right isosceles triangle. D) Triangle F is an equilateral triangle. 7 If you order these numbers from least to greatest, which number will be THIRD? ) ) ) 2.90 D) 2.9

3 8 In the figure on the right, lines E and F intersect at point. Line segment E is the bisector of angle DF and angle D measures 50. D 50 E F What is the measure of angle F? ) 65 ) 115 ) 100 D) 10 9 The table below shows the activities chosen by 50 Secondary 1 students on a sports day. Team Sports Individual Sports ctivity No. of Students Total Volleyball 16 asketball 12 8 Soccer 10 adminton 6 ycling 6 12 Which one of the following statements is TRUE? ) 12% of the students chose basketball. ) 24% of the students chose individual sports. ) 50% of the students chose badminton. D) 66% of the students chose team sports. 10 Jason received $100 for his birthday. He rushed to the mall to take advantage of the NO TX promotion and bought the following. 2.D.'s at $15.99 each T-shirts at $7.99 each 4 bus tickets at $1.25 each Which expression below represents the change he would get from his $100? ) 100 ( ) ) 100 ( ) ) 100 ( ) + ( 7.99) + (4 1.25) D) 100 ( ) 11 alculate the sum of the GF and LM of 24 and 42 ) 4 ) 66 ) 168 D) t the school dance there were 7 girls for every 5 boys. If there were 91 girls, how many boys were there? ) 65 ) 72 ) 99 D) 127

4 Section : Show all of your work and indicate your answer clearly. 1 t 5:00 a.m. last November 15 th, the thermometer read -4. During the course of the day, the following changes in temperature were recorded: and -7 What temperature did the thermometer show after the last reading? 14 omplete the following table: Reduced Fraction Decimal Number Percentage % 15 Which one of the following numbers is the largest? % % 16 alculate the value of each of the following showing all steps: a) (5 + 7 ) (2 8 ) 2 b) -7 (4-6 + ) alculate the value of each of the following showing all steps: a) b) Write an algebraic expression or equation for each of the following statements. a) Six more than twice a number b) The sum of a number and five divided by three c) Half a number plus one is ten less than the number d) The sum of three consecutive numbers is ninety-six

5 19 In the figure on the right, D is a rectangle. ngle OD measures 50. Line segment OF is the bisector of angle OD and the height of triangle OD. Match the reason needed to justify each statement in the calculation of FO. D 50 O F Statement 1. m O = 180 m OD m O = = m DO = m O = 10. m DOF = m FO = 10 = m FO = 180 (m OF + m FO) m FO = 180 ( ) = 25 Reason ) The sum of the interior angles of a triangle is 180. ) In an isosceles triangle, angles opposite congruent sides are congruent. ) djacent angles in a straight line are supplementary. D) The bisector of an angle divides it into two congruent angles. E) Vertically opposite angles are congruent. 20 In parallelogram D on the right, m D = 18 cm, m E = 7 cm and m E = m E = 50 D 18 cm 50 What is the measure of side D? 7 cm E l's Toy arn offers specials to attract customers to the store: fter a storm one night, some of the words on the sign were washed off. l's Toy arn Specials: 20% off uzz Lightyear Woody Reg. price: $24.99 $. Sale price: $. $14.9 alculate the following: a) What is the sale price for uzz Lightyear? b) What was the regular price for Woody?

6 Section : Perform the constructions using straight edge and compass only. 22 ngle is shown below. opy the angle on to the ray ' '. ' ' Write the complete instructions for the steps in the above construction Triangle PQR is shown at the right. onstruct the height from Q. Q P R Write the complete instructions for the steps in the above construction

7 Section D: Show all your work and indicate your answer clearly. oth your work and your answer are taken into account when marks are allotted. No marks are given if acceptable work is not shown, regardless of the answer. 24 The table below shows ranks and terms of a sequence: Rank ? n Term ? 17? a) Write the rule that governs this sequence in terms of n. b) Find the term that corresponds with the rank 6. c) Find the rank of the term equal to The first three figures of a sequence are shown below. How many squares will the 275 th figure contain? 26 Simon, Marie and atherine are all different ages. Simon is twice as old as Marie and atherine is three years older than Simon. The product of their ages is How old is atherine? 27 lexander buys an electric guitar for $1170, which is 4 of the amount he made working last summer. He earned $7.50 an hour and he worked 26 hours a week. How many weeks did lexander work last summer? 28 Steven takes the money from the school's food-andbeverage machines and deposits it into a bank account. On this trip to the bank, he takes $5 in dimes ($0.10) and quarters ($0.25). He has as much money in dimes as he has in quarters. How many coins did Steven take to the bank?

8 29 The figure on the right is made up of polygons. Polygon is a rectangle whose width is 8 cm and whose perimeter is 52 cm. Polygon h Polygon is a square. Polygon is an isosceles triangle. The total height of the figure is 6 cm. Polygon Polygon 8 cm 6 cm What is the measure of the height of the isosceles triangle? 0 Mrs. Leblanc wants to buy some property. She has a choice between the following two lots: - The first lot is in the shape of an equilateral triangle whose perimeter is 90 metres. - The second lot is in the shape of a rectangle. Its width is the same as the measure of a side of the triangular lot. Its length is 5 metres longer than its width. The price of each lot is $.50 per square metre. How much will Mrs. Leblanc pay if she buys the second lot? 1 platform is made of a rectangular box, and a solid ramp built on one side of it with the dimensions as shown below. alculate the exposed area of the shape. Do not include the floor. 6 m 10 m 14 m 8 m 7 m