2. Non Calculator Tests Third Year

3. Non Calculator Tests 123456 789101112 131415161718 192021222324 252627282930 313233343536 Click on a number in the table above to go to the test of your choice. The solutions follow after the test

4. 1.What is (  7)  (  8) ? 2.Express 19/20 as a decimal 3.What is  121 ? 4.Express 186 000 in scientific notation (standard form) 5.List all the factors of 18 6.What is the product of 20 and 300 ? 7.Find 5·2  4 8.Round 1874 to 2 significant figures 9.A boy scored 16 out of 20 in a test. Express this as a percentage. 10.What is ? Non Calculator – Test 1

5. QuestionSolutions - Test 1 156 295% 311 41.86x10 5 51, 2, 3, 6, 9, 18 66000 71·3 81900 980% 10 8½8½

6. 1.Split £20 between 2 people in the ratio 4 : 1. How much does each receive ? 2.Simplify 8x  2 + 3x + 10 3.Simplify 2a  5a  3b 4.At a speed of 30 km/hr, how far would I travel in hours ? 5.What is 4 3 ? 6.What is 6·8 + 0·24 ? 7.Round 3·508 to 2 decimal places. 8.Find the area of a rhombus with diagonals 10 cm and 7 cm 9.What is the median score for these test results :  12, 13, 18, 12, 10 ? 10. When a dice is rolled, what is the probability of a 5 appearing ? Non Calculator – Test 2

7. QuestionSolutions – Test 2 1₤16, ₤4 211x + 8 330a 2 b 475 miles 564 67·04 73·51 835 912 101/6

8. 1. Factorise2x 2  6x fully 2.What is 1/2  4/5 simplified as far as possible ? 3.Find 6  (  8) 4.Express34/5 as a decimal 5.Express 0·0064 in scientific notation (standard form) 6.What are the quotient and remainder when 30 is divided by 7 ? 7.What is 0·2  0·4 ? 8.3 buns cost 48 pence. What will 2 buns cost ? 9.Remove the brackets3x(2x  4) 10.The scale on a map is 1 : 5000. On the map, a field is 4 cm long. What is the real length of the field in metres ? Non Calculator – Test 3

9. QuestionSolutions – Test 3 12x(x-3) 22/5 314 43·8 56.4x10 -3 64 remainder 2 70·08 832p 96x - 12 10200m

10. 1. Express 0·05 as a fraction in its simplest form 2. What is 75% of £160 ? 3. What is the value of 2a 2 when a = 3 ? 4. Write down all the whole numbers satisfying the inequality 2x + 1  7 5. The diameter of a circle is 6 cm. Which of these is an approximate answer for its circumference ? 14 cm, 19 cm, 24 cm, 30 cm ? 6. What are the prime factors of 20 ? 7. Round 12·076 to 3 significant figures 8. This figure consists of 2 parallel lines and an isosceles triangle. Find x 9. When a spinner is spun, what is the probability of it stopping on an even number ? 10. 2 men can build a wall in 6 days. How long, at the same rate, would 3 men take ? Non Calculator – Test 4

11. QuestionSolutions – Test 4 11/20 2₤120 318 4{0,1,2,3} 519cm 62, 5 712·1 850 92/5 104 days

12. 1. What is (  18)  (  3) ? 2. What is  400 ? 3. A number in scientific notation is 2·13  104. Write out the number in full. 4. Evaluate 2·0  0·15 5. I bought a C.D. player for £40 and sold it for £30 making a £10 loss. Express this loss as a percentage of the cost price of £40. 6. Simplify8y + 3w  y + 4w 7. Write down the formula for calculating the area of a circle. 8. Here are the ages of a group of boys :  10, 12, 14, 12, 12, 13, 15, 12, 10, 10 What is the modal age (the mode) ? 9. If5x + 6 = 4x + 10, what is the value of x ? 10. A model car is 20 cm long. On a scale drawing, the car in the picture is 5 cm long. What is the scale factor ? Non Calculator – Test 5

13. QuestionSolutions – Test 5 16 220 321300 41.85 525% 67y + 7w 7 8mode = 12 9x = 4 10 ¼

14. 1.Express1/3 as a decimal 2. Which of the following is NOT a factor of 24 :  1, 2, 3, 4, 5, 6, 8 ? 3.What is 7  0·04 ? 4.How many 1/8 ’s are there in 1/2 ? 5. Share £15 between 2 people in the ratio 2 : 1 How much does each person receive ? 6.Simplify5x  3y  y 7.It is 50 km from my house to the airport. How long would it take me to get there at an average speed of 20 km/hr ? 8.Write down a relationship between the 3 sides of this right angled triangle. 9.What is the probability of choosing a square from this board which contains a cross ? 10.Find12  2  5 Non Calculator – Test 6

15. QuestionSolutions – Test 6 10·3333 25 30·28 44 5₤10, ₤5 615xy 2 7 2 ½ hours 8p 2 = a 2 + t 2 91/3 102

16. 1. What is the value of 3 4 (3 to the power 4) ? 2. Find half of 9·9 3. Round 68·975 to 3 significant figures. 4. Find % of £18 5. To pack 4 boxes full of tins takes 20 minutes. How long would it take to pack 3 boxes ? 6. Factorise6xy  9x 7. Evaluate20  2p 2 when p = 3 8. Calculate the area of this kite 9. Express £2 as a percentage of £5 10. There are 2 parallel lines in this figure. Calculate the size of the angle marked x. Non Calculator – Test 7

17. QuestionSolutions – Test 7 181 24·95 369·0 4₤12 515 minutes 63x(2y-3) 72 814cm 940% 1070°

18. Non Calculator – Test 8 1. If x = -2 find the value of 8 – 3x 2. What is the value of  (5 2 + 12 2 )? 3. Write 28000 in scientific notation. 4. Find the size of the acute angle between the hands of a clock at 4.30pm 5. Find 17½% of £800 6. I have just received a 50% pay rise and now earn £60000 pa. How much did I earn before the pay rise? 7. Simplify the expression (x+1) 2 – x(x+2) 8. What is the value of0.5 3 9. Evaluate ½ of ½ + ½ 10. A rectangle has a length 4 and a breadth x. The area of the rectangle is 50cm 2. Find the breadth of the rectangle.

19. QuestionSolutions – Test 8 114 213 32.8 × 10 4 445° 5£140 6£40000 71 80.125 93/4 1012.5

20. 1.Express as a decimal 2.What is the value of 3 2 + 4 2 ? 3.What is the product of4, 3, 2, 1 and 0 ? 4.Round375 001 to 2 significant figures 5.George scored36/50 in a test. What was George’s percentage mark ? 6.Evaluate 1/2  2/3  3/4  4/5 7.A man owns 80 hectares of land. He divides it between his 2 sons in the ratio 1 : 3. How many hectares does each son receive ? 8.Simplify3x 2 + 4x + 2x 2  6x 9.Calculate the area of this triangle. 10.What is the value of 24  (  8) ? Non calculator – Test 9

21. QuestionSolutions – Test 9 14.8 225 30 4380000 572% 61/5 720 hectares and 60 hectares 85x 2 -2x 936cm 2 10-3

22. 1.What is  5  4 ? 2.Express0·038 in standard form (scientific notation) 3.Find1·1  0·75 4.I have a certain fixed amount of money. I can buy 3 books at £8 each. How many books could I buy if they had cost £6 each ? 5.Simplify4a  7a 6.Factorise12a  8b 7.I reduce this large picture to the small one in a photograph. What is the scale factor ? 8.Calculate the size of the angle marked x in this figure. 9.The mean age of 2 boys, David and John, is 13. David is 10. How old is John ? 10.When a normal dice (die) is rolled, what is the probability that it will land showing an even number ? Non Calculator – Test 10

23. QuestionSolutions – Test 10 1-9 23.8 10 -2 30.35 44 books 528a 2 64(3a – 2b) 71/5 8X = 50° 916 years old 100.5

24. 1.Express 15 / 4 as a decimal 2.Which of the following is not a prime factor of 30 :  2, 3, 5, 7 ? 3.Find 0·72  6 4.What is 33 1 / 3 % of £210 ? 5.Expand the brackets3a(5a  2b) 6.The circumference of a circle is 31 cm. Which of these is most likely to give the size of the diameter ? 5 cm, 10 cm, 15 cm, 20 cm ? 7.Express £9 as a percentage of £12 8.Simplify7a  2b  a + 5b 9.What is the value of 3 cubed plus 3 ? t 2 = p 2 + v 2, v 2 = t 2  p 2, p 2 = t 2  v 2, v 2 = t 2 + p 2 10 Which of these is not true for the triangle shown v p t Non Calculator – Test 11

25. QuestionSolutions – Test 11 13.75 27 30.12 4£70 515a – 6ab 610cm 775% 86a + 3b 930 10The last one is not true.

26. 1.What is (  45)  (  5) ? 2.Express0·000052 in scientific notation (standard form) 3.The product of two numbers is 36. One of them is 9. What is the other one ? 4.What is 2  0·95 ? 5.Express 0·096 to two decimal places 6.What is1 7 / 8 + 1 / 4 ? 7.What is the value of ab 2 given that a = 5 and b = 2 ? 8.A tortoise moves at 12 centimetres per minute. How far will it travel in 5 minutes ? 9. Calculate the area of this parallelogram 10. Solve for x, 2x  1 = x + 4 Non Calculator – Test 12

27. 5.2 QuestionSolutions – Test 12 19 2 10 -5 34 41.05 50.10 6 720 860 cm 940 cm 2 10x = 5

28. 1.What is 79  (  21) ? 2.The scale of a map is 1 : 10 000. A line on the map is 3 cm long. What length does this really represent (in metres) ? 3.Write down all the factors of 21 4.In a small test, Scott scored 4 out of 5. What was his percentage mark ? 5.A piece of string is 24 cm long. It is cut into 2 pieces whose lengths are in the ratio 5 : 1. What length is each piece ? 6.Simplify(3p) 2  q 7.What is 0·24 as a fraction in its simplest form ? 8. Factorise 15n 2  30n 9. ABCD is a parallelogram. What is the size of the angle marked x ? 10. Look at these test results. 13, 14, 14, 14, 16, 16, 17, 18, 20 What is the larger  the median or the mode ? Non Calculator – Test 13

29. QuestionSolutions – Test 13 1100 2300 metres 31,3,7,21 480% 520cm and 4cm 69p 2 q 76/25 815n(n-2) 980° 10median

30. 1.What is 30 2 ? 2.What quotient and remainder do you get when you divide 30 by 7 ? 3.Simplify5a(2a + 4) 4.Round13 689to 3 significant figures 5.How may 1/2’s in 41/2 ? 6.Out of 20 people at a meeting, 4 wore glasses. What percentage of the group wore glasses ? 7.To walk 5 km took Laura 40 minutes. How long, at the same speed, did it take her to walk 3 km ? 8.Simplify10p + 3q  p  5q 9.What is0·2  0·3 ? 10.Which of these are NOT solutions of x + 4 < 10 5, 6, 4, 3, 1 ? Non Calculator – Test 14

31. QuestionSolutions – Test 14 1900 2Quotient = 4, remainder = 2 310a 2 + 20a 413700 59 620% 724 minutes 89p – 2q 90.06 106

32. t w a 1.What is (  6) 2 ? 2.Express 2 4/5 as a decimal ? 3.Write out2·3  10  4 as a decimal 4.Write down all the multiples of 6 between 40 and 50 5.What is 1·4 + 0·65 ? 6.Find the value of 100  3t when t = 25 7.Find 5·2  4 8.The diagonals of a rhombus are 20 cm and 12 cm. Calculate its area. 9.Write down a connection between the lengths of the three sides of this triangle. 10.If a card is chosen at random from a pack of cards, what is the probability it will be a spade ? 20cm 12cm Non Calculator – Test 15

33. QuestionSolutions – Test 15 136 22.8 30.00023 444 and 48 52.05 625 71.3 8120cm 2 9t 2 = w 2 + a 2 101/4

34. 2 cm 1. What is 2. What is the sum of 2, 3, 4, 5 and 6 ? 3. What is 0·54  6 ? 4. In a large test, Brian scored 170 out of 200. What was his percentage mark ? 5. Find 2 / 3  3 / 5 6. The ratio of boys to girls passing an exam is 2 : 3 If 12 boys passed, how many girls also passed ? 7. Simplify2a  3a  4a 8.Factorise fully8m  12n 9.The radius of a circle is 2 cm. Give an estimate of the length of its circumference. 10.The mean age of Mrs Jones’s three children is 5. Tom is 3 and Lucy is 4. How old is Andrew, the third child ? Non Calculator – Test 16

35. QuestionSolutions – Test 16 19 220 30.09 485% 52/5 618 girls 724a 3 84(2m – 3n) 9Approx = 12cm 10Andrew = 8 years old

36. 1.Find2  (  3) 2.This number appeared on a calculator display 3.61 04 Write it out in full (not in scientific notation). 3.What is 0·32  0·29 ? 4.Round0·0648to 2 significant figures 5.Of 1000 plastic buckets produced in a factory, 80 were faulty. What percentage of buckets were faulty ? 6.At a speed of 3 miles per hour, it took me 4 hours to walk round the isle of Millport. How long would it have taken if I walk at 2 miles per hour ? 7.Simplify 8a + 3b  a  7b 8.The scale of a map is 1 cm = 20 metres. A road is 3 1 / 2 cm long on the map. What is its true length ? x° 9.Calculate the size of the angle between 2 adjacent sides of a regular hexagon. 10.Simplify 4(3t  2) Non calculator – Test 17

37. QuestionSolutions – Test 17 15 236100 30.03 40.065 58% 66 hours 77a – 4b 870 minutes 9120° 1012t - 8

38. 1.What is 7/25 expressed as a decimal ? 2.What is 1 2 + 2 2 + 3 2 ? 3.Give any one common factor of 18 and 30. (except 1) 4.What is 1/2 of 0·9 ? 5.What is 31/4  23/4 ? 6.Simplify4p  3q  r 7.The range of scores in a test is 15. Paul got the lowest mark of 4. Colin got the highest mark. What was his score ? 8.What is the value of 3p 2 when p = 2 ? 9.The diagonals of a kite are 7 cm and 4 cm. Calculate the area of this kite. 10.If a dart lands on this special dartboard, what is the probability it lands on number 5 ? Non Calculator – Test 18

39. QuestionSolutions – Test 18 10.28 214 32 or 3 or 6 40.45 51/2 612pqr 7Colin scored 19 812 914cm 2 101/8

40. 1.What is  8 + (  5) ? 2.Express 4 million in scientific notation (standard form) 3.When a number is divided by 3, the quotient is 4 and the remainder is 2. What is the number ? 4.What is 1  0·99 ? 5.Find90% of £90 6.A man and a woman split their restaurant bill in the ratio 2 : 1. If the bill was £24, how much did the man pay ? 7.Factorisex 2  x 8.A boy cycles at an average speed of 20 miles per hour. How long will it take him to cycle 70 miles ? (answer in hours and minutes) 9.The time is half past two. What is the size of the smaller angle between the hands of the clock ? 10.Find x given that 3x + 1 = 2x + 4 Non Calculator – Test 19

41. 4 QuestionSolutions – Test 19 1-13 210 6 314 40.01 5£81 6£16 7x(x-1) 83 hours 30 minutes 9105° 10x= 3

42. 1.Express31/5 as a decimal 2.What is 1 4 ? 3.List all the factors of 23 4.Find5·1  3 5.Round1 876 000 to 2 significant figures 6.Express £6 as a percentage of £8 7.Simplify2a + 7b  3a + b 8.What is the largest whole number which is the solution of x + 3 < 11 ? 9.What is the median of these numbers ? 3, 7, 9, 14 10.Simplify2a(a  3b) Non Calculator – Test 20

43. QuestionSolutions – Test 20 13.2 21 31, 23 41.7 51900000 675% 78b – a or –a + 8b 87 98 102a 2 – 6ab

44. Non Calculator- Test 21 1. If x = -3, y = -5 and t = 7, find the value of 2xy – yt 2. If x + y = 15 and x – y = 8, find the value of x. 3. Find 8% of £386 4. Remove the brackets (2x + 1)(x 2 – 3x + 5). 5. Evaluate 13.8 – 14.7 + 4.6 6. If 12½% of a sum of money is £18, find the sum of money. 7.The perimeter of the rectangle shown is 73cm. Find the value of x. 8. The area of the rectangle shown is 92cm 2, find the value of x. 9.Evaluate ½ of ( 12¼ - 5¾ ) 10. If sinx =, find the exact value of cosx. 7 x + 5 8 x

45. QuestionSolutions – Test 21 165 211.5 3£30.88 42x 3 – 5x 2 + 7x + 5 53.7 6£2.25 724.5 811.5 9 1012/13

46. Non Calculator- Test 22 1. If x = 3, y = 4 and t = -2, find the value of 2.If 2x + y = 23 and y = x + 8, find the value of x. 3.Find of £210 4. Remove the brackets (2x + 1)(x – 1)(x + 2). 5. Which of these fractions is largest, or 6. Use Pythagoras to find the value of x in the triangle shown. 7. Evaluate 3.8 + 6.2 × 5 8. Factorize fully x 2 – 7x – 18 9. Evaluate 10. If tan x =, find the exact value of sin x. 24 25 x 3 4 x

47. QuestionSolutions – Test 22 15/4 or 1.25 2x = 5 3£157.50 42x 3 + 3x 2 – 3x - 2 543/85 is the largest 67 734.8 8(x-9)(x+2) 9 10

48. Non Calculator- Test 23 1. Remove the brackets (x + 4)(x 2 – 2x – 5). 2.If ¾ of a sum of money is £396, find the sum of money. 3.Find the value of x if 3x + 4y = 7 and x – y = 0. 4. The area of the rectangle shown is 60 cm 2. Make an equation and find x correct to 1 decimal place. 5. If x = -1, y = -6 and t = 10 find the value of y 2 – 4xt. 6. Find 40% of £2500. 7. Factorize fully x 3 – 4x 8.Solve the equation x(x + 8) = (x+2)(x+5) 9. Find the amount of V.A.T. to be paid on an article costing £400. ( The rate of VAT is 17½%) 10. The diagram shows the lines x + y = 8 and y = x + 1. The lines intersect at the point P. Find the coordinates of point P. 2x + 1 5 y = x + 1 x + y = 8 y x P

49. QuestionSolutions – Test 23 1x 3 + 2x 2 – 13x - 20 2£528 31 45.5 576 6£1000 7x(x-2)(x+2) 810 9£70 10(3.5,4.5)

50. Non Calculator- Test 24 1. If y = -4, find the value of 40 – 5y 2. 2. If y = 2x and x + y = 60 find the value of y. 3.Factorize fully 9x 2 – 121 4. Solve the equation x 2 =(x+2)(x+1) 5.Find ¼ of (13¼ - 4¾) 6. The area of a rectangle is 162cm 2. The length of the rectangle is twice the breadth. Find the length of the rectangle. 7. Find x in the triangle shown. 8.Remove the brackets (2x – 5)(x 2 + 4x – 3) 9.If x is an acute angle and sin x =, find the exact value of tan x. 10. Can a triangle with sides of length 15, 21 and 26 be right angled ? If not, why not? x 15 12

51. QuestionSolutions – Test 24 1-40 240 3(3x-11)(3x+11) 4x = -2/3 5 6Length = 18 7x = 9 82x 3 + 3x 2 – 26x + 15 93/4 10No, apply the converse of Pyth.

52. Non Calculator- Test 25 1. If f(x) = 3x – 7 and f(t) = 20, find t. 2. Multiply out the brackets (3x – 2)(2x 2 – x – 2) 3. Find the equation of the straight line in the diagram shown 4. Solve the inequation 5(x-2) +1 < 0 5.Find the gradient of the line which passes through the points (-2,0) and (0,-4). 6. Evaluate 13.8 + 6.2 5 7. If cosx =, and x is an acute angle, find the exact value of tanx. 8. If y = 2x and x + y = 27, find the value of y. 9. Evaluate - 10. Factorize fully 3x 3 – 3x (0,1) (6,4) x y 

53. QuestionSolutions – Test 25 1t = 9 26x 3 – 7x 2 – 4x + 4 3y = 0.5x + 1 4x < 1.8 5m = -2 629.8 715/8 818 9½ 103x(x-1)(x+1)

54. Non Calculator- Test 26 Evaluate A rectangle has an area of 200cm 2. If the length is twice the breadth, calculate the breadth. 1Factorize fully 8x 2 – 2x 4 2If f(x) = 3 – 2x – 2x 2, find the value of f(-2). 3The point (t,6) lies on the line with equation y = 3x – 12. Find the value of t. 4 5 6Find 6% of 73. 7Solve the equation 3x 2 = (3x – 1)(x + 2). 8A triangle has sides of length 7cm, 7cm and 10cm. Can the triangle be right angled? Explain. 9If a = -5, b = -3 and c = 10 find the value of b 2 – 4ac. 10The line joining the points (3,2) and (5,t) has a gradient of 4. Find the value of t.

55. No since 7 2 + 7 2 QuestionSolutions – Test 26 12x 2 (2-x)(2+x) 2 3t = 6 4 5breadth = 10 6₤4.38 7x = 0.4 8 10 2 9209 10t = 10

56. Non Calculator- Test 27 16 20 x Evaluate of Evaluate 8.81 2 – 1.19 2 1 2If x + y = 11 and x – y = 4, find the value of y. 3Find the gradient of the line 3x + 2y – 5 = 0 4Solve the inequation 1 – 2x < -11 5 6Factorize fully 6x 2 – 13x + 6 7Find x in the triangle shown. 8Multiply out the brackets (x + 2) 3 9If f(x) = 3 – 2x 2, find the value of f(-2). 10 Find 2 ½ % of ₤400

57. QuestionSolutions – Test 27 15 23½ 3-3/2 4x > 6 576.2 6(3x-2)(2x-3) 712 8x 3 + 6x 2 + 12x + 8 9-5 10₤10

58. Non Calculator- Test 28 10 7 4 Calculate the perimeter of the shape shown. 1Factorize fully x 2 – x - 42 2If y = 2x + 1 and x + y = 16, find the value of y. 3If 6% of a number is 18, find the number. 4A ship leaves port and sails East. What is the 3 figure bearing of the port from the ship? 5Find the equation of the straight line which passes through the points ( 3,7) and (6,13). 6If P = 3(L + 2B), change the subject of the formula to B. 7Find the median of the numbers 5,3,8,4,5,2,6,6,7,9 8If f(x) = x 2 + 1 and f(t) = 37, find t. ( t>0) 9If x = 3 and y = -4 find the value of xy – y 2. 10

59. QuestionSolutions – Test 28 1(x-7)(x+6) 2y = 11 3300 4270 0 5y = 2x + 1 6 7Median = 5.5 8t= 6 or -6 9-4 10Perimeter = 26

60. Non Calculator- Test 29 Is the triangle shown right angled? If so why? 1If x = 3, y = -4 find the value of 3x – y 2 2An apple and an orange cost 31p. The difference between their prices is 3p. Find the cost of each. ( the apple costs more than the orange) 3Evaluate 23.8 – 41.9 + 25.6 4Remove the brackets (2x+3) 3 5Solve the equation x 2 = (x + 5) 2 6 7A line has gradient 1.5 and passes through the point (4,2).Find its equation. 8Factorize fully x – x 3 9Simplify (x+1) 2 – x(x - 1) 10If f(x) = 1 – 2x 2 and f(t) = -11, find t. 15 17 8

61. QuestionSolutions – Test 29 1-7 217p and 14p 37.5 48x 3 +36x 2 +54x+27 5x = -2.5 6Yes, converse of Pythagoras 7y = 1.5x - 4 8x(1-x)(1+x) 93x + 1 10 66

62. Non Calculator- Test 30 If Write If cos x =, find the exact value of tanx. 1If f(x) = ax 2 and f(5) = 50, find the value of f(10). 2If 3x + y = 29 and y = x + 1, find the value of y. 3 of a sum of money is ₤184, find the sum of money. 4Factorize fully 2x 2 – 15x + 25 5 as a decimal correct to 3 decimal places. 6State the gradient of the straight line with equation 5x + 2y – 4 = 0. 7Solve the inequation 4(x+3) > 17 8If f(x) = 1-x 3, find the value of f(2) – f(-2) 9Solve the equation (x+2) 2 = x 2 + 80 10 8 17 x

63. QuestionSolutions – Test 30 1200 2y = 8 3£245.32 4(2x-5)(x-5) 50.571 6-2.5 7x > 1.25 8-16 9x = 19 1015/8

64. Non Calculator- Test 31 0 (0,3) (6,0) y x 2x + 3 1.5 2.5 2.0 5 Calculate 3% of £64. If f(x) = and f(t) = Is the triangle shown right angled? If so, why? The perimeter of the rectangle shown is 84 cm. Make an equation and find x 1Find the equation of the line shown in the diagram. 2A ship leaves a port and sails in a SW direction. What is the bearing of the port from the ship? 3Factorize fully 9x 2 – 12x + 4 4Multiply out the brackets (x + 1) 2 (x – 3) 5 6, find t 7 8If x = -6 find the value of 2 – 2x 2 9 10The point (t,5) lies on the straight line 2x + y – 1 = 0. Find the value of t.

65. QuestionSolutions – Test 31 1y = -0.5x + 3 2045° 3(3x-2)(3x-2) 4x 3 – x 2 - 5x - 3 5£1.92 6x = -1.25 7Yes, converse of Pythagoras 8-70 917 10t = -2

66. 0 y x P y = 0.5x + 2 y = 4 Solve the equation Evaluate If x = -3 and y = -4, find the value of 1 The lines with equations y = 4 and y = 0.5x+2 meet at point P. Calculate the coordinates of point P. 2Factorize fully 4x 3 – 64x 3 4If two dice are thrown together, what is the probability that the sum of the two dice is 8? 5Evaluate 0.4 3 6I have just received a 25% pay rise and now earn ₤36000 per annum. How much did I earn before the pay rise? 7Two of the angles of an isosceles triangle are 2x and 5x. Find two possible values for x. 8 9 Non Calculator- Test 32

67. QuestionSolutions – Test 32 1P(4,4) 24x(x-4)(x+4) 312.5 45/36 50.064 6£28800 720° and 15° 86 9-2.25 10- - -

68. Non Calculator- Test 33 Evaluate Evaluate 15.8 – 17.2 – 6.7 1Factorize fully x 2 – 5x - 14 2If f(x) = ax 2 + 5 and f(2) = 33, find a formula for f(x). 3Multiply out the brackets (x+1) 2 (x-4) 4 5 6State the gradient of the straight line y = 2. 7Solve the equation x 2 = (x – 1)(x + 3). 8A triangle has sides of length 2.4cm, 3.2cm and 4cm. Can the triangle be right angled? Explain. 9 Find 17 ½ of ₤800. 10Find the value of t if t + v = 9 and t – v = 9.

69. QuestionSolutions – Test 33 1(x-7)(x+2) 2f(x) = 7x 2 + 5 3x 3 – 2x 2 – 7x - 4 4 3½3½ 5- 8.1 6m = 0 7x = 1.5 8Is 2.4 2 + 3.2 2 = 4 2, yes it is. 9₤140 10t = 9

70. Non Calculator- Test 34 5x + 1 4 If The perimeter of the rectangle shown is 56 cm. Make an equation and find x correct to 1 decimal place. Evaluate 1Remove the brackets (x + 4)(5 + 2x - x 2 ). 2 of a sum of money is £94, find the sum of money. 3Find the value of y if 4x + 3y = 7 and y = x + 7 4 5If x = -6, find the value of 2x(x-1) 6The perimeter of a square is 5cm. Find the area of the square. 7Factorize fully t 2 – t - 2 8Solve the equation x(x + 2) = (x+2)(x+5) 9 The angles of a quadrilateral are x, 3x, 4x and 80 º. Find the size of all the angles. 10

71. QuestionSolutions – Test 34 120 + 13x – 2x 2 – x 3 2₤235 3x = -2, y = 5 4x = 4.6 584 6x = 1.25, area = 1.5625 7(t-2)(t+1) 8x = -2 935°, 105°, 140° and the 80° 101

72. Non Calculator- Test 35 Find the equation of the straight line in the diagram shown. Find the gradient of the line which passes through the points (-3,7) and (5,8). Evaluate 1If f(x) = x 2 – 7 and f(t) = 74, find t. 2Multiply out the brackets (3x + 4)(x 2 – 2x – 5) 3 4Solve the inequation 4(2x-3) – 9x < 0 5 6 Evaluate 0.12 2 7An apple and 3 oranges cost 49p while two apples and 5 oranges cost 85p. Find the cost of each. 8Simplify the expression (x+2) 2 – (x+4)(x+1) 9 - 10Factorize fully 144x 2 – 49y 2 (0,2) (10,6) x y

73. QuestionSolutions – Test 35 1t = 9 or t = -9 23x 3 -2x 2 – 23x - 20 3y = 0.4x + 2 4x > -12 5m = 1/8 60·0144 7Apple = 10p, orange = 13p 8- x 9 10(12x-7y)(12x+7y)

74. Non Calculator- Test 36 15 25 x Evaluate of Solve the equation Evaluate 13.69 2 – 6.31 2 1 2If x + 2y = 13 and x – y = 4, find the value of x. 3Find the gradient of the line 2y = 6 - x 4 5 6Factorize fully x 2 – x - 121 7Find x in the triangle shown. 8Multiply out the brackets (x + 2)(6 + x – x 2 ) 9If f(x) = ax 3 – 2 and f(2) = 14, find the value of t. 10 Find ½ % of ₤480

75. QuestionSolutions – Test 36 1 1¼1¼ 2x = 7 3 m = - ½ 4x = -5·5 5147·6 6(x-11)(x+10) 7x = 20 812 + 8x – x 2 – x 3 9a = 2 10₤2·40