CHS 2020 Y4 EOY Math P1 _solutions

Name: Index Number: Class: CATHOLIC HIGH SCHOOL Preliminary Examination Year 4 (Integrated Programme) – Solutions MATHEMATICS Paper 1 5 OCTOBER 2020 2 hours Candidates answer in the space provided on the Question Paper. 1 (a) Find the fraction which is exactly halfway between 3 7 and 6 7 . Answer …………. 9 14 ……………… [1] (b) Calculate 2 33.595 0.0875 , correct your answer to 4 significant figures. Answer ……… 0.09305 ………… [1] 2 Factorise fully 3 12 2 18 .ax by bx ay              3 12 2 18 3 2 6 2 3 3 2 6 3 2 6 3 2 ax by bx ay x a b y b a x a b y a b x y a b               Answer ……………………………… [2]

2 3 (a) Simplify 2 2 2 2 6 3 bab a      . 2 2 4 3 2 2 6 2 3 27 bab a b a       (b) Given that    49 50 02 2 2 2 4 x   , find the value of x without using calculator.       49 50 0 49 2 2 2 2 2 4 2 1 2 1 2 2 124 2 x x x        Answer ……………………………… [2] Answer x = …………………………. [2]

3 4 (a) Matthew bought a pair of limited edition sports shoes for $199 and made a profit of 250% of his cost. Find his selling price.   Selling Price = 199 350% = $696.50 OR   Selling price 250% 199 199 =$696.50   (b) A rectangular piece of fabric which measures 270 cm by 420 cm is cut into identical squares to make masks. Find the largest possible area of each square such that there is no leftover fabric.   3 2 2 270 2 3 5 420 2 3 5 7 Largest area 2 3 5 900            Answer $ ………………………… [2] Answer ……………………………… cm2 [3]

4 5 Tom invested some money in a savings account for 2 years. The rate of compound interest was fixed at 2.88% per annum compounded quarterly. At the end of the 2 years, there was $9427 in his account. How much did Tom invest in the account? Leave your answer to the nearest dollar. 2 4 8 2.88 41 100 0.729427 1 100 $8901 A P P P                  6 Mr Lim bought a system 4 aircon for his new home which cos t $4259 on hire purchase. He paid a down payment of $1500. The remaining sum is to be paid in monthly instalments over 3 years at 1.4% per annum. Find the amount of his monthly instalment. Interest =    4259 1500 1.4 3 100  = $115.878 Monthly instalment = 4529 1500 115.878 36   Answer $……………………………… [2] Answer $……………………………… [3]

5 7 The point (1, 1) is marked on each diagram in the answer space. On these diagrams, sketch the graphs of (i) 1y x , [1] (ii) 3xy . [1] y x y x –1

6 8 The scale of a map is 4 cm : 2.5 km. (a) Write this scale in the form of 1 : n. 1 : 62500 (b) A plot of land is represented by an area 8.5 cm2 of on the map. Calculate the actual area o