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[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)

Fill in these boxes and read what is printed below.

Full name of school or college Town

First name and initials Surname

Date of birth Day Month Year

1 Answer as many questions as you can.

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.

3 Full credit will be given only where the solution contains appropriate working.

4 You may use a calculator.

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.

This test paper must be withdrawn from candidates after the examination and any follow-up discussion of marks/grades awarded.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.

[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.

Write this number in scientific notation.

2 2. Stephen is going to a football match in Manchester. He lives in Glasgow 225 miles away.

(a) If Stephen travels at an average speed of 60mph, how long will the journey take?

Give your answer in hours and minutes.

3 (b) What time will Stephen need to leave Glasgow to arrive in Manchester by 2pm?

3. Assim entered a golf tournament. His scores were 73, 76, 68 and 70.

(a) What is Assim’s average score?

2 (b) If Bart’s average score was 71.5 who won the golf tournament?

[MATH(I1)06P2] http://www.perfectpapers.net [Turn over

[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.

(a) How much does the car cost using the hire purchase method?

3 (b) How much cheaper is it to pay cash?

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.

225 cm



200 cm Is this ramp safe?

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

Round your answer to one decimal point

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

. ladder 5 m

Michael has a 6m long ladder, is this long enough to reach the roof?

4 Page 7 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over

[MATH(I1)06P2] http://www.perfectpapers.net Marks 8. Solve the following:

14t- 5 = 2 t + 31

3 9. The following information shows the snowfall (in cm) for 7 days in Aviemore.

Day Mon Tue Wed Thu Fri Sat Sun Snowfall (cm) 2 3 4.5 4.2 5 3.4 3.8

(a) Using the information given draw a line graph to show the snowfall over a 7 day period.

(b) Calculate the median snowfall in cm.

[MATH(I1)06P2] http://www.perfectpapers.net 2

[MATH(I1)06P2] http://www.perfectpapers.net Marks 10. Given that the equation of a straight line is y=4 x - 1.

(a) Complete the table.

x 0 1 2 3 y -1 2

(b) Plot the points and join them to give the graph of a straight line.

11. Linda invests £3,000 at an interest rate of 4.8% per annum.

After 5 months she decides to withdraw her money.

Calculate the amount of interest earned in this time.

[MATH(I1)06P2] http://www.perfectpapers.net [Turn over

[MATH(I1)06P2] http://www.perfectpapers.net . Marks 12. A formula used to calculate velocity is: v2= u 2 + 2 as .

By using u=7, a = 3.1 and s = 5.3 calculate the velocity, v , to the nearest whole number.

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.

a) How much have the attendances risen by?

1 b) Calculate the percentage increase.

3 [End of question paper]

[MATH(I1)06P2] http://www.perfectpapers.net Additional space for answers Marks

[MATH(I1)06P2] http://www.perfectpapers.net Page 16 [MATH(I1)06P2] http://www.perfectpapers.net Total Marks

[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

Fill in these boxes and read what is printed below.

Full name of school or college Town

First name and initials Surname

Date of birth Day Month Year

1 Answer as many questions as you can.

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.

3 Full credit will be given only where the solution contains appropriate working.

4 You may NOT use a calculator.

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.

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.

[MATH(I1)06P2] http://www.perfectpapers.net 1. Marks (a) Calculate: 25% of £146.40

1 (b) 3 Calculate: of 136 8

1 2. Pepe’s Restaurant wants a 8 m2 sign designed

The Sign writer charges £240 for 5 m2.

(a) How much will it cost Pepe to have his 8 m2 sign designed?

3 (b) Another restaurant’s sign costs £360. What is the area of the sign?

2 3. Multiply the brackets and simplify

4x- 3(5 x + 6) - 2

[MATH(I1)06P2] http://www.perfectpapers.net . Marks 4. Rod is buying sweets for Jane.

He buys 6 red, 4 yellow, 9 blue and 11 green

(a) What is the probability of choosing a blue sweet at random?

1 (b) Jane eats the blue sweet and decides she would like another.

What is the probability she picks ANOTHER blue sweet.

2 5. Evaluate x when x =81

6. Gillian went on holiday to Hungary. The exchange rate was 350 Forints = £1.00

(a) How many Forints did Gillian receive for £200

2 (b) Gillian spent 50,000 Forints whilst in Hungary. The exchange rate had changed to 400 Forints = £1.00

How much did Gillian have left in £’s?

3 Page 3 [MATH(I1)06P2] http://www.perfectpapers.net [Turn over

[MATH(I1)06P2] http://www.perfectpapers.net Marks 7. The following data represents the temperature in sixteen capital cities in Europe.

8 33 6 11 8 17 12 23 25 9 31 19 35 32 24 21

(a) Complete the stem and leaf diagram below:-

0 1 2 3 n= key: 3 (b) Calculate the range of temperatures.

8. (a) Solve the inequality 5x - 4 16

2 (b) Factorise 12p + 8

[MATH(I1)06P2] http://www.perfectpapers.net Marks 9. Find the perimeter of the rectangle when s = 4 and t = 8.1

2 10. (a) Find 8 - (-3)

1 (b) (-32) ÷ (-4)

[End of Question Paper]

[MATH(I1)06P2] http://www.perfectpapers.net