St. Stephen s Girls College Mid-Year Examination VC, LC, MH, KAL, CYN, MLW

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1 St. Stephen s Girls College Mid-Year Examination Form 80 students MTHEMTICS Time llowed : hour Name: ( ) Class: Division: Instructions:. This paper consists of TWO sections, and B.. nswer LL questions in the spaces provided in this Question-nswer Paper. VC, LC, MH, KL, CYN, MLW For Markers Use Only 5 (58) 6 (6) 7 (6) 8 (6) 9 (6) 30 (6) 3 (6) 3 (6) Section (58%) ll rough work should be done on the rough paper provided, but will not be marked.. rrange the following numbers in ascending order. 5 3,. 45, 5, 8 nswers. Marks. dd the L.C.M. of and 8 to the H.C.F. of and 8. Find the result.. 3. Find the simplest fraction which is formed by dividing the cube of by the square of Evaluate Use an algebraic expression to represent the following: Subtract a from b, then multiply the difference by c Stephen has $x. If he spends $4 and gives one-third of the remainder to his sister, how much does Stephen give to his sister? Write down the constant term in the simplified result of the expression x + x 4x 3x x 3 8. Solve the equation If 8 is subtracted from three times a number, the result is 3. Find the number. 9. p.

2 F. Maths. Mid-year Exam In the figure, BCD is a rectangle. It is given that B = (3x + ) cm and D = 8 cm. If the area of rectangle BCD is cm, find the value of x. 8 cm D (3x + ) cm B C 0.. There are some 50 and $5 coins in a purse. If the total number of coins is 5 and their total value is $30, find the number of 50 coins.. 3. Convert 8 3 into a percentage.. 3. What percentage of 3 hours is 45 minutes? % of x cm is 40 cm. Find the value of x There were 00 staff members in a company last year. If the number of staff members in the company this year is 00, find the percentage change model car is sold for $40 and the percentage loss is 0%. Find the cost price of the model car The marked price of a dress is $540. If Kelly buys the dress at a discount of 40%, how much can she save? If Sam deposits $5 000 in a bank at an interest rate of 5% p.a. simple interest for 4.5 years, what is the amount he will finally get? 8. p 9. It is given that s r. If p = 8, q = and r =, find the q value of s If g = 4, m = 6 and g, find the value of n. 0. m n. What is the smallest possible value of y if 0.5y?. p.

3 F. Maths. Mid-year Exam The figure below shows some patterns formed by stars. Find the number of stars in the 7 th pattern st nd 3 rd 4 th 3. In the figure below, EC and BED are straight lines. B 3. (a) Use symbols to write down (a) a pair of parallel lines, (b) a pair of perpendicular lines, and (c) three points which are collinear. D E C (b) (c) 4. The figure below shows three solids P, Q and R. P (a) Which of the above solids is a sphere? (b) Which of the above solids has a uniform cross-section? (c) Which of the above solids is a polyhedron? Q R 4. (a) (b) (c) 5. Draw the solid on an isometric grid using point as the lowest point of the solid. (The numbers below represent the lengths of the corresponding sides of the solid.) p.3

4 F. Maths. Mid-year Exam Section B (4%) ll working must be clearly shown in the spaces provided. 6. The temperature of water in a container was 30 C. (a) The temperature of the water was increased by C per minute when the container was heated. Find the temperature of the water if it was heated for 5 minutes. (b) The water was then allowed to cool down and the temperature of the water was decreased by.6 C per minute. (i) Find the time taken for the water to cool down from the temperature obtained in (a) to 58.8 C. (ii) Mary claims that it took minutes for the water to cool down from the temperature obtained in (a) to 30 C. Do you agree? Explain your answer. 7. Solve the equation 3x 7 x x p.4

5 F. Maths. Mid-year Exam $50 is divided among three men, ndy, Ben and Calvin. If ndy receives $40 more than twice the share of Ben and Calvin receives 4 3 of the share of ndy, how much does each person receive? 9. The cost price of a digital clock is $50. The marked price of the digital clock is 40% above the cost price. (a) Find the marked price of the digital clock. (b) If the digital clock is sold at a 0% discount on the marked price, find the percentage profit or percentage loss. p.5

6 F. Maths. Mid-year Exam Susan deposits $ 000 in a bank at an interest rate of 4% p.a. (a) Find the simple interest Susan may receive after 4 years and 8 months. (b) If the interest rate changes to R% p.a., Susan will get $600 less after 5 years. Find the value of R. 3. Mary has eight $5 coins and y $ coins. It is known that the total value of these coins is not greater than $50. (a) Write an inequality to represent the above situation. (b) Is it possible for Mary to have five $ coins? (c) It is given that the weights of a $5 coin and a $ coin are g and 8 g respectively. Find the total weight of the coins if Mary has eight $5 coins and four $ coins. p.6

7 F. Maths. Mid-year Exam In the figure, DC is a straight line. (a) Find the unknowns x and y. (b) If the triangle is classified by the sizes of the angles, what kind of triangle is BC? 70 B x 00 y D 3 x 55 x C --- End of paper --- p.7

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