23/04/2020 British 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. Write the number 53 467in standard form.5.3467 x 10∧353.467 x 10∧3534.67 x 10∧25.3467 x 10∧42. Sandra takes an 80-mile train journey from Wellington to Palmerston North.Change this distance to kilometres.128 km110 km85 km60 km3. Work out2.55 × 3.69.1891.891800.9184. Given that x is a whole number, work out the values of x which satisfy this inequality.4 < 2x ≤ 83, 44, 84, 5, 6, 7, 82, 3, 45. Expand the brackets:6(2w + 5)12w + 530 + 12w42w17w6. 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.ACDB7. Lemons cost $5.40 per kilogram.Leyla buys 0.35 kg of lemons.Calculate how much Leyla’s lemons will cost.$189$1.89$1.88$1888. The stem and leaf diagram shows the heights, in cm, of the 15 students in class 8A and the 15 students in class 8B. Give two statements to compare the heights of the students in the two classes.Class 8B is taller; The tallest person is in Class A.The median of 8B is higher than 8A; The range of class B is largerThe range of class B is larger; Class 8B is shorterThe median of 8A is higher than 8B; The tallest person is in Class B.9. A farmer has 143 hectares of land.62 hectares of this land is planted with vegetables.Calculate the percentage of the farmer’s land that is planted with vegetables.43.36%62.00%56.64%53.50%10. Choose one of the words in the options to complete this sentence.My teacher chooses a number between one and one hundred.It is ............................ that I will guess the number correctlyUnlikelyLikelyImpossibleCertain11. Complete the statement0.75 m = ................................ cm750 cm0.0075 cm0.075 cm7.5 cm75 cm12. Decide whether each of these statements is true or false.Which of them is/are false?I. 9° = 0II. 98 x 94 = 92III. 93 x 92 = 95I, II onlyall of the aboveI onlyI and III only13. 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.Green GreenGreen YellowRed BlueRed Yellow14. Kendra has b birds, c cats and r rabbits.The number of birds and cats are connected by the equation:c = b + 3Kendra has twice as many rabbits as birds.Write this information as an equation involving b and r.b = r + 2r = 2 + br = 2bb = 2r15. 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.3 - m3m - 1m + 33m16. The chart shows the number of units of electricity produced each day of the week.Over the seven days shown,calculate the total number of units produced,98781086817. 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 F4/71/746/718. 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)(3, −2)(x = -2, y = 2)(1, 1)19. 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 P from R12.2 km; 064°18.6 km; 285°14.4 km; 154°12.8 km; 145°20. There are two cycle routes. Sanjit is cycling the blue route.He takes a break exactly halfway.How many kilometres has he cycled at this point?24/5 km4/3 km15/7 km29/8 km21. Look at the equation.45.6 ÷ 1.2 = 38Use this information to write down the answer to3.8 × 1.2 = .......................4.564560.45645.622. Lataraoluwa buys a car for $8000The following year she sells the car for $7500Find the percentage loss.93.75%6.25%62.5%37.5%23. The table shows hourly rates of pay in a factory. Anjola works for 6 hours during the day on Monday and for 5 hours on Tuesday night.Calculate how much money Anjola earns altogether.$87.20$176.0$43.20$44.024. 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 $44.64Supermarket is cheaper by $39.06Supermarket is cheaper by $1.26Local shop is cheaper by $2.1725. Jack says, "I think of a number, n, subtract 5, then divide by 7"Give an expression for the result in terms of n(n - 5) / 7n/7 - 5n - 7/5n - 5/726. Choose one of the words in the options to complete this sentence.It is ............................ that the day after Wednesday is Sunday.LikelyImpossibleCertainUnlikely27. Solve the equation:3(3 – 2x) = 2x – 1132.5- 4- 3.528. Find the sum of the first four negative integers.-11-10-8-929. Andy, Brian and Charlie share £72 in the ratio 2:3 :4Work out how much Brian receives.£72£9£8£2430. 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, 100) to (5:30 pm, 10)(2:30 pm, 100) to (5:15 pm, 0)(3:00 pm, 90) to (5:30 pm, 10)(2:30 pm, 90) to (5:15 pm, 0)31. 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.Her results will be biased unless accompanied with further exemplification.She should ask more peopleShe is only asking people who are visiting the cinemaShe should also ask people not waiting at the cinemaShe should collect data from more than one day32. Work out3/4 ÷ 9/10Give your answer as a fraction in its simplest form.27/403/105/610/1233. Which of the fraction(s) is/are equivalent to 0.351/353/535/1001/334. 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.33 cm²67 cm²100 cm²34 cm²35. The diagram below shows a rectangular table:Use Pythagoras theorem to find the length of BD105 cm255 cm195 cm185 cm36. Complete these calculations in this order:0.64 × ................. = 6406400 ÷ ................. = 64................ × 100 = 6.41000, 100, 0.064100, 10, 0.0641000, 10, 0.64100, 100, 0.006437. Setemi is filling up her bath.She starts by turning on just the cold tap.After a while she also turns on the hot tap.Which of the graphs below best show the depth of water in Setemi’s bath?I. II. III. IV. IIIIVIII38. Which of the fraction(s) is/are equivalent to 0.353/51/37/2035/1039. Convert this fraction to percentage7/5010%25%7%14%40. 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.MaybeCannot tellTrueFalse41. 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,6/73/71/74/742. A fair spinner is in the shape of a regular hexagon as shown belowWhat is the probability of getting a squarenumber?1/22/31/35/643. Which of these symbols make the below statement true? < > =(40 x 0.4) ÷ 0.4 ........................ 40><none of the above=44. Simplify:7 – 5a + 2 + 3a9 + 8a5 + 8a9 - 2a5 + 2a45. 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 cakes31 cakes168 cakes7 cakes46 out of 45Time is Up!