ANSWER ALL QUESTIONS

1. Mathematics vocabulary is essential for advancement in the subject. Which ONE of the following is NOT a true statement regarding fluency in mathematics?

AFluency in mathematics provides access to the whole world of mathematics.

BFluency in mathematics is beyond the reach of the majority of students at all levels of the school system.

CFluency in mathematics allows students to communicate by clarifying and justifying ideas and procedures.

DFluency in mathematics provides opportunities to engage in discussion, exploring, negotiating and sharing knowledge.

1. Regular polygons have lines of bilateral symmetry. How many lines of bilateral symmetry are there in a regular octagon?

A5 B 9 C 14 D20

3 Data can be represented graphically. Which ONE of the following is NOT a statistical graphs?

A Bar Graph B Histogram C Tree Diagram D Line Graph

4 A variety of methods are used for dividing a three-digit number by a one-digit number. Which ONE of the following is an appropriate method for a Grade 3 Class?

A Repeated subtraction B Repeated addition

C Factor reduction DLattice method

5 What is the formula for finding the Principal (P) in a Simple Interest problem where the Interest (I), Rate (R) and Time (T) are given?

A B C D

6 What is the face value of the digit 4 in the numeral 3421?

A 2 B 3 C 4 D 10

7 What is the additive identity on the set of rational numbers?

A -1 B 0 C 1 D

8 What is a mathematics problem for primary school children?

A A mathematical problem is amenable to beingrepresented, analyzed, and possibly solved, using the methods ofmathematics.

B A mathematical problem is amenable to being solved using the methods ofmathematics.

C A mathematical problem is amenable to being analyzed and solved using the methods ofmathematics.

D A mathematical problem is amenable to beingrepresented and analyzed using the methods ofmathematics.

9 Why is mathematics jargon essential to student achievement in mathematics?

A

B

C

D

10 What is size of an exterior angle of a regular pentagon?

A 30 B 60 C 72 D 90

11 What is the formula for generating the set of squared numbers?

A B C D

12 Two legs of a right-angled triangle are 16 cm and 12 cm. What is the length of the hypotenuse?

A 14 B 28 C 100 D 196

13 The exterior angle of a regular polygon is 36. How many sides does the polygon have?

A 5 B 6 C 8 D 10

14 A die is rolled twice. What is the probability of obtaining pairs of even numbers?

A B C D

15 A student scored 60% in a test. If the maximum mark possible was 40, how many marks did the student score on the test?

A 24 B 32 C 36 D 40

16 In a class of 120 students, 90 are girls. What is the probability that a student chosen at random is NOT a girl?

A B C D

17 A circle of radius 28 cm has an area equal to that of a square. What is the length, in cm, of the square when expressed in scientific notation to 3 significant figures?

A 99.3 B 70.2 C 49.6 D 13.3

18 What is the volume, in cm³, of a cube of edge 10.5 cm?

A 110.25 B 661.50 C 1157.63 D 1200.00

19 If it takes a speed-boat 4 hours to travel a distance of 450 km, what is the average speed, in km/h?

A 80 B 90 C 100 D 120

20

What is the area, in cm², of the shape above?

A 64 B 68 C 224 D 288

21 What is the simple interest on a sum of $40 000 for 3 months at a rate of 6% per annum?

A $600 B $800 C $1800 D $7200

22 A shopkeeper bought an item for $6000 and put a 10% mark up on the price tag. He organise a clearance sale by offering a 10% discount on the marked price. What was his percentage profit on the item when sold?

A 0% B 1% C 1.5% D 10%

23 When 0.123123123... is converted to a common fraction the result is

A B C D

24 What is the additive inverse of ?

A B C D

25 An example of the distributive law of multiplication over addition on the set of rational numbers is illustrated by ONE of the following

A ( x B (

C ( x D ( x

26 Consider the sequence 31, 41, 61, 71, ... What number in the sequence comes next?

A 81 B 91 C 101 D 111

27 To solve a mathematics problem, Polya developed a model. Which ONE of the sequences represents his model?

AUnderstanding problem;planning; performing the plan; confirmation of the answer

BReading and thinking; analyze and planning; getting the answer

CUnderstanding problem;solving the problem; stating the answer

DReading and thinking;organizing strategy; stating the answer

28 Describe the feelings of a student who has developed good comprehension skills in solving mathematics problems

29 All of the following are good reasons for expanding students' mathematics vocabulary EXCEPT

A Vocabulary is strongly correlated to reading comprehension.

B Vocabulary is a predictor of students' comprehension and content area learning.

C Vocabulary is a predictor of students' comprehension and content area learning.

DLack of vocabulary knowledge can marginally affect learning content .

30

n	1	2	3	4	5	6	7
Triangular Numbers	1	3	6	10	15	21	x

From the Table above, what is the value of x?

A 7 B 22 C 28 D 35

31 Which ONE of the following is the net of a triangular based prism?

A B C D

32 Twenty students each score a mark of 15 out of a maximum of 30 marks in a test. What is the standard deviation of the scores for the twenty students?

A 0 B 1 C 2 D

33 Twenty students each score a mark of 15 out of a maximum of 30 marks in a test. What is the mean score?

A 15 B 20 C 22.5 D 30

34 The area of a triangle is 34 cm². The triangle is enlarged by a scale factor of 2. What is the area, in cm², of the enlarged triangle?

A 17 B 36 C 68 D 136

35

How many triangles are there in the figure above? when n is even

when n is odd

A 16 B 18 C 24 D 27

36 The volume of a sphere is 3200 cm³. If the sphere is reduced by a scale factor of , what is the volume, in cm³, of the reduced sphere?

A 400 B 800 C 1600 D 2400

37 A rectangle has an area of 89 cm². If the length of the rectangle is doubled and the width halved, what is its area, in cm²?

A 44.5 B 89 C 133.5 D178

38 Arrange in descending order of magnitude.

A 91%, , B , C 91%, , D ,

39 Draw the graph to show the inequality -4

A B

C

D

40 Which ONE of the following is an example of a Pythagorean triplet?

A 12, 13,15 B 10, 24, 26 C 3, 4, 6 D 7, 8, 10

41 A car is travelling at a speed of 60 kmh^-1. When this is converted to ms^-1, the result is

A 16.7 B 1.67 C 0.167 D0.0167

42 A water tank can be filled by pipe A in 6 minutes and pipe B in 8 minutes. Pipe C can empty the same tank in 15 minutes. If all three pipes are turned on together, how many minutes will it take the tank to be filled?

A 1 B 4 C 29 D 30

43 One man can do a job in 12 days, another in 15 days and a third in 18 days. If they all work together at the same rate, approximately how many days will they take to complete the job?

A 3 B 4 C 5 D 6

44 A cylinder and a cone have the same dimensions. If the volume of the cylinder is 150 cm³, what is the volume, in cm³, of the cone?

A 50 B 75 C 150 D 450

45 The area, in cm², of triangle ABC is

A 18 B 24 C 30 D 40

46 When is simplified, the result is

A B C D

47 The number, 567.567, when written in scientific notion is

A 5.67568 x 10² B56.7568 x 10 C 567.568 x 10^-1 D5675.68 x 10^-2

48 The number, 567.567, when written to two significant figures is

A 567.57 B 57 C 570 D 570.00

49 Consider the following true statements:

(i) Teacher are dedicated.

(ii) Dedicated teachers motivate students to learn

(iii) Joe is a highly motivated student.

Which of the statements below is a valid deduction?

A Joe was taught by a dedicated teacher.

B Teachers who are not dedicated produce low achievers.

C Teachers who are not dedicated do not produce low achievers.

D Low achievers are taught by teachers who are not dedicated.

50 Consider the proposition: "If animals have wings, then they will fly." What is the converse of the proposition?

A Animals that do not have wings cannot fly.

B Animals that cannot fly do not have wings.

C Animals without wings can fly.

D Animals that fly have wings.

51 Which ONE of the following graphical displays can be used to construct a frequency polygon?

A Pie Chart B Bar Graph C Histogram D Line Graph

52 Two dice are tossed together. How many outcomes are possible?

A 6 B 12 C 24 D 36

53 Which ONE of the following measures of central tendency does NOT require a calculation?

A Mean B Median C Mode D Percentile Rank

54 How many edges are there in a regular pentahedron?

A 5 B 6 C 8 D 12

55 Which ONE of the following is true for two congruent triangles?

A Three sides of one triangle is equal to three sides of the other each to each.

B Two angles of one equal to two angles of the other and a corresponding side equal.

C Two sides of one triangle equal to two sides of the other and the included angles equal.

D Three angles of one equal to three angles of the other each to each.

56 Concert 0.005 to a percentage.

A % B 5% C 50% D 500%

57 Simplify

A 9 B 9² C 9³ D 9⁴

58 A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in cm, of the triangle?

A 13 B 26 C 39 D 52

59 Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km ahead of Car A. Car A is travelling at 60 km^-1 while Car B at 50 km^-1. They both start at 12:00 hours. At what time Car A will overtake Car B?

A 13:00 hours B 14:00 hours C 15:00 hours D 16:00 hours

60 Arianna bought a calculator for $12 000. She had to pay a sales tax of 10% on the price. How much change would she receive from $14 000?

A $800 B $1200 C $2800 D $3200