23/04/2020 British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) 23/04/2020 0Comments by Gate Academy Welcome to your British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) NAME EMAIL PHONE NUMBER 1. The diagram shows triangle ABCWrite down the coordinates of B. (x = 4, y = −2) (-4, 2) (x = 4, y = 2) (4, −2) 2. Solve the equation:6n + 3 = 2n + 31 5 8 3.5 7 3. Solve the equation4b + 11 = 39 28 9.67 6 7 4. A company makes 12 different types of television.The cost (in dollars) and screen size (in centimetres) of each type of television areshown in the scatter diagram. Write down the cost of the television that has a screen size of 65 cm $257 $310 $420 $185 5. Work out 4 x ( 1 + 3² ) 16 64 40 36 6. The graph shows the line with equation 2y = 3x – 1 Use the graph to solve the simultaneous equations2y = 3x – 1x + 2y = 7 x = 2; y = 2.5 x = 2; y = -3 x = -1; y = 4.5 x = 7; y = 0 7. Andy, Brian and Charlie share £72 in the ratio 2:3 :4Work out how much Brian receives. £8 £24 £9 £72 8. A function is given byx → 4(x + 3)Fill in the gaps to express this function in words............................... and then ................................... Add 3; multiply by 4 Add 3 and 4; multiply by 4 Add 12; multiply by 4 Add 4; multiply by 3 9. Mia and Paul are looking at the same whole number. They are both correct.One of these in NOT a possible value of the number. 43490 43999 44005 43995 10. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of not getting a primenumber? 1/2 2/3 1/3 5/6 11. Look at the diagram belowThe diagram is drawn on a one centimetre grid.Work out the area of the triangle ABC. 6cm² 4cm² 1cm² 2cm² 12. Determine the missing number.x/3 + x/? = 4x/9 12 9 6 8 13. Write these numbers in descending order of magnitude. ³√64, 0.2², √25, 3² 0.2², ³√64, √25, 3² 0.2², √25, ³√64, 3² 3², √25, ³√64, 0.2² 14. A restaurant manager records the time (in minutes) that customers wait for their food to be served.The back to back stem-and-leaf diagram shows his results for customers eating atlunchtime and in the evening.When are waiting times generally longer and why? no sufficient information Evening; The median is lower in the evening Evening; The median is higher in the evening Lunch; The median is higher at lunch 15. Work out the value of a in the figure below. 101° 111° 131° 118° 16. The diagram shows a square with a perimeter of 20 cmEight of these squares fit together to make a rectangle as shown below:What is the area of the rectangle? 20 cm² 25 cm² 200 cm² 100 cm² 17. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of getting an oddnumber to be 1/3? any one number with an even number any four sections with even numbers any three sections with odd numbers any two numbers with even numbers 18. Match the description to one shape:two equal sides and one unequal side hexagon quadrilateral pentagon isosceles triangle rectangle 19. The diagram shows a right-angled triangle.Squares are drawn on each of the three sides. Area of Square P = 17 cm²Area of Square R = 50 cm²Work out the area of Square Q. 67 cm² 100 cm² 34 cm² 33 cm² 20. The grid shows the straight line with equation 2x + y = 12 A different equation is y = 2x + 2Complete the table of values for y = 2x + 2 8, 10, 14 6, 10, 14 6, 8, 12 8, 12, 16 21. This chart shows the time the students in three classes took to complete their homework.Find the percentage of students in Class X that took more than 1 hour. 48% 60% 34% 52% 22. One of these numbers is divisible by 4182 218 281 812 218 182 281 812 23. Part of a train timetable is shown below. Grace wants to travel from Staveley to Kendal.She arrives at Staveley station at 14 30.Sam arrived at Kendal on the train that left Windermere at 14 17.How long does he need to wait at Kendal until Grace arrives? 35 minutes 22 minutes 9 minutes 27 minutes 24. Given that x is a whole number, work out the values of x which satisfy this inequality.4 < 2x ≤ 8 3, 4 2, 3, 4 4, 8 4, 5, 6, 7, 8 25. Convert this fraction to percentage7/50 14% 25% 10% 7% 26. Write down in words the value of the digit 4 in the number below.249.6 tenths units hundreds tens 27. Given the formula.a = 2b - cFind the value of a when b = 11 and c = 3 25 22 19 10 28. Three containers are shown.The capacity of the jug is 2 litres.The cylinder has a radius 5 cm and height 15 cm.The cuboid has width 12 cm, length 15 cm and height 8 cm. Determine the volume of the cylinder.Volume of a cylinder = πr²h 1440 cm³ 2000 cm³ 1178 cm³ 3440 cm³ 29. Evaluate:7 ÷ 0.1 0.7 7 0.07 700 70 30. Mario, Franco and Gina share 153 badges in the ratio 2 : 3 : 4How many badges does Mario gets? 9 34 2 17 31. Work out5.44 ÷ 1.6 = ......................... 34 3.4 3.65 2.4 32. Here is a formula.a = 2b − cFind the value of a whenb = 12 and c = −4 19 -5 22 28 33. Which of the calculations would give 9^{10}I. 9^{2} x 9^{7} x 9II. 9^{13} ÷ 9^{3} III. 3^{4} x 3^{6} IV. 9^{20} ÷ 9^{2} V. 9^{5} x 9^{2} ^{} I and II I, II and IV IV and V II, III and V 34. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of getting a squarenumber? 1/2 1/3 2/3 5/6 35. Three students took a test.The test was out of 50 marks.Who scored the highest? David They all had equal marks John Susan 36. A fruit bowl contains apples, bananas and oranges.The number of each type of fruit is shown in the table.Tori takes a piece of fruit from the bowl at random.What is the probability of Tori taking out an apple? 1/4 1/2 1/6 1/3 37. The diagram shows the positions of a bridge, a tower and a station. The station is due north of the bridge.What is the bearing of the tower from the station? 060° 180° 310° 130° 070° 38. Ara buys 38.5 litres of petrol.He pays $54.67Iman buys the same type of petrol and pays $80.00Approximately how many litres does Iman buys? $67 $25 $135 $56 39. Complete the statement1.357 kg = ................................ g 13.57 g 0.001357 g 135.7 g 1357 g 0.01357 g 40. Write down the nth term for the below sequence.4, 8, 12, 16, 20 … 4n +4 4n - 2 4n 4n - 4 41. Complete the statement by writing the name of a quadrilateral that has the given property:Rotational symmetry of order 2 Rectangle (or Isosceles trapezium) None of the above All of the above Square Rhombus or Parallelogram or Rectangle 42. The table below shows some time differences.It is not complete.Ellis flies from Johannesburg to Buenos Aires.The time difference is 5 hours.How many hours is Buenos Aires behind London? 7 hours 4 hours 3 hours 2 hours 43. The diagram shows three scatter graphs. What type of correlation is shown in Graph B? Zero Positive None of the above Negative 44. A recipe lists the ingredients needed to make 24 cakes.100 g Flour50 g Margarine50 g Sugar1 EggFaidah has 7 eggs and plenty of the other ingredients.What is the maximum number of cakes she can make? 210 cakes 31 cakes 168 cakes 7 cakes 45. The travel graph shows Karen’s journey between two towns, Springton and Watworth.George makes the same journey between Springton and Watworth.He leaves Springton at 10 00 and travels at a constant speed of 80 km/h withoutstopping. How much earlier than Karen did George arrive at Watworth? 40 minutes 20 minutes 80 minutes 120 minutes 1 out of 45 Time is Up! Time's up