Nova Scotia Assessment. Mathematics. in Grade. Sample Questions

Transcription

1 Nova Scotia Assessment 8 Mathematics in Grade Sample Questions

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3 NOTES TO STUDENT: Use a pencil only. You may use a calculator. Do not use a protractor. Do not use a dictionary or a thesaurus. The diagrams are not to scale. For solutions requiring the value of π, use 3.4. When completing multiple choice questions, completely fill in the circle that represents your answer (for example, ). When needed, do your work in the booklet in the space beside and/or below the questions.

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5 Page Which of the following numbers is a perfect square? Find the value of 4 [5 ( 3)]. ( 2) x (4) The picture of this shark shows a scale of :50. This means cm on the picture represents 50 cm of the actual size of the shark. Scale :50 If the length of the shark in the picture is 5 cm, what is its actual size in metres? 0.55 m 2.5 m 5.5 m 0 m

6 Page 2 4 The price of a video game increased from $30 to $45. What is the percentage increase in the price of the video game? 66% 60% 50% 20% 5 The diagram below represents 50% of a given number. Which diagram represents 50% of the given number?

7 Page 3 6 There are 40 pets in a pet store. Five-sevenths of the animals are birds. Three-fifteenths of the birds are parrots. Three-quarters of the parrots are red. How many red parrots are there in the pet store? Which equation is represented by the following balance? 60 = 20 x x = 60 8x 20 = x = 20

8 Page 4 8 Here is the equation 4 ( x +2) = 0 Which representation describes this equation? Legend represents represents represents x represents x 9 Examine the pattern below. Term Term 2 Term 3 Term 4 How many small squares are there in the 80 th term?

9 Page 5 0 Examine the pattern below. Term Term 2 Term 3 Which equation represents the number of small squares, s, in the n th term? s = 6n + 2 s = n + 5 s = 8n 2 s = 2n + 4 The cost, C, of a medium cheese pizza in terms of the number, n, of toppings is shown in the table below. Number of toppings (n) Cost (C) $ What equation represents the data shown in the table of values? C = n + C = n C = 2n + C = 2n

10 2 Emma conducted a science experiment to see how the height of a plant changes over a certain period of time. Page 6 The graph below shows the relationship between the height of the plant, h, and the number of days, d. Which equation represents the data of the graph? d = 3h h = 3d d = 3h + 2 h = 3d + 2 Height (cm) Plant Height Number of days 3 The equation of a linear relation is: y = 4x + 6 Which ordered pair is in this relation? (, 2) ( 4, 0) ( 3, 6) (2, 2)

11 Page 7 4 The equation of a linear relation is: y = 2x + 2 y M Q N x 2 P 3 4 Which point M, N, P, or Q belongs to the graph of this relation? P M Q N 5 The triangle ABC is a right triangle ( ABC = 90 o ). A 36 cm 2 C What is the area of the square on the hypotenuse of the triangle? B 64 cm 2 6 cm 2 0 cm 2 6 cm 2 00 cm 2

12 Page 8 6 Which set of whole numbers is a Pythagorean triple? 9, 2, 6 3, 4, 6 6, 8, 7, 24, 25 7 The composite quadrilateral below has 2 components: a square ABCD and a right angle triangle ADE. The length of the line segments DE and AE are respectively 6 cm and 0 cm. B A 0 cm C D 6 cm E What is the perimeter of this quadrilateral? 6 cm 24 cm 40 cm 48 cm

13 8 The diagram below can be folded along the lines to form a right square prism. Page 9 5 cm 5 cm 20 cm What is the surface area of this prism? 325 cm cm cm cm 2 9 ABC is an equilateral triangle. AX is the angle bisector of BAC. The line BH is the perpendicular bisector of the side AC. AX and BH meet at D. B X D A H C What is the measurement of ADH? 30 o 60 o 90 o 20 o

14 Page 0 20 The diameter of a circular swimming pool is 20 m. This pool has a circular concrete patio around it. 20 m 4 m Pool Patio What is the circumference of the outside edge of the patio? 24 m 25.2 m 28 m m 2 What is the height of this right triangular base prism if its volume = 24.8 cm 3, the length of AE = 6.5 cm and the length of BG = 3.2 cm? A G B E F D C 6 cm 2 cm 20.8 cm 34.5 cm

15 Page 22 Richard has a bag that contains 4 red cubes and 2 green cubes. He adds to the bag a certain number of blue cubes. The probability to draw a red cube is 2. 5 How many blue cubes did Richard add to the bag? Erik draws the line segment MN on the Cartesian plane below. He applies to MN two successive reflections: a reflection in the y-axis followed by a reflection in the x-axis. M N is the image of MN after these two reflections. What are the coordinates of M and N? M (3, ) and N (, 3) M (3, ) and N (, 3) M ( 3, ) and N (3, ) M (3, ) and N (, 3) y 4 3 N (, 3) 2 M ( 3, ) x

16 Page 2 24 Twelve grade 8 students wrote a quiz marked out of 20. Here are the results: 9, 2, 3, 9, 9, 7, 3, 6, 0, 6, and 4. What is the median mark of the class? Catherine wrote 3 tests on geometry. Her marks, out of 20, on the first and the second test are 9 and 4. Her mean mark for the 3 tests was 5. What was Catherine s mark on the third test?

17 Page 3 26 The circle graph below represents the genre of favourite movie of grade 8 students. Favorite Movie Genre of Grade 8 Students Science fiction Horror % 3% 27% Comedy Drama 3% 8% Action What is the total measurement of the sector angles corresponding to comedy and science fiction, to the nearest degree? 40 o 90 o 97 o 44 o 27 A letter is chosen at random from the word solution. What is the probability that the letter chosen is a vowel? 8 4 2

18 Page 4 28 The following bar graph displays the preferred snack choices of students at Cedar School. Preferred Snack of Students at Cedar School Vegetables Girls Boys Snack Fruit Cookies Cheese Yogurt Number of students Based on the data in this graph, determine which statement is false. 50% of students prefer fruit and cookies for their snack food. 25% of students prefer vegetables for their snack food. 50% of girls prefer yogurt and fruit as a snack food. 50% of boys prefer fruit, cookies and cheese for their snack food. 29 A bag contains 3 black marbles, 2 red marbles and yellow marble. Without looking, Chantal draws a marble at random. What is the probability that the marble is not yellow?

19 Page 5 30 A box contains 0 balls of the same size: 5 yellow balls and 5 green balls. We add 5 more yellow balls and 5 more green balls to the box. How does the probability of drawing a yellow ball change? The probability becomes bigger. The probability does not change. The probability becomes smaller. 3 Nadine tosses a coin and rolls a cube labelled to 6. What is the probability that Nadine tosses a head and rolls an even number?

20 Answer Key and Cognitive Level Question Key Cognitive Level* D Knowledge 2 B Knowledge 3 B Application 4 C Application 5 B Application 6 A Application 7 B Application 8 D Application 9 A Application 0 D Analysis C Application 2 D Application 3 B Application 4 B Application 5 D Knowledge 6 D Knowledge 7 C Application 8 D Application 9 B Application 20 D Analysis 2 B Analysis 22 B Analysis 23 D Analysis 24 B Knowledge 25 C Application 26 D Application 27 C Knowledge 28 D Analysis 29 D Application 30 B Application 3 B Application * Cognitive Levels Level : Knowledge Level 2: Application Level 3: Analysis