IkamvaYouth: GRADE 8 BASELINE TEST

Transcription

1 IkamvaYouth: GRADE 8 BASELINE TEST All questions should be attempted Answer all the questions on the question paper, using the space to show your working Calculators may be used NUMBER Question 1

2 Question 2

3 Question 3 Order the following two sets of numbers: From smallest to largest: From largest to smallest: Question 4 Round 425 to the nearest 10 Round 425 to the nearest 100: Question 5 A builder has to buy materials for a job. He has R1200 in cash to pay for the goods. He uses 30% of the money on bricks, 23% on cement and 17% on wood. a) How much did each of the materials cost? Bricks: R Cement: R b) What change did he have left over? Wood: R 4 marks R 1 mark

4 Question 6 Question 7 Calculate the following, without use of a calculator, showing all steps of your working: (a) (b) (c) 3.49 x (d)

5 (e) Question 8 Study the numbers in the box below and select the ones that fulfil the descriptions that follow: (a) all the prime numbers (b) all multiples of 5 (c) the only number that is divisible by both 6 and 9 (d) the only common multiple of 2, 3 and 5 (e) all factors of 100 _ 11 marks Question 9 (a) Provide the lowest common multiple of the following: 3, 7 and 42 (b) Provide the highest common factor of the following: 4 x and 2 x

6 ALGEBRA Question 10 (a) Fill in the missing numbers in this sequence: 6,, 20,, 34, 1 mark (b) Explain in words the rule for the above sequence. Question 11 Matchsticks are used to make squares as shown below: 1 mark 1 square 2 squares 3 squares Fill in the blank spaces on the table below Number of squares n Number of matches 101 Question 12 Simplify, as far as possible: (a) 3x 2y 4x y (b) 3xy 2 3

7 (c) x. x. y. y. x 3 2 (d) 6c 2c ( c 1) (e) 3de 4de 2 d e 2 Question 13 Solve for x: (a) 2x 2 6 (b) 5x x (c) x 20 (d) 2( x 2) x 2 2x 2

8 Question 14 Consider the following expression: a a 7a (a) Rewrite the expression in descending powers of a. (b) How many terms are there? (c) What is the coefficient of (d) What is the constant? 2 a? 1 mark 1 mark 1 mark (e) Calculate the value of the expression if a 2 Question 15 Consider the following rectangular prism. 2 If the volume of the prism is 192cm, calculate the value of x. 8x x 3x x =

9 Question 16 Percentage protection = _

10 GEOMETRY AND MEASURE Question 17 In the sketch below, find, in alphabetical order, the size of the angles marked with small letters. You must give reasons. NOTE: AB = AC A e D B b c d C > E F 34 a H > G a = b = c = d = e = reason: reason: reason: reason: reason: 10 marks Question 18 Find the value of x in the sketch below (no reasons required). A E B 3x 48 x C D Question 19 x =

11 The figure below shows a tent. ED is 2,2metres, PE is 1,2 metres and AE is 1,6 metres. C \\ A // 1,6m 2,2m D P B 1,2m E (a) Find the length of the zip, AB, of the tent. (Round off to 1 decimal place) (b) Find the amount of material needed to make the tent (including the base of the tent)

12 Question 20 You can make only six different cuboids using 24 cubes. Complete the table to show the dimensions of all the remaining cuboids. The first two have been done for you. DIMENSIONS OF CUBOIDS CUBOID LENGTH BREADTH HEIGHT Cuboid Cuboid Cuboid 3 Cuboid 4 Cuboid 5

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15 Question 23

16 Question 24

17 DATA HANDLING Question 25 The graph below shows the number of cars passing a particular point at different hours of a day. Use the above Bar Graph to answer the following questions: (a) At which two time-periods is the traffic at its worst? (b) How many cars pass this point at each of these two time-periods? 1 mark (c) Why do you think there are so many more cars at these two times? (d) What time do you think the majority of people who use this route start and end their work day? (e) There is another peak in traffic between 13h00 and 14h00. What is a possible explanation for this?

18 1 mark (f) What is the total number of cars passing though this spot over the 13 hour period? (Show how you calculated this number) (g) What fraction of these cars pass through the point between 06h00 and 07h00? Question 26 There are four children in a Spanish language class. Their shoe sizes are 4; 6; 7 and 7. a.) What is the mode shoe size? b.) What is the median shoe size? c.) What is the mean shoe size? d.) What is the range in shoe sizes? 4 marks Question 27 There are five people in a family. The ages of four members of the family are 6, 10, 14 and 44. The mean age of the family is 22. What is the age of the fifth member of the family?

19 Question 28 In a game of Bingo the prize number can be anything from 1 to 100. All the numbers are equally likely to be chosen. What is the probability that the prize number will be: A multiple of 10 An even number The number 56 Less than 120 More than 25 The number marks Question 29 times

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