Choose a circle to show how much each sentence is like you. Very Unlike Me. Unlike Me. Like Me. 01. I like maths at school. 02. I am good at maths.

Transcription

1 Choose a circle to show how much each sentence is like you Very Unlike Me Unlike Me Like Me Very Like Me I like maths at school. 02. I am good at maths. 03. My teacher thinks I am good at maths. 04. My Mum and Dad think I am good at maths. 05. I enjoy doing maths in my own time (not at school). 06. I enjoy doing things in maths that I haven't tried before. Page 1

2 Practice Questions These practice questions are to help you understand how to show your answer for different types of questions. P01. Who is holding a card with an even number on it? Ben Eru Aroha Davina P02. Complete this number pattern. 2, 4,,, 10 Page 2

3 P03. What fraction of this circle is shaded? P04. Match the sentence with the correct shape. 1. I have three sides 2. I have 4 sides a. b. c. Page 3

4 P05. Which numbers make this number sentence TRUE? P06. Put the numbers 1, 2, 3, and 4 in the boxes to order these numbers from biggest (1) to smallest (4) P07. Select whether the following statements are True or False. In the number 213, the value of 1 is ten. In the number 504, the value of 5 is fifty. TRUE FALSE Page 4

5 01. Jo's recipe says to bake a cake for minutes. About how long is this? A quarter of an hour Half an hour An hour An hour and a half 02. Which of the following could be used to determine the perimeter of the shape below? x x x 5 Page 5

6 03. The strawberry was rotated 90º anticlockwise. Which of these is the strawberry in its new position? 04. Look at the angles in this quadrilateral. Which angles measure is closest to 48º? Page 6

7 05. This solid is composed of cubes, all of which are the same size. Using an edge of a cube as one unit, which could be the volume of the figure? 28 cubic units 24 cubic units 20 cubic units 16 cubic units 06. What is the length of the pipe being measured? m m 0.85 m 8.5 m Page 7

8 07. Angle ABC is formed by the hands of the clock at 4 o'clock. What is the measure of angle ABC? 60º 90º 120º 150º 08. The table shows how many T-shirts of each colour Paul has in his closet. If Paul chooses a T-shirt without looking, what is the probability that it will be blue? 4% 8% 40% 60% Page 8

9 09. What is the volume of the rectangular prism? 30 units 3 50 units 3 55 units 3 60 units 3 Page 9

10 10. Put the numbers 1, 2, 3, 4 and 5 in the boxes to order the following items from the lowest volume (1) to the highest volume (5). Page 10

11 11. The diagram below shows a geometric figure on a coordinate plane. Which of the diagrams below shows a rotation of this geometric figure? Page 11

12 12. Nina made a triangle by cutting the corner off a sheet of paper. One angle is 45º. What is the measure of the third angle of Nina's triangle? 30º 45º 55º 60º 13. In a random survey, 25 out of 150 people were able to give a correct answer to the question asked. If 500 people are surveyed, about how many would be expected to answer the question correctly? In Sheila's class, there are 5 students with red hair, 8 students with blond hair, and 9 students with brown hair. Which of the following questions about these students could you use probability to solve? How many students are in Shelia's class altogether? If the teacher picks 1 student at random, what colour hair is that student most likely to have? How many more students have brown hair than red hair? If the teacher buys 2 pencils for each student, how many pencils will she buy? Page 12

13 15. Which white triangle shows where the black triangle would be if reflected across the x- axis? A B C D 16. Look at the circle with centre O. The line segment AB appears to be an arc. a perimeter. a radius. a diameter. Page 13

14 17. A, B, and C are points of tangency. AP = 4 and BQ = 8. What is the measure of PQ? Kurt is wrapping a present for a friend. He can choose from 4 patterns of wrapping paper and 3 colours of ribbon. When he wraps the present, he will use 1 pattern of paper and 1 colour of ribbon. How many different ways could he wrap the present? Page 14

15 19. All the sections on the spinner below are the same size. If the spinner is spun one time, what is the probability that the arrow will land on a space marked Red? Page 15

16 20. David is packing his lunch. The chart below shows the choices for his lunch. Which diagram shows all the different combinations of 1 kind of sandwich, 1 kind of drink, and 1 kind of snack that David can choose? 21. Which BEST describes this figure? Angle JK Line segment JK Ray JK Line JK Page 16

17 22. Which net will NOT fold to make this tetrahedron? Page 17

18 23. Everyone in art class is making a special plate. The table below shows the different choices of shape, design, and colour that can be used. Which of the tree diagrams below shows all the different kinds of plates that can be designed using 1 shape, 1 design, and 1 colour? 24. A guy wire for a pole for a tennis net makes an angle of 62º with the ground. What is the measure of the angle between the wire and the pole? 28º 62º 90º 180º Page 18

19 25. In rhombus ABCD, AC = 30 centimetres and BD = 40 centimetres. What is the perimeter of the rhombus? 25 cm 50 cm 100 cm 200 cm 26. What is the value of x in the triangle below? 65º 82º 90º 92º 98º 27. The translation which moves the graph of y = x 2 to the graph of y = x 2-3 is up 2. down 2. down 3. up 3. Page 19

20 28. On a map, the distance between Milvale and Dracut is centimetres. If the map uses a scale on which 1 centimetre represents 1 kilometre, what is the actual 4 distance in kilometres from Milvale to Dracut? A cow is tied to a post in the middle of a flat meadow. The cow's rope is several metres long. Which of the following figures shows the shape of the region where the cow can graze? Page 20

21 30. In the figure below, if ABCD is a square, then the coordinates of vertex C are (4, 5) (3, -4) (3, -2) (5, -4) (5, -2) 31. Lines l, m, and n intersect at the same point forming the six angles shown. Lines l and m are perpendicular. Which angle has the same measure as 1? Page 21

22 32. The spinner below is used in a game. In a single spin, what is the probability of the arrow landing on a Green or Blue space? Which is a two-dimensional representation of the view from directly above the figure? 34. In a bag of cards 1 6 are green, 1 12 are yellow, 1 2 are white and 1 are blue. 4 If someone takes a card from the bag without looking, which colour is it MOST likely to be? Green Yellow White Blue Page 22

23 35. Norma will use the grid to plot the ordered pairs (3, 4), (4, 6), (7, 6), and (8, 4). If she connects the four points with line segments, which figure will represent her drawing? 36. In her pocket, Kira has 2 red marbles, 2 green marbles, and 2 blue marbles that are all the same size. If Kira picks one marble out of her pocket without looking, what is the probability that it will be either red or green? Page 23

24 37. The measures of some angles are given in this figure. What is the measure of N? 40º 58º 82º 122º 38. A window air conditioning unit is supported with a brace against an outside wall, as shown below. What is the measure of the angle indicated by the question mark? 41º 43º 45º 49º Page 24

25 39. ( ) + ( -3 2) = ( -1 0) The missing vector is ( 2-2) ( -4 2) ( 4-2) ( -2 2) 40. In the figure below, point C is the centre of the circle. Which two points can be connected to form a chord that is NOT a diameter? Points Q and T Points S and C Points R and T Points T and C Page 25

26 41. Which is a TRUE statement about angles 1 and 2 shown below? 1 is complementary to 2. 1 is supplementary to 2. Both angles are obtuse. Both angles are acute. 42. Figure K' is the result of a sequence on transformations of Figure K. Which of the following does NOT describe a correct possible sequence of transformations? A translation of figure K down 5 units, then a translation to the left 5 units. A reflection of figure K across the x-axis, then a translation to the left 5 units. A reflection of figure K across the y-axis, then a translation down 4 units. A reflection of figure K across the x-axis, then a reflection across the y-axis. Use the following information to answer questions 43 to 44. Ivan was on holiday on Waiheke Island. Page 26

27 43. What direction is Surfdale from Stonyridge? north south east west Page 27

28 44. What is north west of Blackpool? Oneroa Village Ferry Terminal Church Bay Palm Beach End of Section Use the following information to answer questions 45 to 46. The school field is being hired out as a car park for a local event. 45. Which is the closest estimate of how many cars could be parked close together on the school field? Page 28

29 46. Explain your answer. End of Section 47. Triangle ABC is a right-angled triangle with lengths as shown. The length of BC is 18 cm 24 cm 32 cm 576 cm Page 29

30 48. Bart started at the buoy shown below and travelled 8 kilometres due south, then 12 kilometres due east. To the nearest 0.1 kilometre, how far is Bart from the Buoy? Regular pentagon ABCDE is formed by joining the midpoints of the sides of regular pentagon PQRST. What is the measure of PAB? 30º 36º 60º 72º Page 30