Math ACER Maths Test Set 01 PDF

ACER MATHS TEST SET 01 Question 1. Factorise 2x+10+dx+5d A. (x+5)(2+d) B. (x+2)(5+d) C. (x+d)(2+5) D. (x+10)(d+5) E. None of these Study the triangle shown below to answer questions 2-3. Question 2. Identify the correct expression of x using trigonometry A. 15 Sin 72...

ACER MATHS TEST SET 01 Question 1. Factorise 2x+10+dx+5d A. (x+5)(2+d) B. (x+2)(5+d) C. (x+d)(2+5) D. (x+10)(d+5) E. None of these Study the triangle shown below to answer questions 2-3. Question 2. Identify the correct expression of x using trigonometry A. 15 Sin 72° B. 15 Cos 72° C. 6 tan 72° D. 6 Cos 72° E. None of these Question 3. Find the value of x A. 9 B.18 C. 3 29 D.3 21 E. None of these Question 4. Expand and simplify 3x(x + 1) + x(x −4) A. −𝑥 & + 4𝑥 B. 6𝑥^2 − 4𝑥 C.3𝑥 & + 3𝑥 + 𝑥 & − 4𝑥 D. 4𝑥 & -x E. None of these Question 5. Identify the coordinates of the turning point of the graph below: A. (-1,3) B. (1,3) C. (1,-3) D. (-1,-3) E. None of these , - Question 6. Rationalise and Simplify : & , , , & A. B. C. 3 6 D. 6 6 E. None of these & - & - 4 Question 7. If 𝑥 = , 𝑦 = , 𝑧 = , calculate: 𝑥 ÷ 𝑧 − 𝑦 - 2 ,  6 4- &- 7 A. B. C. D. E. None of these 7 2 -, 46 Question 8. Note that 280 ÷ 1.4 = 200. So, 28 ÷ 0.14 = A. 2 B.20 C.200 D.0.2 E. None of these Question 9. An American picture book has a picture of a kitten in it, which is 25 inches. How tall is the kitten in centimetres? A. 37.5 B. 50.5 C. 50.0 D. 63.5 E. None of these Question 10. Study first triangle to identify the value of Z in the second triangle. 5 10 3 4 8 Z A. 6 B. 7 C.4 D. 2 E. None of these Use the Venn diagram below to answer the questions 11,12 and 13. There was a survey asking a class of students about what sports they play. T= Tennis B B= Badminton T 8 17 13 2 Question11. How many students were surveyed? A. 48 B. 46 C. 37 D. 40 E. None of these Question 12. How many students played tennis only? A. 13 B. 21 C. 17 D.25 E. None of these Question 13. How many students neither played tennis nor badminton? A. 8 B. 4 C. 2 D. 12 E. None of these Question 14. The swimming pool is about 1.5 metres deep. If the diagram below shows the swimming pool, how much water (in litres) would be required to fill the pool to the very top? A. 2,700L B. 1,980L 1.8 m 1.1 m C. 3000L D.2,970L E. None of these Question 15. Simplify: (4 3 − 5)& A. 53 − 4 15 B. 16 − 4 15 C. 12 − 4 5 D. 53 − 8 15 E. None of these Question 16. A tin of paint costs $3.2 and it can paint 450 square meter. If a room has a rectangular wall with dimensions of 43.2m x 29.1m, how many tins of paint would a painter need? Select the appropriate calculation. 2-.&×&?.4 2-.&×&?.4×-.& 2@A 2@A×-.& A. B. C. D. E. None of these 2@A×-.& 2@A 2-.&×&?.4×-.& 2-.&×&?.4 Question 17. Last Sunday, there was a medical conference and the audience consisted of doctors and researchers. 240 of the audience were researchers. This was 60% of the total number of audience. What is the total number of audience at the conference? A. 384 B. 400 C. 300 D. 336 E. None of these Question 18. Continued from question 17: How many doctors were there? A. 144 B. 400 C. 160 D. 60 E. None of these Question 19. A number z is squared and is subtracted from three times its cube. If the result is 33, select the appropriate equation to identify the value of number z. A. 𝑧 & − 3𝑧 - = 33 B. 3𝑧 - − 𝑧 & = 33 C. 3𝑧 & − 𝑧 - = 33 D. 3 𝑧 - − 𝑧 & = 33 E. None of these Use the linear graph drawn below to answer the questions 20,21,22 and 23. The linear graph passes through the points: (0,10), (1,3) and (2,-4) Question 20. Identify the set of coordinates of the point that lie inside the shaded area. A. (3, 6) B. (1, 6) C. (-1, -3) D. (2, 4) E. None of these Question 21. Identify the set of coordinates of the point that lie outside the shaded area. A. (-1,3) B. (0,5) C. (-1,-2) D.(3-,4) E. None of these Question 22. Identify the gradient of the linear graph. A. 2 B. -2 C. 7 D. -7 E. None of these Question 23. Identify the equation of the linear graph. A.𝑦 = −7𝑥 + 10 B. 𝑦 = 7𝑥 + 10 C. 𝑦 = −2𝑥 + 4 D. 𝑦 = 2𝑥 − 4 E. None of these Question 24. Tim was paid $313 after working 20 hours. What is the hourly pay? A. 15.35 B. 15.55 C.15.65 D.15.85 E. None of these Question 25. What is the intersection point of the two graphs of 𝑦 = 3 − 2𝑥 and 𝑦 = 𝑥 &. A. (1,1) B. (2,3) C. (3,-1) D. (-1,3) E. None of these 4 Question 26. Laura started reading a book at 2:55pm. If she read a book for 2 & hours, what time did she finish reading a book? A. 4:15pm B. 4:25pm C. 5:15pm D.5:25pm E. None of these Use the grid drawn below to answer the questions 27, 28 and 29. Question 27. If each individual square has an area of 1.44𝑐𝑚 & , what is the size of the length of this square?  A. 1.44cm B.1.2cm C.1.4cm D.0.72cm E. None of these Question 28. What is the area of the triangle? A. 5.76𝑐𝑚 & B.12.96𝑐𝑚 & C. 5.04𝑐𝑚 & D. 6.48𝑐𝑚 & E. None of these Question 29. What is the area of the circle? (use 𝜋 = 3.14) A. 11.31𝑐𝑚 & B. 4.52𝑐𝑚 & C.7.54𝑐𝑚 & D.10.17𝑐𝑚 & E. None of these Question 30. Simplify (2𝑤 + 4)(2𝑤 − 4) A. 4𝑤 & + 8𝑤 − 16 B. 4𝑤 & − 8𝑤 − 16 C. 4𝑤 & + 16𝑤 − 16 D. 4𝑤 & − 16𝑤 − 16 E. 4𝑤 & − 16 Question 31. – (−4)- = A. -12 B.12 C. -64 D. 64 E. None of these I(JK2) Question 32. If 𝐴 = , what is C? &L MIN2 &ML &ML MI A. B. C. +4 D. A. +4 E. None of these &L IN2 I &L Refer to the diagram below to answer questions 33, 34,35 and 36. 7cm 2cm Question 33. What is the volume of the rectangular prism? A.70𝑐𝑚 - B. 118𝑐𝑚 - C.59𝑐𝑚 - D.90𝑐𝑚 - E. None of these Question 34.What is the mass of the rectangular prism, given that Density= Mass ÷ Volume? Note that density = 1.4gm /𝑐𝑚 - A.165.2gm B.82.6gm C.98gm D.126gm E. None of these Question 35. What is the surface area of the rectangular prism? A.70𝑐𝑚 & B. 118𝑐𝑚 & C.59𝑐𝑚 & D.90𝑐𝑚 & E. None of these  Question 36. Jo wants to giftwrap a present that has the same dimension as the rectangular prism in the above diagram. If the giftwrapping paper costs $0.42 per 20𝑐𝑚 & , how much will it cost her to buy the required area of giftwrapping paper? A.$2.40 B.$9.12 C.$1.89 D.$1.47 E. None of these Question 37. What is the probability that a total of 7 is thrown, if two six sided dice are thrown together? 4 4 4 4 A. B. C. D. E. None of these , 4& ? 46 Question 38. Which equation is most likely to be the equation of the graph below? A. 𝑦 = 4𝑥 + 2 B. 𝑦 = −7𝑥 − 3 C. 𝑦 = −3𝑥 − 2 D. 𝑦 = −2𝑥 + 3 E. None of these Question 39. Given that the x-intercept is (2,0) and y-intercept is (0,-5) for the linear graph of question 38, identify the gradient. A. 10 B. -10 C. 2.5 D. -2.5 E. None of these Question 40. 2𝑥 A ×(3𝑥 - )A A. 6𝑥 - B.2𝑥 - C.2x D.2 E. None of these O Question 41. 21P can be also written as &4O O P A. B. 21- C.( 21)& D. ( 21)@ E. None of these &4P -Q P ,R S Question 42. × = 2R RQ S ?RQ P ?R & ?R ?Q & A. B. C. D. E. None of these & Q &Q &R Question 43. The refrigerator my mum wanted to buy is $2400 at Harvey Norman. My friend who works at Good Guys, can give her a 15% discount. What is the discounted price of the refrigerator at Good Guys? A. $360 B. $1800 C. $2040 D.$2280 E. None of these  Refer to the table below to answer questions 44, 45 and 46. I II III IV A 3 5 7 9 B 13 15 17 … 23 … … Question 44. If the pattern continues down the table, the number in column IV and row E would be: A. 41 B. 51 C. 59 D. 49 E. None of these Question 45. The number 77 would be in A. Column VII, Row G B. Column III, Row G C. Column III, Row H D. Column VII, Row H E. None of these Question 46. Last Saturday was 17th September. What is the date of tomorrow if today is Thursday? A. 22nd September B. 23rd September C. 24th September D. 25th September E. None of these Question 47. Erin turned 15 in 2001. Her brother is 3 years older. In what year was her brother born? A. 2004 B. 1986 C. 1990 D. 1983 E. None of these Question 48. Simplify 2 40 A. 20 B. 4 20 C. 2 10 D. 4 10 E. None of these Question 49. Peter’s smart phone was worth $1200 last year. However, due to release of newer version of the smart phone, the value of his phone had decreased by 25%. What is the new value of his phone this year? A. $300 B. $600 C. $900 D. $800 E. None of these Question 50. What is this shape called? A. Triangular prism B. Triangular based pyramid C. Square based pyramid D. Cube E. None of these AND OF QUESTIONS