General Mathematics Sample assessment 2020, Study notes of Mathematics

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General Mathematics

Paper 1

Sample assessment 2020

Multiple choice question book

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QUESTION 2

The graph below shows the relationship between the amount owed and time taken to repay a reducing

balance loan.

Time (months)

Amount owed ($)

The owed amount will be reduced to half the original amount borrowed in

(A) 60 months.

(B) 81 months.

(C) 112 months.

(D) 162 months.

QUESTION 3

The graph below has six vertices.

The vertex with the smallest degree is

(A) 1

(B) 2

(C) 3

(D) 4

QUESTION 4

A sequence is defined by

Given that 𝑎 4 = 56 , the value of 𝑎₂ is

(A) 14

(B) 28

(C) 42

(D) 70

QUESTION 7

To calculate the number of degrees of longitude across the Earth’s surface for a time zone difference of

one hour, use

(A)

(B)

(C)

360

12

(D)

QUESTION 8

Activities A, B, C, D, E, F, G, H and J must be completed for the project shown in the network.

Activity times are in minutes.

Start

A, 4

B, 10

D, 10

C, 3

E, 5

G, 7

F, 1

H, 6

J, 4

Finish

The earliest starting time in minutes for Activity J on the network diagram above is

(A) 16

(B) 15

(C) 13

(D) 11

QUESTION 9

J

R

N

M

Q

K

L

P

The edges J, R, M, P, P, Q on the network diagram above make

(A) a path.

(B) a cycle.

(C) a closed trail.

(D) an open walk.

QUESTION 10

The fourth, fifth and sixth terms of a geometric sequence are 7.5, 3.75 and 1.875 respectively.

The sum of the first and second terms in the geometric sequence is

(A) 15

(B) 30

(C) 45

(D) 90

QUESTION 13

For a personal loan of $350, a payment of $60 is made after interest is added each month. The following

recurrence relation shows the remaining balance at the end of consecutive months. The recurrence relation is

The remaining balance after two months is

(A) $191.

(B) $242.

(C) $245.

(D) $298.

QUESTION 14

Identify the planar graph that has four faces.

(A) (B)

(C) (D)

QUESTION 15

The prime meridian is located at

(A) 0° latitude.

(B) 0° longitude.

(C) the intersection of 0° latitude and 0° longitude.

(D) the intersection of 0° latitude and 180° longitude.

QUESTION 16

Determine the value of the cut made on the network diagram below.

D

E

C

A

F

B

Cut

(A) 160

(B) 170

(C) 180

(D) 240

QUESTION 19

An investment of $10 000 is made at an interest rate of 7.5% per annum compounding half yearly.

The number of years it will take for the value of the investment to exceed $18 000 is

(A) 7

(B) 8

(C) 15

(D) 16

QUESTION 20

Fitting a least-squares line to create a model from a set of time series data ensures that

(A) the distances between the data points and the line of best fit are minimised.

(B) the same number of data points are above and below the line of best fit.

(C) the distances between the data points and the axes are minimised.

(D) the least-squares distances of all data points are added together.

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