Revision Paper (vii).pdf

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Revision (VII) Cambridge International Examinations Cambridge Secondary 1 Checkpoint

MATHEMATICS

1112/01

Paper I

For Examination from 2019

SPECIMEN PAPER 1 hour Candidates answer on the Question Paper. Additional Materials:

Non Calculator Geometrical instruments Tracing paper (optional)

READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions. You should show all your working in the booklet. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 50.

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1) If one fifth of 2520 is the same as 2p X 3q X 7r What are the values of p, q, and r. Hence or otherwise, find the smallest value of k where 2p X 3q X 7r X k is a perfect cube. [3] 1

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2) Without using calculator , evaluate ( -2 2 + 3 ) ÷ ( - 4 3 ) Show your workings clearly. Give your answer as a fraction in its simplest form. [2] 3) Consider the following numbers: 18 9 √2 , 5 , √64 , - 3 , 0.78, 0 a) Write down the integers, b) Irrational numbers [2] 4) A cyclist travels 10.8 km in 1 hr. Find its average speed in a)m / min b)cm/sec [2] 5) Given that C =

F2

+ ½ pn, make n as the subject and find the value of n when F = 5, p = 0.4 and C = 65 [2]

6) Factorise the following completely a) -6rs – 24st b) 9gh + 45h – 15 -3g [3] 7) a) Simplify 2{ 3p -2(p -21)} b) Subtract the sum of 5ab + a – 3b and 2a – 4b +ba from 10 – 7ab [3] 8) Akash has 2x books. Hari has 4 more books than Akash. David has half as many books as Hari. a) Write down an expression, in terms of x, for the number of books that David has. b) The total number of books is 121. Find the number of books that Hari has. [3]

9) In the figure, PQ is parallel to RS, Angle QAM = x + 100 and angle ABR = 3x -300. Find the value of x.

[2]

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10) Given that AB = AC, Angle ACD = 7x0, Angle BCA = 3x0 and Angle BAC = y0. Calculate the value of x and y

[3] 11) Consider the number pattern below: 5, 11, 17,23, 29 ,35, 41-----a) Write down the 10th term of the pattern b) Write down the nth term of the pattern [2] 12) Mr Areeb bought an article in 2003 for $ 500 000. He sold it in 2009 For $650 000. Find the % increase in the price of the article. [2] 13) A sum of money was divided between A, B and C in the ratio 2 : 3: 4 I instead, this money had been divided equally between them, A would have received an extra $20. What was the total sum of money? [2] 14)

A swimming pool measures 3.5 m by 5m and the height of the wall is 1.5m. Calculate the volume of the swimming pool. [2]

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15) In a survey, 48 children were asked how they travelled to school. The results of the survey are shown in the bar chart.

a) Express the total number of children who travelled by bus or cycled as a fraction of the total number of children. Give your answer in its lowest terms. b) The same information is to be shown in a pie chart. Find the angle which represents the children who travelled by car. c) Calculate the % of children who travelled by bus to school. [4] 16) Sara made a made a card which is made from a square and two semi-circles. If the area of the square is 100 cm2, calculate a) The total area of the card. b) The perimeter of the card. (Take π to be 3.14) [4]

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17) Construct a quadrilateral ABCD such that the base AB = 9cm and angle BAD = 850 AD = 7cm. angle ABC = 750 and CD = 6.8 cm. [2] a) Measure and write down the length of BC. [1] b) On your diagram, draw: i) the perpendicular bisector of AB. ii) the angle bisector of angle ADC. [1] c) The perpendicular bisector and the angle bisector meet at X. Measure and write down the length of AX. [1] 3

18) PQR is a triangle in which PQ = (5x -2) cm, QR = (6x +1) cm and PR = ( 2x +4) cm

a) Given that the perimeter of triangle PQR is 53 cm, form an equation in terms of x. [1] b) Find the value of x. [2] c) Using (b), find the length of the shortest side of the triangle . [1] ******************************************************************************