Welcome to your British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) NAME EMAIL PHONE NUMBER 1. Correct the number below to two decimal places683.459 683.46 683.460 68.3459 683.45 2. Here is a function x → x + 6The inverse of this function is x → x – 6Write down the inverse of the function x → x/4 x → x - 4 x → 4x x → 4 + x x → 4/x 3. A box contains 20 computer discs.2/5 of the discs are used.Work out how many discs are used. 8 4 10 20 4. Here is a formula.a = 2b − cFind the value of a whenb = 11 and c = 3 19 22 -5 28 5. 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 1178 cm³ 2000 cm³ 1440 cm³ 3440 cm³ 6. Convert this fraction to percentage7/50 14% 25% 7% 10% 7. The stem and leaf diagram shows the heights, in cm, of the 15 students in class 8A and the 15 students in class 8B. Find the range of heights of the students in class 8A 47cm 24cm 61cm 32cm 8. Simplify:3r – r² + 5r + 3r² 10r 8r + 2r² r(2r + 8) 2(4r + r²) 9. Complete the statement1.357 kg = ................................ g 135.7 g 0.01357 g 13.57 g 1357 g 0.001357 g 10. Match the description to one shape:five angles hexagon quadrilateral pentagon isosceles triangle rectangle 11. What is the value of -5b in the equation4b + 11 = 39 -30 -20 -35 25 12. In the options are the names of 4 shapes.Below is a statement that matches one of the options:Does it have two pairs of parallel sides? No Square Rectangle Parallelogram Kite 13. L'taraoluwa wants to find out how often people in Lagos visit the cinema.She collects data from 10 people standing in a queue outside a cinema.All but one are reasons why the data she collects may not be reliable. She should collect data from more than one day She is only asking people who are visiting the cinema She should ask more people She should also ask people not waiting at the cinema Her results will be biased unless accompanied with further exemplification. 14. Work out5.44 ÷ 1.6 = ......................... 2.4 34 3.4 3.65 15. Jade has seven cards.Each card is labelled with a letter. Jade picks one of her cards at random.Find the probability that the card she picks islabelled with a letter that is in her name, JADE, 4/7 1/7 3/7 6/7 16. Given the figure below:Find c 126° 91° 37° 143° 17. 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 100 cm² 25 cm² 200 cm² 18. 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 exterior angle in a regular pentagon is 72°. corresponding angles are equal the sum of the angles is 540° each angle in a regular pentagon is 108° 19. Which of these symbols make the below statement true? =35 ÷ 0.55 ....................... 35 > none of the above = < 20. One of these is wrong. 48 ÷ 20 = 20 ÷ 48 48 ÷ 20 = 48 ÷ (4 × 5) 48 ÷ 20 = 48 ÷ 2 ÷ 10 48 ÷ 20 = 48 × 5 ÷ 100 21. x and y are positive numbers.Below is a statement.X × Y < XThe above statement is ....................... Sometimes true Always true Never true Can't say 22. Use the information that:22.1 x 32.5 = 718.25Find the value of 2210 x 325 7.1825 71825 71.825 718250 7182.5 23. Motolani thinks of a number.Her number rounded to 2 decimal places is 5.46What is the smallest possible number Motolani could have thought of ? 5.432 5.460 5.455 5.459 24. The scale drawing shows the route for a cycling race, which starts and finishes at a point P.The scale is 1 cm = 2 km.The line PQ on the drawing is 6.1 cm. Determine the distance and bearing of Q from P. 12.2 km; 064° 18.6 km; 285° 14.4 km; 154° 12.8 km; 145° 25. What is the suitable metric unit to measure the mass of a letter? metres grams litres tonnes 26. Work out the cost of 4 mirrors at $35.99 each $39.99 $143.96 $144 $8.9975 27. A box contains a large number of coloured balls.Each ball is coloured red or green or blue or yellow.Anoush takes a ball at random from the box and records its colour.She then puts the ball back into the box.She does this 200 times.The table shows some of her results.What is the relative frequency of the blue colored balls 0.24 0.28 0.26 0.20 28. Sam measures the lengths of lizards found living in two different areas.The table shows his results.Which of the options match statement.:Area 2 has longer lizards on average. Maybe Cannot tell False True 29. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of not getting a primenumber? 1/2 5/6 1/3 2/3 30. The graph shows the number of hours of sunshine for six days in November.The column for 10-Nov is missing.The mean number of hours of sunshine for the six days is 4.5Calculate how many hours of sunshine there were on 10-Nov. 27 22 9 5 31. Three lines are drawn on a graph. Use the graph to solve simultaneously these two equationsx + y = 50 and 2x + y = 60 x = 40; y = 20 x = 20; y = 20 x = 40; y = 10 x = 10; y = 40 32. In a 1.65 hectare area of land, 26% is covered by buildings.Calculate the area of land, in hectares, uncovered by buildings. 0.571 hectares 0.429 hectares 1.65 hectares 0.260 hectares 0.740 hectares 33. What is the missing number?40.4 x 7 = .................. x 35 5.00 7.00 6.16 8.08 34. The probability that a hockey team will draw its next match is 0.1The probability the team will win is twice the probability it will lose.What is the probability the team will lose? 0.6 0.4 0.9 0.1 35. Factorise fully:18 – 12e 3(6 - 4e) all of the above 6(3 - 2e) 2(9 - 6e) 36. A trapezium is made up of triangles. Triangles ABE and BCE are right-angled triangles.Triangles CDE and BCE are isosceles triangles (CE = DE and BC = BE).AE = 3 cm and EB = 4 cm.Work out the length of AD. 8.66cm 5.66cm 32.0cm 24.65cm 37. The diagram shows a probability scale. The probability of the first event on the probability scale is?The third one has been done for you. A – The probability of a new baby being a boy.B – The probability of picking a blue pen from a box containing 2 black pens and 8 blue pens. C – The probability of rolling a 7 on a dice with faces numbered 1 to 6D – The probability of picking the letter M at random from the letters in the word GAME. C A B D 38. Jade has seven cards.Each card is labelled with a letter. Jade picks one of her cards at random.Find the probability that the card she picks is a consonant 6/7 2/7 1/7 4/7 39. A cuboid has dimensions 8 cm, 5 cm and 14 cm. Find the cross-sectional area of the cuboid. 112cm² 40cm² 560cm² 70cm² 40. Write these numbers in descending order of magnitude. 0.2², √25, ³√64, 3² 3², √25, ³√64, 0.2² ³√64, 0.2², √25, 3² 0.2², ³√64, √25, 3² 41. A shopkeeper buys a dress for £40.She sells it for £48.What is the percentage increase in the price of the dress? 10.42% 83.33% 16.67% 20% 42. Write the missing number in this ratio.14 : ................ = 2 : 5 15 25 45 35 43. Find the value of the expression below:when r = 4, e = 5 and x = 6.3re / x 60 10 2 22.5 44. Work out 18.6 × 7 34.56 130.2 13.02 56.42 45. The values of x and y are directly proportional.Find the missing value of Y in the table below: 960 600 480 1080 1 out of 45 Time is Up! Time's up