23/04/2020British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) 0Comments by Gate Academy Welcome to your British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) NAME EMAIL PHONE NUMBER 1. Complete these calculations in this order:0.64 × ................. = 6406400 ÷ ................. = 64................ × 100 = 6.4 100, 100, 0.0064 100, 10, 0.064 1000, 10, 0.64 1000, 100, 0.0642. Which of the fraction(s) is/are equivalent to 0.35 7/20 35/10 1/3 3/53. Put one set of brackets in the calculation to make the answer correct.24 ÷ 12 – 8 + 2 = 4 24 ÷ (12 – 8 )+ 2 = 4 (24 ÷ 12) – 8 + 2 = 4 24 ÷ (12 – 8 + 2) = 4 (24 ÷ 12 – 8) + 2 = 44. Work out 4 x ( 1 + 3² ) 40 36 64 165. Work out(3 - 2/3) (1 - 5/7) 2 2/7 2/3 7/36. Sarah draws a pie chart to show the time she spends on different activities one day.Here is the table she uses.What angle represents the time Sarah was in school? 75° 15° 45° 35°7. 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? 27 minutes 35 minutes 9 minutes 22 minutes8. Work out 1.56 × 3.6 = ......................... 56.6 5.616 58.32 5.839. Syed has a six-sided dice.His dice is numbered 1, 2, 3, 4, 5 and 6He throws the dice 300 times.Syed gets a ‘five’ 90 times.What is the relative frequency of throwing a ‘five’? 1/18 5/300 90/300 450/30010. The graph shows the cost of gold in dollars. Use the graph to find a formula for the cost in dollars, C, of G grams of gold. C = 30 + 2G C = 30G C = 45G C = 65 - G11. Factorise fully:18 – 12e all of the above 2(9 - 6e) 3(6 - 4e) 6(3 - 2e)12. A baby elephant has a mass of 105 kg.The elephant increases in mass by 95kg per year.Work out how many years it will take for the elephant’s mass to increase to 2 tonnes.Give your answer to the nearest year. 18years 19 years 20 years 17 years13. Two fair four-sided dice numbered 1 to 4 are rolled and the scores are multipliedtogether.What is the probability of obtaining a product less than or equal to 8? 1/4 3/4 8/16 1/214. Put one pair of brackets in this calculation to make it correct18 ÷ 6 + 3 x 7 = 14 (18 ÷ 6) + 3 x 7 = 14 (18 ÷ 6 + 3 x 7 = 14) 18 ÷ (6 + 3 x 7) = 14 18 ÷ (6 + 3) x 7 = 1415. 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? Evening; The median time is lower at lunchtime. Lunch; The median is higher at lunch Evening; The median is lower in the evening no sufficient information16. Choose one of the words in the options to complete this sentence.It is ............................ that the day after Wednesday is Sunday. Certain Impossible Unlikely Likely17. Complete the statement by writing the name of a quadrilateral that has the given property:Rotational symmetry of order 2 None of the above Rectangle (or Isosceles trapezium) Rhombus or Parallelogram or Rectangle All of the above Square18. The values of x and y are directly proportional.Find the equation connecting x and y. y = x/32 x = y/32 y = 34x x = 32y19. The diagram shows a pentagon ABCDE.Angle EAB = 118°All of the following can tell from the size of this angle that the pentagon is not regular EXCEPT. each angle in a regular pentagon is 108° the sum of the angles is 540° corresponding angles are equal each exterior angle in a regular pentagon is 72°.20. A circular fish pond has an area of 20m²Calculate the diameter of the fish pond. 6.32m 5.05m 4.03m 2.51m21. Write these measurements in order, from smallest to largest.30 cm 0.35 m 320 mm 28 cm 28 cm, 30 cm, 320 mm, 0.35 m 320 mm, 0.35 m, 28 cm, 30 cm 320 mm, 28 cm, 30 cm, 0.35 m 0.35 m, 28 cm, 30 cm, 320 mm22. Complete the statement1.357 kg = ................................ g 1357 g 135.7 g 0.001357 g 0.01357 g 13.57 g23. The diagram shows three scatter graphs. One of the scatter graphs shows the masses of 8 babies plotted against their ages.Which of the scatter graph is it and why? B; Older babies weigh less A and C; Older babies weigh more B and C; Babies generally get lighter as they get older A; Babies generally get heavier as they get older C; Mass and age of babies will be negatively correlated24. The diagram shows triangle ABCTriangle ABC is reflected in the x-axis.Write down the coordinates of the image of point A. (x = 3, y = -2) (x = -2, y = 2) (1, 1) (3, −2)25. Complete the statement4000 kg = ................................ tonnes 0.004 tonnes 40 tonnes 4 tonnes 400 tonnes 0.4 tonnes26. On a school trip the ratio of adults to children is 1 : 6.There are 30 children on the trip.Work out the number of adults 30 15 24 527. What is the missing number?40.4 x 7 = .................. x 35 7.00 8.08 5.00 6.1628. The dimensions of the inside of a fish tank are 120 cm by 60 cm by 75 cm. Work out the volume of the space inside the tank, in cubic metres. 54000 m³ 0.54 m³ 540 m³ 54 m³29. Tara worked out the value of a in the figure below as 111°. Which of these could not have been a possible geometric reason in arriving at her answer? The external angle of a triangle is equal to the sum of the opposite interior angles. Angles on a straight line = 180° The sum of an interior angle and its exterior angle = 180° alternate angles are equal Angles in a triangle = 180°30. What is the suitable metric unit to measure the height of a house? tonnes metres litres grams31. What is the value of 4.2 + 5 x 1.1 10.12 9.7 26.5 9.6232. Solve the equation:3(3 – 2x) = 2x – 11 - 4 - 3.5 2.5 333. Bobbie scores m marks in a test.Georgia scores three times as many marks as Bobbie.Write down an expression for Georgia’s mark in terms of m. m + 3 3 - m 3m - 1 3m34. Work out3/4 ÷ 9/10Give your answer as a fraction in its simplest form. 3/10 27/40 5/6 10/1235. 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. What is the ratio of the containers in order of their capacities from smallest to largest? 1.78 : 1.84 : 5.8 1.44 : 1.8 : 3 1.18 : 1.44 : 2 1.8 : 2 : 6.536. A school team plays nine football matches.The list shows the number of goals scored in each match.1 0 5 8 1 5 0 5 2What is the range of goals scored? 6 3 7 837. Amin and Cara take a Maths test.Amin scores 40 marks and Cara scores 60 marks.What is the ratio of Amin to Cara’s marks as simply as possible? 3 : 2 2 : 3 3 : 5 2 : 538. Raj has a present to wrap. He has a choice of 3 colours of wrapping paper: blue, red or green.He has a choice of 2 colours of ribbon: yellow or green.Raj chooses the wrapping paper and the ribbon at random.One of these is NOT a possible colour combination for wrapping paper and ribbon. Red Blue Green Yellow Red Yellow Green Green39. The timetable shows the times of five buses. Karl arrives at the bus stop in Arden at 16 55Work out how long he waits for the next bus. 19 minutes 16 minutes 17 minutes 21 minutes40. A recipe lists the ingredients needed to make 24 cakes.100 g Flour50 g Margarine50 g Sugar1 EggMotolani makes 48 cakesHow much flour is needed? 200 g 50 g 100 g 250 g41. Write down in words the value of the digit 4 in the number below.249.6 tenths units hundreds tens42. The diagram shows three scatter graphs. One of the scatter graphs shows the masses of 8 babies plotted against their ages.Which of the scatter graph is it and why? B; Older babies weigh more A and C; Older babies weigh less C; Mass and age of babies will be negatively correlated A; Mass and age of babies will be positively correlated B and C; Babies generally get heavier as they get older43. This table shows some outcomes from the function x → 2x + 3Complete the output column of the table. 6, 9 15, 21 12, 18 12, 2744. Look at these numbers:5 6 7 8 9 10Using only the numbers above, write down a factor of 55. 5 8 7 1045. Natasha is making a pattern using matchsticks.The first three patterns are shown. Complete the table. 14, 20 13, 20 14, 26 13, 2646 out of 45Time is Up!
