San Ġorġ Preca CollegeSecondarySchool, Blata l-Bajda
Half-YearlyExaminations - February 2015
Subject: Mathematics / Level: 7-8 / Form: 3 (Track 3) / Time:1hour 30minutes
Main Paper
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Question / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / NonCalculator / Main / Global Mark
Mark
  • Answerallquestions.
  • This papercarries 75 marks.
  • Calculatorsandmathematicalinstrumentsareallowed but ALL necessaryworkingmust be shown.

______

  1. a) Workout the value of. Give your answer as a fraction.

Ans: ______

b) Find the value of nif = 3n

Ans: ______

(2 marks)

  1. a) Expandandsimplify:

(i)(y – 9)2(ii) x(2x – 3) – 4(x2 + 3x)

Ans: ______Ans: ______

  1. b) Factorisecompletely : 6mt2 – 3mt + 9m2t

Ans: ______

(5 marks)

3. a) Workout the value of (1.4 × 10-3) + (5.8 × 10-2). Giveyouransweras an ordinary

number.

Ans: ______

b) The population of an islandat the beginning of 2012 was 1.3 × 105.

(i)Write 1.3 × 105 as an ordinarynumber.

Ans: ______

At the end of 2012 the populationhaddecreasedby 35 000.

(ii)Find the population of this islandat the end of 2012. Giveyouranswerin standard form.

Ans: ______

(4 marks)

4. a) Write the expression with eachnumberrounded to 1 significantfigure.

Ans: ______

b) Useyouranswer to part (a) to find an estimatefor the value of the expression.

Ans: ______

c) Useyourcalculator to workout a moreaccuratevaluefor the expressiongivingyouranswercorrect to 2 decimalplaces.

Ans:______

(3 marks)

  1. a) Solve the equations:

(i)5(y – 6) = −20(ii) 20 – 2(x – 5) – 3x = 5

Ans: ______Ans: ______

b) A solution to the equation x3 – 5x = 8 liesbetween x = 2 and x= 3. Usetrialandimprovement to find the value of xcorrect to 1 decimalplace.

Ans : ______

(8marks)

6.

Ans : ______

(4marks)

  1. a) Write the ratio 64g : 4kg initssimplestform.

Ans: ______

7. b) In a gardentulipsanddaffodilsarein the ratio 4 : 5. Thereare 45 daffodils. Howmanytulipsarethere?

Ans: ______

c) A floristhas a delivery of the samenumber of singleroseseveryday. Whenhehas 9 singleroses to a bunchhecanmakeexactly 60bunches. Onedayhedecides to put 12 singlerosesineachbunch. Howmanybuncheswillthere be?

Ans: ______

(5marks)

  1. a)

(ii)Calculate the length of BC, givingyouranswercorrect to 2 decimalplaces.

Ans: ______m

8. b) A traintravelsat 50km/h for 2hours, thenslowsdown to do the last 30 minutes of itsjourneyat 40km/h. Whatis the total distance of this journey?

Ans: ______

(6marks)

  1. During the month of October, the number of daysoff by 100 factoryworkerswerenotedasfollows.

Number of daysoff / 0 / 1 / 2 / 3 / 4
Number of workers / 25 / 21 / 28 / 18 / 8

Calculate a) the modalnumber of daysoff.

Ans: ______

(b) the mediannumber of daysoff.

Ans:______

c) the meannumber of daysoff.

Ans:______

(5marks)

10. a) I think of a number, multiplyitby 8 andsubtract 2. I get the sameansweraswhen

I multiply this numberby 2 andadd 10. Use this information to write an equationandsolveit to find the unknownnumber.

Ans: ______

10. b)

(ii) Solve the equation to findx.

Ans: ______°

(iii)Find the size of the threeangles of the triangle.

Ans: ____°, ____°, ____°

(7marks)

11. a) Simplify:

(i) (5a4)2 (ii) 18a8c6 ÷ 6a3c2

Ans: ______Ans: ______

b)

Ans: ______°

(6 marks)

12. a) The tablebelowshows the amounts of ingredientsin a recipe. The total weight of the ingredientsin this recipeis900 grams.

(i)Complete the tablebyworkingout the angle of eachslice of the piechart.

Ingredient / Weight, ingrams / Angle
flour / 350
butter / 300
water / 145
sugar / 85
salt / 20

(ii) Draw andlabel the piechart to show the ingredients.

b) Whatfraction of the total ingredientsin this recipewassugar?

Ans: ______

(8 marks)

13. a) €400 isinvestedfor 18 monthsat an interestrate of 6.5% p.a. Find the simple interestearned.

Ans: €______

b) A salesmanreceives a wage of €3.60 per hourplus 15% commissiononsales. Whatwill be hiswagefor 35 hoursworkifhemakessales of €2900?

Ans:€______

c) In a saleallpricesarereducedby 15%. Matthew buys a shirtin the saleandpays €15.64 for this shirt. Calculate the price of the shirtbeforethe sale.

Ans: €______

(7 marks)

14.

Ans: ______cm

b) Find the area of this sectorgivingyouranswercorrect to the nearest cm2.

Ans:______cm2

(5 marks)

END OF PAPER

Form 3 Mathematics Track 3 Main Paper – Half Yearly 2015 Page 1 of 8