Maths Diagnostic Test

Questions and Answers

Which of the following is not the characteristic of a quadratic function?

The axis of symmetry is parallel to the x-axis. (correct)

Has a minimum point or a maximum point.

The graph is parabolic shape.

Many-to-one relation

Which of the following pairs represents the roots of the quadratic equation $x^2 - 5x + 6 = 0$?

(2, 3) (correct)

(1, 6)

(3, 2) (correct)

(0, 6)

What is the result of adding the two matrices $A = \begin{pmatrix} 1 & 2 \newline 3 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 5 & 6 \newline 7 & 8 \end{pmatrix}$?

$\begin{pmatrix} 5 & 7 \newline 9 & 12 \end{pmatrix}$

$\begin{pmatrix} 1 & 2 \newline 3 & 4 \end{pmatrix}$

$\begin{pmatrix} 8 & 10 \newline 10 & 12 \end{pmatrix}$

$\begin{pmatrix} 6 & 8 \newline 10 & 12 \end{pmatrix}$ (correct)

Which of the following represents a linear function?

$y = 2x + 3$ Signup and view all the answers

Two pupil representatives are chosen from 8 pupils of form five and 7 pupils of form six to attend a national conference. Find the probability that both pupils chosen are form five?

$4/15$ Signup and view all the answers

Match the following types of matrices with their definitions:

Identity Matrix = A square matrix with 1s on the diagonal and 0s elsewhere Zero Matrix = A matrix in which all the elements are zero Diagonal Matrix = A matrix where all the off-diagonal elements are zero Transpose Matrix = A matrix obtained by swapping rows and columns of the original matrix Signup and view all the answers

Rajan has sit for an aptitude test for the admission to a college. If Rajan obtained a score of 81 and it is also the third quartile score, what is the percentage of score at or below Rajan's scores?

75% Signup and view all the answers

The average mass of 5 packets of flour is 2.4 kg. The mass of three packets of the flour are 780 g, 1.3 kg and 2.6 kg respectively. The mass of the other two packets are the same. Find the mass, in kg, of the fourth packet of flour.

3.66 Signup and view all the answers

Mrs Amrita's salary is 50% of her husband's salary. If her husband's salary is RM4000, find their total salaries in a month.

RM6000 Signup and view all the answers

A shop offers rebate coupons of RM5 each for every purchase of RM50. Mrs Azrina buys items that cost RM948. How many rebate coupons will she receive?

18 Signup and view all the answers

Study Notes

Quadratic Functions

Characteristics of a quadratic function include a parabolic graph, which forms a U-shape that opens either upwards or downwards, depending on the sign of the x squared term. The point at which the parabola changes direction is known as the vertex, and it exhibits symmetry about a vertical line, called the axis of symmetry. Additionally, the quadratic function has either a maximum point, if it opens downward, or a minimum point, if it opens upward.

Linear Functions

A linear function is defined by the formula (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Probability

The probability of an event happening is: the desired outcomes/the total outcomes.

Quartiles and Scores

If a score represents the third quartile (Q3), it means that 3/4 of the scores in the data set fall at or below this value. This statistical measure is crucial for understanding score distribution and identifying performance thresholds among the students.

Mean Calculation

The average or mean of a set of data values is the sum of them divided by the number of data values

Description

This test is an assessment tool used to evaluate your knowledge, skills, or abilities in Mathematics. Most importantly, we would like to identify your strengths and weaknesses, before starting Mathematics 2 course, enabling targeted intervention and support.