MATHEMATICS Duration : 1 hr 30 mins (50 marks) (Answers to this paper must be written on the paper provided separately. All working including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in loss of marks). Question 1 a) Fill in the blanks: i) [5] The sum of the measures of all the interior angles of a triangle is ___________________ ii) The HCF of 8 and 9 is _____________ iii) 8 + 6 + 8 = ___________________ 100 1000 iv) 18.42 x ______________ = 184.2 v) The sum of any two sides of a triangle is always ______________ than the third side. b) vi) 7 = ______ 11 99 vii) 540cm = _________m. viii) The multiplicative inverse of 2 is ______________ ix) 126 reduced to its lowest form is _____________ 98 x) Lines that meet or cross at right angles are said to be ______________ to one another. Convert the following: i) ii) [2] 7,328mg = __________ g ___________ mg 80mins ____________ h ___________ min c) Subtract 216m 20cm from 312m 8cm [2] d) Arrange the given decimals in the descending order: 16.142 ; 16.98 ; 16.41 ; 16.7 [2] 1 P.T.O. ons : 50 :0 d page 2 Question 1 continued e) Find the length of the wire required to fence a square garden of side 17cm. [2] f) How many lines of symmetry do the following geometrical figures have? [2] A 4 cm B A i) ii) 4 cm 4cm C 4 cm 6 cm D B 5cm 6 cm C Question 2 a) i) Multiply: 4l 440ml by 12 ii) Solve: 7 ଷ [2] ଽ x 2ଵଷ [2] b) Find the LCM of 18 ; 45 ; 63 by common division method. [2] c) Divide: 5.66 ÷ 0.2 [2] d) Solve: 420 – 18 ÷ 2 + 9 x 6 [2] Question 3 a) Anne can cycle 6.25km in one hour. How much distance can she cycle in 3.5 hours? [2] b) Find the sum of 54kg 75g and 25kg 59g [2] c) Arrange the fractions 2 , 3 , 1 in the ascending order. 5 8 2 [2] d) In ∆ DEF [3] D E F find m∠DFE. Also, classify the triangle on the basis of its angle. page 3 Question 2 continued e) Mr. Sharma bought a dining table for r18,525 and sold it for r20,000. In this transaction, did he gain a profit or suffer a loss and by how much? [3] f) Using the prime factorization method, find the HCF of 90, 108 [3] Question 4 a) A rectangular piece of paper is 15cm long and 7cm wide. Find the area of the piece of paper. [2] b) Sunita’s family consumes 10kg 750g of rice in a month. How much rice will they consume in a year? [3] c) Construct a triangle PQR such that l(QR) = 7cm, l(PQ) = 6cm and l(PR) = 5.5cm. [5] With the help of a protractor, measure ∠PRQ :an/26.03.2015 3