1G3 2024 Term 3 Timed Practice QP and MS for 2025 Practice

1 Mathematics Department 2024 Secondary One G3 (Mathematics) Name: Date: _________________ Teaching Group: _______ Class: 1 Register Number: ______ Type: Term 3 Timed Practice Topics: Chapter 5 – Simple Equations in One Variable Chapter 8 – Ratio, Rate and Speed Instructions 1. Answer all the questions on the space given. 2. The use of calculators is allowed. 3. Omission of essential working will result in loss of marks. 4. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer correct to three significant figures. 5. This question paper consists of 6 printed pages. 30 Parent’s or Guardian’s Signature: _________________ Duration: 50 minutes

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 2 1 Solve 3(3 1) 5 4aa+=+. Answer a = ................................................ [2] ___________________________________________________________________________ 2 Solve each of the following equations. (a) 312 74xx−= −, Answer x = ................................................ [2]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 3 2 (b) 25 1 1 62 3 yy−−+=, Answer y = ................................................ [3] (c) 46 32 51mm=++ . Answer m = ................................................ [3]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 4 3 Half the sum of 3x and 5 is equal to the result of 5 subtracted from 4x. (a) Write down an algebraic equation to represent this statement. Answer …..................................................... [1] (b) Hence, solve for x. Answer x = .................................................... [2] ___________________________________________________________________________ 4 The conversion formula between f degree Fahrenheit (°F) and c degree Celsius (°C) is given by 5(3 2 )9cf=− . Stuart’s body temperature is 38°C. Find his body temperature in °F. Answer .................................................... °F [2]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 5 5 Maryann spent a total of $18 on 3 notebooks, 4 pens and 2 rulers. Each notebook costs 4 times the cost of a pen, and $3 more than a ruler. If the cost of each notebook was $x, (a) form an equation in x, and solve for x, Answer x = .................................................... [2] (b) find how much Maryann spent on the 2 rulers. Answer $ ....................................................... [1] ___________________________________________________________________________ 6 Express (a) 230 m/s in km/h, Answer ................................................ km/h [1] (b) 4 l/min to ml/s. Answer .................................................. ml/s [1]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 6 7 (a) A rope is cut into three parts, p, q and r. Given that p : q = 4 : 7 and q : r = 5 : 2, find p : q : r. Answer ::pqr= …...................................... [1] (b) If the length of p is 12 cm more than r, find the total length of the original rope. Answer .................................................. cm [2]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 7 8 Malek, a new employee is given a choice of any of the following rates of pay per week. Rate A Rate B First 40 hours $12 per hour $14 per hour Above 40 hours $14 per hour $12 per hour If Malek works 55 hours a week, find (a) his pay under Rate A, Answer $ ....................................................... [1] (b) his pay under Rate B, Answer $ ....................................................... [1] (c) which rate would be a better choice? Explain your answer. Answer …………………………………………………………………………….. ……………………………………………………………………………………... …………………………………………………………………………………. [1]

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 8 9 Mr Chia took 24 minutes to drive from his house to the market at an average speed of 60 km/h. (a) Find the distance between his house and the market. Answer ................................................... km [2] (b) If he increased his average speed by 12 km/h, find the difference in the time taken, in minutes, to travel the same distance. Answer .................................................. min [2] ___________________________________________________________________________ – End of Timed Practice –

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 9 Sec 1 G3 Term 3 Timed Practice 2024 Solutions Qn Solution 1 3(3 1) 5 4 93 5 4 945 3 52 2 5 aa aa aa a a +=+ +=+ −= − = = 2a 31 274 3 27 14 31 284 328 14 16 xx xx x x x −= − −− = − − =− =− − = Alternative working 312 74 43 4 1 0 8 44 43 4 1 0 8 34 1 0 8 4 71 1 2 112 7 16 xx xx xx xx x x x −= − −−= −=− −− = − − −= − −=− = 2b 25 1 1 62 3 25 3 (1 ) 2 66 6 25 33 2 232 5 3 5 10 2 yy yy yy yy y y −−+= −−+= −+ −= += + + = =

2024 Sec 1 G3 Mathematics Term 3 Timed Practice 10 Qn Solution Alternative working 25 1 1 62 3 25 3 (1 ) 2 25 33 2 232 5 3 5 10 2 yy yy yy yy y y −−+= −+ − = −+ −= += + + = = 2c () 46 32 51 4(5 1) 6 3 2 20 4 18 12 20 18 12 4 28 4 mm mm mm mm m m =++ += + += + −= − = = 3(a) 1(3 5) 4 52xx+=− 3(b) 1(3 5) 4 52 3 5 2(4 5) 3 5 8 10 3 8 10 5 5 15 3 xx xx xx xx x x +=− += − += − −= −− −= − = 4 5(3 2 )9 538 ( 32)9 532 38 9 32 68.4 68.4 32 100.4 cf f f f f f =− =− −= −= =+ =