<p> Total Marks</p><p>[MATH(I1)05P2] NATIONAL T i m e : 5 5 m i n u t e s MATHEMATICS QUALIFICATIONS INTERMEDIATE 1 Question Paper 2 (Units 1, 2, 3)</p><p>Fill in these boxes and read what is printed below.</p><p>Full name of school or college Town</p><p>First name and initials Surname</p><p>Date of birth Day Month Year</p><p>1 Answer as many questions as you can.</p><p>2 Write your working and answers in the spaces provided. Additional space is provided at the end of this question-answer book for use if required. If you use this space, write clearly the number of the question involved.</p><p>3 Full credit will be given only where the solution contains appropriate working.</p><p>4 You may use a calculator.</p><p>5 Before leaving the examination room you must give this book to the invigilator. If you do not you may lose all the marks for this paper.</p><p>This test paper must be withdrawn from candidates after the examination and any follow-up discussion of marks/grades awarded. This is to ensure the ‘sight unseen’ status of this paper is maintained for your centre and other schools/colleges during the diet of prelim examinations in 2005/2006. Submission of this test paper for Appeals purposes will assume that these conditions have been applied.</p><p>© 2005 – 2006 Perfect Papers – All rights reserved.</p><p>Page 1 [MATH(I1)06P2] http://www.perfectpapers.net Page 2 [MATH(I1)06P2] http://www.perfectpapers.net Marks 1. A museum has had 4,230,000 visitors in 2005.</p><p>Write this number in scientific notation.</p><p>2 2. Stephen is going to a football match in Manchester. He lives in Glasgow 225 miles away.</p><p>(a) If Stephen travels at an average speed of 60mph, how long will the journey take? </p><p>Give your answer in hours and minutes.</p><p>3 (b) What time will Stephen need to leave Glasgow to arrive in Manchester by 2pm?</p><p>2</p><p>3. Assim entered a golf tournament. His scores were 73, 76, 68 and 70.</p><p>(a) What is Assim’s average score?</p><p>2 (b) If Bart’s average score was 71.5 who won the golf tournament?</p><p>1</p><p>Page 3 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over</p><p>Page 4 [MATH(I1)06P2] http://www.perfectpapers.net Marks 4. Creechan’s Car Land offers a car for £10,000 cash. The alternative is to pay 15% deposit (of the cash price) and 36 installments of £270 each.</p><p>(a) How much does the car cost using the hire purchase method?</p><p>3 (b) How much cheaper is it to pay cash?</p><p>1 5. An architect is designing an access ramp to a building. The local council recommends that the ramp should not make an angle of more than 20º to the ground for safe access.</p><p>225 cm</p><p></p><p>200 cm Is this ramp safe?</p><p>4 Page 5 [MATH(I1)06P2] http://www.perfectpapers.net Page 6 [MATH(I1)06P2] http://www.perfectpapers.net Marks 6. Calculate the area of the following shape. 2 . 7 m</p><p>3.1m</p><p>Round your answer to one decimal point</p><p>5</p><p>7. Michael needs to fix the slates on his roof. He places the ladder 3m from the bottom of the house. The height of the house is 5.5m. 5</p><p>. ladder 5 m</p><p>3m</p><p>Michael has a 6m long ladder, is this long enough to reach the roof?</p><p>4 Page 7 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over</p><p>Page 8 [MATH(I1)06P2] http://www.perfectpapers.net Marks 8. Solve the following:</p><p>14t- 5 = 2 t + 31</p><p>3 9. The following information shows the snowfall (in cm) for 7 days in Aviemore.</p><p>Day Mon Tue Wed Thu Fri Sat Sun Snowfall (cm) 2 3 4.5 4.2 5 3.4 3.8</p><p>(a) Using the information given draw a line graph to show the snowfall over a 7 day period.</p><p>2</p><p>(b) Calculate the median snowfall in cm.</p><p>Page 9 [MATH(I1)06P2] http://www.perfectpapers.net 2</p><p>Page 10 [MATH(I1)06P2] http://www.perfectpapers.net Marks 10. Given that the equation of a straight line is y=4 x - 1.</p><p>(a) Complete the table.</p><p> x 0 1 2 3 y -1 2</p><p>(b) Plot the points and join them to give the graph of a straight line.</p><p> y</p><p> x</p><p>2</p><p>11. Linda invests £3,000 at an interest rate of 4.8% per annum.</p><p>After 5 months she decides to withdraw her money.</p><p>Calculate the amount of interest earned in this time.</p><p>3</p><p>Page 11 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over</p><p>Page 12 [MATH(I1)06P2] http://www.perfectpapers.net . Marks 12. A formula used to calculate velocity is: v2= u 2 + 2 as .</p><p>By using u=7, a = 3.1 and s = 5.3 calculate the velocity, v , to the nearest whole number.</p><p>3 13. Attendances at Hamilton United’s home games for season 2003/2004 were 24 000. Now in division 1, the attendances have risen to 31,000.</p><p> a) How much have the attendances risen by?</p><p>1 b) Calculate the percentage increase.</p><p>3 [End of question paper]</p><p>Page 13 [MATH(I1)06P2] http://www.perfectpapers.net Additional space for answers Marks</p><p>Page 14 [MATH(I1)06P2] http://www.perfectpapers.net Additional space for answers Marks</p><p>Page 15 [MATH(I1)06P2] http://www.perfectpapers.net Page 16 [MATH(I1)06P2] http://www.perfectpapers.net Total Marks</p><p>[MATH(I1)06P1] NATIONAL T i m e : 3 5 m i n u t e s MATHEMATICS QUALIFICATIONS INTERMEDIATE 1 Question Paper 1 (Units 1, 2, 3) Non-calculator Paper</p><p>Fill in these boxes and read what is printed below.</p><p>Full name of school or college Town</p><p>First name and initials Surname</p><p>Date of birth Day Month Year</p><p>1 Answer as many questions as you can.</p><p>2 Write your working and answers in the spaces provided. Additional space is provided at the end of this question-answer book for use if required. If you use this space, write clearly the number of the question involved.</p><p>3 Full credit will be given only where the solution contains appropriate working.</p><p>4 You may NOT use a calculator.</p><p>5 Before leaving the examination room you must give this book to the invigilator. If you do not you may lose all the marks for this paper.</p><p>This test paper must be withdrawn from candidates after the examination and any follow-up discussion of marks/grades awarded. This is to ensure the ‘sight unseen’ status of this paper is maintained for your centre and other schools/colleges during the diet of prelim examinations in 2005/2006. Submission of this test paper for Appeals purposes will assume that these conditions have been applied.</p><p>© 2005 – 2006 Perfect Papers – All rights reserved.</p><p>Page 1 [MATH(I1)06P2] http://www.perfectpapers.net 1. Marks (a) Calculate: 25% of £146.40</p><p>1 (b) 3 Calculate: of 136 8</p><p>1 2. Pepe’s Restaurant wants a 8 m2 sign designed </p><p>The Sign writer charges £240 for 5 m2.</p><p>(a) How much will it cost Pepe to have his 8 m2 sign designed?</p><p>3 (b) Another restaurant’s sign costs £360. What is the area of the sign?</p><p>2 3. Multiply the brackets and simplify </p><p>4x- 3(5 x + 6) - 2</p><p>3</p><p>Page 2 [MATH(I1)06P2] http://www.perfectpapers.net . Marks 4. Rod is buying sweets for Jane.</p><p>He buys 6 red, 4 yellow, 9 blue and 11 green</p><p>(a) What is the probability of choosing a blue sweet at random?</p><p>1 (b) Jane eats the blue sweet and decides she would like another.</p><p>What is the probability she picks ANOTHER blue sweet.</p><p>2 5. Evaluate x when x =81</p><p>2</p><p>6. Gillian went on holiday to Hungary. The exchange rate was 350 Forints = £1.00</p><p>(a) How many Forints did Gillian receive for £200</p><p>2 (b) Gillian spent 50,000 Forints whilst in Hungary. The exchange rate had changed to 400 Forints = £1.00</p><p>How much did Gillian have left in £’s?</p><p>3 Page 3 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over</p><p>Page 4 [MATH(I1)06P2] http://www.perfectpapers.net Marks 7. The following data represents the temperature in sixteen capital cities in Europe.</p><p>8 33 6 11 8 17 12 23 25 9 31 19 35 32 24 21</p><p>(a) Complete the stem and leaf diagram below:-</p><p>0 1 2 3 n= key: 3 (b) Calculate the range of temperatures.</p><p>1</p><p>8. (a) Solve the inequality 5x - 4 16</p><p>2 (b) Factorise 12p + 8</p><p>2</p><p>Page 5 [MATH(I1)06P2] http://www.perfectpapers.net Marks 9. Find the perimeter of the rectangle when s = 4 and t = 8.1</p><p> s</p><p> t</p><p>2 10. (a) Find 8 - (-3)</p><p>1 (b) (-32) ÷ (-4)</p><p>1</p><p>[End of Question Paper]</p><p>Page 6 [MATH(I1)06P2] http://www.perfectpapers.net</p>