T-Leng Tuition · mugcornersg.com
Total: 30 marksSuggested time: 50 minutes
Name: ______________________________Class: ____________ Date: ____________
Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.
Section A
1(a)The formula v=u+at gives the speed of a moving object. Find the value of v when u=5, a=2 and t=7. Answer (a)[1]
(b)The formula v=u+at gives the speed of a moving object. Find the value of u when v=24, a=2 and t=7. Answer (b)[1]
2(a)A tin has some 20-cent coins and 8 more 50-cent coins than 20-cent coins. The coins are worth $8.90 altogether. Find the number of 20-cent coins. Answer (a)[2]
(b)A tin has some 20-cent coins and 3 more 50-cent coins than 20-cent coins. The coins are worth $7.80 altogether. Find the number of 20-cent coins. Answer (b)[2]
3(a)Solve 2(3x−3)=54. Answer (a)[2]
(b)Solve 3(4x−8)−4(4x+8)=−60. Answer (b)[2]
Section B
4(a)A father is 30 years older than his son. In 5 years' time, the father will be 3 times as old as his son. Find the son's present age. Answer (a)[2]
(b)Solve 2x+11=3x+15. Answer (b)[2]
5(a)Solve 6x+7=8x−7. Answer (a)[2]
(b)The sum of three consecutive even numbers is 156. Find the smallest number. Answer (b)[2]
(c)(i)Solve 2(x+6)=4(3x−7). Answer (c)(i)[2]
(c)(ii)Solve 4(x−5)−5(2x−3)=−11. Answer (c)(ii)[2]
6(a)Solve 6x+1=9x+7. Answer (a)[2]
(b)(i)The area of a trapezium is given by A=21(a+b)h. Find the value of A when a=7, b=13 and h=2. Answer (b)(i)[1]
(b)(ii)The area of a trapezium is given by A=21(a+b)h. Find the value of b when A=19, a=6 and h=2. Answer (b)(ii)[1]
(c)(i)Solve 6(x+8)=12. Answer (c)(i)[2]
(c)(ii)Solve 3(2x−5)=27. Answer (c)(ii)[2]
END OF PAPER
Question 1
(a)Answer: v=19[1] v=5+2×7v=19 (b)Answer: u=10[1] 24=u+2×7u=10 Question 2
(a)Answer: x=7[2] 20x+50(x+8)=89070x+400=89070x=490x=7 (b)Answer: x=9[2] 20x+50(x+3)=78070x+150=78070x=630x=9 Question 3
(a)Answer: x=10[2] 6x−6=546x=54+66x=60x=10 (b)Answer: x=1[2] 12x−24−16x−32=−6012x−16x=−60+24+32−4x=−4x=1 Question 4
(a)Answer: x=10[2] Son: x+5Father: x+35x+35=3(x+5)2x=20x=10 (b)Answer: x=−4[2] 2x−3x=15−11−x=4x=−4 Question 5
(a)Answer: x=7[2] 6x−8x=−7−7−2x=−14x=7 (b)Answer: x=50[2] x+2x+43x+6=1563x=150x=50 (c)(i)Answer: x=4[2] 2x+12=12x−282x−12x=−28−12−10x=−40x=4 (c)(ii)Answer: x=1[2] 4x−20−10x+15=−114x−10x=−11+20−15−6x=−6x=1 Question 6
(a)Answer: x=−2[2] 6x−9x=7−1−3x=6x=−2 (b)(i)Answer: A=20[1] A=21(7+13)×2A=20 (b)(ii)Answer: b=13[1] 19=21(6+b)×2b=13 (c)(i)Answer: x=−6[2] 6x+48=126x=12−486x=−36x=−6 (c)(ii)Answer: x=7[2] 6x−15=276x=27+156x=42x=7