Choose a circle to show how much each sentence is like you Very Unlike Me Unlike Me Like Me Very Like Me 1 2 3 4 01. I think maths is exciting and interesting. 02. I never get tired of doing maths. 03. I like to do and think about maths outside of school. 04. I think maths helps me to understand life. 05. I think that maths helps people make important decisions. 06. Maths is NOT boring. Page 1
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 P03. What fraction of this circle is shaded? Page 2
P04. Match the sentence with the correct shape. 1. I have three sides 2. I have 4 sides a. b. c. P05. Which numbers make this number sentence TRUE? 1 2 3 4 5 P06. Put the numbers 1, 2, 3, and 4 in the boxes to order these numbers from biggest (1) to smallest (4). 3 7 2 0 Page 3
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
01. Which BEST describes the location of the duck pond in the figure below? (5, 6) (6, 7) (7, 0) (7, 6) 02. Simon wants to watch a film that is between 1 1 2 Which of the following films should he choose? and 2 hours long. A 59-minute film A 102-minute film A 121-minute film A 150-minute film Page 5
03. The diagram below shows a geometric figure on a coordinate plane. Which of the diagrams below shows a rotation of this geometric figure? Page 6
04. Look at the shape below. How many edges are there in this rectangular prism? 6 4 12 8 05. The map below shows the starting positions of two scientists studying plants in a rain forest. Which ordered pair BEST names Joe's location? (3, -4) (-3, 4) (4, -3) (-4, 3) Page 7
06. Omar is designing a garden around a circular fountain. He plans for the garden to have a 60º rotational symmetry about the centre of the fountain. Which of the following shaded designs for the garden would satisfy Omar's plan? Page 8
07. Which two triangles are similar? I and II I and IV II and III II and IV III and IV 08. 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. 09. Alice is looking at a map to see how far it is from her home to the state fair in Pueblo. The scale in the map is 1 centimetre = 125 kilometres. The distance between her home and the state fair is 1.5 centimetres on the map. What is the actual distance between Alice's home and the state fair? 83.5 kilometres 175.5 kilometres 187.5 kilometres 250 kilometres Page 9
10. 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) 11. The coordinates of the square and the circle on this graph are (2, 1) and ( 2, 3) (-1, -2) and (3, -2) (1, -2) and (-3, -2) (-2, 1) and (-2, -3) Page 10
12. Marissa and Jimena each conducted 75 trials of the same experiment at the miniature golf course. The bucket had only green, red, and yellow golf balls. Each girl randomly selected golf balls from the bucket. Each girl recorded the colour of the golf ball, replaced it, and then chose another golf ball. Which statement is BEST supported by these results? There are more green balls in the bucket than yellow balls. There are twice as many red balls in the bucket as green balls. There is the same number of green, red, and yellow balls in the bucket. There is the same number of green and red balls in the bucket. 13. 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. Page 11
14. If quadrilateral QRST is reflected across the y-axis, what will be the coordinates of point Q? (-2, 4) (-2, 1) (-1, 2) (-1, 4) 15. From any vertex of a 4-sided polygon, 1 diagonal can be drawn. From any vertex of a 5-sided polygon, 2 diagonals can be drawn. From any vertex of a 6-sided polygon, 3 diagonals can be drawn. From any vertex of a 7-sided polygon, 4 diagonals can be drawn. How many diagonals can be drawn from any vertex of a 20-sided polygon? Page 12
16. When the rectangle below is folded along the dotted line, point P will touch which of the lettered points? A B C D E Page 13
17. The diagram below shows ΔPQR on a coordinate plane. Which of the following is the result of a reflection of ΔPQR? Page 14
18. Cherie cut four congruent triangles off the corners of a rectangle to make an octagon, as shown below. What is the area of the shaded octagon? 128 cm 2 136 cm 2 140 cm 2 152 cm 2 Page 15
19. A lighthouse tower is 64 metres tall. The point P is on the same level as the base of the tower. The angle of elevation from P to the top of the lighthouse tower is 50º. The correct diagram for this information is: Page 16
20. If trapezium KLMN shown below is reflected across the x-axis to form trapezium K'L'M'N', what is the resulting coordinate of point M'? (-4, 5) (-4, -5) (4, -5) (4, 5) Use the following information to answer question21.. In this figure, lines AB and CD are parallel. Page 17
21. Two angles whose measures must add up to 180º are h and b g and f a and c a and e h and d End of Section 22. If AD = BD = BC and the measure of ADB is twice the measure of BDC, what is the measure of ABC? 70º 80º 90º 100º Page 18
23. Which of the following triangles is similar to the triangle shown below? Page 19
24. Line m is represented by the equation y = 4. Which ordered pair is located on line m? (1, 4) (0, 0) (4, 1) (4, 0) 25. These triangles are the same size and shape. The measures of some of the sides and angles are shown. What is the value of x? 52 55 65 73 75 Page 20
26. Alice stood in front of a large mirror and rotated her left hand clockwise. When she looked at her reflection in the mirror which of the following did she observe about her image? Her image's right hand moving anticlockwise. Her image's left hand moving anticlockwise. Her image's right hand moving clockwise. Her image's left hand moving clockwise. 27. Two figures are similar. Two of the following statements are incorrect. Which two? A. The angles measures are the same. B. The sides have the same length. C. The figures have the same area. D. One figure is an enlargement of the other figure. A, B B, C C, D A, D 28. This match is 5 cm long, 2 mm wide and 2 mm high. Give the dimensions of a matchbox that could hold exactly 50 of these matches. length width height Page 21
29. Triangles ABC and DEF are similar. The lengths of the sides of ΔDEF are 3 times the lengths of the corresponding sides of ΔABC. How do the ares of the triangles compare? The area of ΔDEF is 3 times the area of ΔABC. The area of ΔDEF is 4 times the area of ΔABC. The area of ΔDEF is 6 times the area of ΔABC. The area of ΔDEF is 9 times the area of ΔABC. 30. Select TRUE or FALSE for the statements below. When using a negative scale factor of enlargement - Object and image are on different sides of the centre of enlargement. All sides are multiplied by the same scale factor. The area of the images is always larger than the object. TRUE FALSE 31. QRST is a parallelogram. What are the coordinates of the vertex S? (c, b ) (a + b, c ) (c - a, b ) (c + a, b ) Page 22
32. Choose the figure below that fits the description. Triangle PQR is a right angle triangle with right angle at R. The line RQ is less than the line PR. M is the midpoint of the line PQ and N is the midpoint of the line QR. S is a point inside the triangle. The line MN is greater than the line MS. Page 23
33. A half-turn around point T followed by a reflection in the horizontal axis is applied to the shaded figure. Which of these shows the result of the combined transformation? Page 24
34. Kim is making pizza for the school carnival. If the radius of the pizza is doubled, how will the area change? The area will remain the same. The area will be two times as large. The area will be three times as large. The area will be four times as large. 35. Calculate the value of x. x = 36. Brighto soap powder is packed in cube-shaped cartons. The side of each carton measures 10 cm. The company decides to increase the length of each edge of the carton by 10 per cent. If the original volume was V what is the new volume? V 10% V 110% V (110%) 3 V (10%) 3 Page 25