Welcome to your British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) NAME EMAIL PHONE NUMBER 1. Decide whether each of these statements is true or false.Which of them is/are false?I. 9° = 0II. 9^{8} x 9^{4} = 9^{2}III. 9^{3} x 9^{2} = 9^{5}I and III onlyall of the aboveI onlyI, II only2. 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 8B47cm36cm32cm42cm3. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of not getting a primenumber?5/62/31/21/34. A circular fish pond has an area of 20m²Calculate the diameter of the fish pond.5.05m6.32m2.51m4.03m5. Round to 2 significant figures.0.0060470.0060000.00600.010.00616. 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.34%60%52%48%7. Nadia is organising a party.She wants to buy 18 litres of orange juice.She can buy it from her local shop or from the supermarket. Her local shop offers her a discount of 12.5% off the total price if she buys 12 or more cartons.She wants to buy the orange juice from just one shop.Which shop is cheaper, and by how much?Local shop is cheaper by $2.17Supermarket is cheaper by $39.06Supermarket is cheaper by $1.26Local shop is cheaper by $44.648. A cuboid has dimensions 8 cm, 5 cm and 14 cm. Find the cross-sectional area of the cuboid.70cm²40cm²560cm²112cm²9. The values of x and y are directly proportional.Find the missing value of Y in the table below:600960480108010. Arrow A maps onto arrow B using a single transformation.Describe this transformation fully.Rotation 90° (or ¼ turn) anticlockwise Centre (3,9)TranslationReflection in the line Y = 2Rotation 180° (or ¼ turn) clockwise Centre (5,2)11. 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.54 m³540 m³54000 m³0.54 m³12. 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 + 33 - m3m - 13m13. Write the number874.591correct to 2 significant figures.875870870.0874.5914. Complete the statement0.75 m = ................................ cm0.075 cm75 cm0.0075 cm750 cm7.5 cm15. 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.What is the probability that the ribbon is the same colour as the wrapping paper?1/64/1204/516. Suki is exploring how the amount of sun affects the growth of three bean plants.Each day she records the height of the plants. What conclusion can Suki make about how the amount of sun affects theheight of these bean plants?the less sun, the faster the plant grewthe bean plant getting full sun grew fasterthe more sun, the slower the plant grewthe bean plant getting full sun grew shorter17. What is the value of -5b in the equation4b + 11 = 3925-35-30-2018. Here is a formula.a = 2b − cFind the value of a whenb = 11 and c = 3222819-519. The first five terms of a sequence are7, 10, 13, 16, 19, ……What is the nth term of the sequence?3n - 4n = 4 - 3nn = 3n + 43n + 420. Given the figure below:Find a126°54°37°143°21. 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?200 cm²100 cm²25 cm²20 cm²22. The grid shows the straight line with equation 2x + y = 12 A different equation is y = 2x + 2Write down the solution to the simultaneous equations.2x + y = 12y = 2x + 2x = 3, y = 5.4x = 2.5, y = 7x = 6, y = 3.5x = 0, y = 623. Work out 4 x ( 1 + 3² )1664364024. The graph below shows Sophia’s journey from Santiago to Rancagua.Chen travels the reverse journey from Rancagua to Santiago.He leaves Rancagua at 2.30 pm and arrives at Santiago at 5.15 pm.He travels at a constant speed.A line on the graph to show Chen’s journey would have the coordinates ..........(3:00 pm, 90) to (5:30 pm, 10)(3:00 pm, 100) to (5:30 pm, 10)(2:30 pm, 100) to (5:15 pm, 0)(2:30 pm, 90) to (5:15 pm, 0)25. Sarah draws a pie chart to show the time she spends on different activities one day.Here is the table she uses.How many hours does Sarah spend playing?487326. 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 mean number of goals scored?4.523127. 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 F6/71/74/7428. 40 children are in a running club.They run a 400-metre race in April and again in July.Their running times are shown in the frequency diagrams.Which month do the children run the race more quickly and all of these BUT ONE are reasons?April; There were fewer longer times in AprilJuly; There were more shorter times in July.April; The April race finished in a longer time.July; The average time was faster in July29. Two fair four-sided dice numbered 1 to 4 are rolled and the scores are multipliedtogether.What is the probability of obtaining an even outcome?12/164/53/68/1230. x and y are positive numbers.Below is a statement.X × Y < XThe above statement is .......................Never trueCan't sayAlways trueSometimes true31. Evaluate:70 × 0.010.70.0777007032. The values of x and y are directly proportional.Find the equation connecting x and y.y = x/32y = 34xx = y/32x = 32y33. Work out 18.6 × 713.0256.4234.56130.234. The graph shows the line with equation 2y = 3x – 1 A straight line x + 2y = 7 drawn on the grid would have the coordinates(-1, 3.5) and (3, 2).(0, 3.5) and (7, -1).(0, 3.5) and (1, 4).(0, 3.5) and (7, 0).35. A bag contains black, grey and spotty beads as shown:A bead is picked at random from this bag without looking.What is the probability of not picking a black bead.5/92/93/9036. Ella is shopping at a furniture store.She has $360 to spend.She buys a table for $204.99. How much money does she have left after buying the table?$155.01$155.1$156.1$564.9937. Look at the equation.45.6 ÷ 1.2 = 38Use this information to write down the answer to3.8 × 1.2 = .......................0.45645645.64.5638. What is the correct fraction in the box?2/34/34/68/939. Gemma can pay for a book in dollars ($) or in euros (€). Gemma wants to pay the lowest amount for the book.The exchange rate is $1 = €0.72Determine which currency Gemma should use.EurosNeitherEitherDollars40. 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?15°45°75°35°41. Evaluate:7 ÷ 0.10.0777000.77042. A and B are points with coordinates (–2, 5) and (6, –7)M is the midpoint of the line joining A to B.Work out the coordinates of M.(4, 6)(x = 2, y = –1)(-2, 1)(2, –1)43. Complete this statement.25% of ................... = 207580506544. 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.52292745. Use the information that:22.1 x 32.5 = 718.25Find the value of 718.25 ÷ 3.2522102212.210.022146 out of 45Time is Up!