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. A circular fish pond has an area of 20m²Calculate the diameter of the fish pond.4.03m5.05m6.32m2.51m2. 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.18.6 km; 285°12.8 km; 145°14.4 km; 154°12.2 km; 064°3. What is the mass shown on the scale?60 g55 g43 g45 g4. 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 median number of goals scored?234.515. Fatima has a phone.She starts a phone call at 18:32The phone call finishes at 19:16What is the length of the phone call.24 minutes34 minutes14 minutes44 minutes6. Which is the graph of y = 2x – 1?I. II. III. IV. IIIVIIII7. Here is a number line. Which of these inequalities is shown on the number line?5 ≥ n < –2–2 ≤ n ≤ 5–2 ≤ n < 5–2 < n ≤ 58. In the options are the names of 4 shapes.Below is a statement that matches one of the options:Does it have 4 equal angles? YesKiteRectangleSquareParallelogram9. Jenny has a suitcase with a mass of 18.1 kg and a handbag with a mass of 800 g.Work out the total mass of Jenny’s suitcase and handbag in kilograms.818.1 kg18.1 kg18.8 kg18.9 kg10. 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?4.531211. 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,6/73/74/71/712. 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?Supermarket is cheaper by $1.26Supermarket is cheaper by $39.06Local shop is cheaper by $2.17Local shop is cheaper by $44.6413. Kameel uses a term-to-term rule to work out a sequence.Here are the first four terms.23 29 35 41Work out the 11th term of the sequence.90831065614. Determine if 1000 cm³ is less than 1 litre equal to 1 litre more than 1 litreequal to 1 litreless than 1 litremore than 1 litrecan't say15. 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 vowel1/72/73/74/716. Complete the statement4000 kg = ................................ tonnes0.004 tonnes40 tonnes0.4 tonnes4 tonnes400 tonnes17. 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 a banana?1/61/31/21/418. Calculate11/121/125/127/1219. 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 ?5.4605.4325.4595.45520. Expand and simplify:4c – 7(2d + c)4c – 14d – 7c–3c – 14d–3c + 14d14d – 7c21. Arrow A maps onto arrow B using a single transformation.Describe this transformation fully.TranslationRotation 90° (or ¼ turn) anticlockwise Centre (3,9)Rotation 180° (or ¼ turn) clockwise Centre (5,2)Reflection in the line Y = 222. Factorise:y² – 8y(y - 8) (y + 8)y(1 - 8y)y(y - 8)(y - 4) (y + 4)23. 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 is higher in the eveningLunch; The median is higher at lunchno sufficient informationEvening; The median is lower in the evening24. Round to 2 significant figures.17865.217.865217865.20170001800025. Decide whether each of these statements is true or false.Which of them is/are true?I. 9° = 0II. 9^{8} x 9^{4} = 9^{2}III. 9^{3} x 9^{2} = 9^{5}all of the aboveIII onlyI, II onlyI only26. The diagram shows the median family income and the median age of people in 20countries. Does this diagram show a correlation between median age and median family income? Give a reason.Yes; When the income is low the age can be high or lowNo; When the income is high the age can be high or lowNo; When the income is low the age can be high or lowYes; When the income is high the age can be high or lowThere is no sufficient information27. Your new question!28. Find the value of the expression below:when r = 4, e = 5 and x = 6.5r + 3x + 2e5347483529. Complete the statement by writing the name of a quadrilateral that has the given property:All sides equalAll of the aboveRectangle (or Isosceles trapezium)None of the aboveRhombus or Parallelogram or RectangleSquare30. 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.5/903/92/931. The graph shows the line with equation 2y = 3x – 1 A straight line x + 2y = 7 drawn on the grid would have the coordinates(0, 3.5) and (7, 0).(0, 3.5) and (7, -1).(0, 3.5) and (1, 4).(-1, 3.5) and (3, 2).32. 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 onlyI onlyall of the aboveI, II only33. Work out3/52/1516/54/534. 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 - 5/7n - 7/535. Complete this statement.35% of 60 = .................753532.562136. Here is a mapping.Which of the functions could represent the mapping?x → 2xx → 4x + 8x → 4x - 6x → 6x - 837. 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’?1/185/300450/30090/30038. Write the number 53 467in standard form.53.467 x 10∧3534.67 x 10∧25.3467 x 10∧45.3467 x 10∧339. Look at these numbers:5 6 7 8 9 10Using only the numbers above, write down a square number.9108640. Solve the equation:6n + 3 = 2n + 31853.5741. 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 - mm + 33m3m - 142. Which is not correct:I. 15² = 225 II. √144 = 72 III. 4³ = 64IV. √729 = 26II and IVI, II and IVII and IIII and Iv43. 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?1/21/61/31/444. Kameel and Kafeel have a total of 59 sweets between them.Kameel has n sweets.Kafeel has 3 fewer sweets than Kameel.Work out the value of n.5628623145. 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 median of the heights of the students in class 8B.165cm123cm142cm147cm46 out of 45Time is Up!