Student Name: _________________________
Teacher’s Name:________________________
KNOX GRAMMAR SCHOOL
2020 Assessment Task 2
Year 10 Core 1 Mathematics
Date: Wed, 10 June 2020
Total Marks – 30
Working time – 40 minutes
General Instructions

Questions are worth one mark each.

Write your answers on the multiple choice answer sheet only.

Board approved calculators are permitted in this task.

This paper MUST NOT be removed from the examination room
Total Mark
+++
/30
/40
1
1.
What is the gradient of this line?
A)
3
2
B) 
C)
3
2
2
3
D) 
2
3
2.
The equation of line A is y  x . What is the equation of line B?
A) y   x
B) y 
5
x
2
C) y  x  2
D) y  x  3
2
3.
Which of these lines is perpendicular to y  2  5 x and also passes through (5, 0)?
A) y 
x
1
5
B) y 
x
1
5
C) y  5 x  25
D) y  5 x  25
4.
1
Which of these lines is not parallel to y  x  4 ?
3
A) 2 x  3 y  5  0
B) y 
4x  7
12
C) x  3 y  6  0
D) y 
5.
2x  5
6
Two coordinates that lie on the line 8 x  2 y  4  0 are:
A) (3, –10) and (2, 0)
B) (3, –10) and (0, 2)
C) (0, 2) and (–10, 3)
D) (2, 0) and (–10, 3)
6.
The equation of the linear graph passing through (7, 1) with gradient 3 is:
A) 3x  y  20  0
B) 3x  y  20  0
C) 3x  y  20  0
D) 3x  y  20  0
3
7.
y  2x 1
(i)
y  3x  5
(ii)
Substituting 2x 1 from equation (i) for y in equation (ii), you will get:
A) y  3(2 x  1)  5
B) 2 x 1  2 x 1
C) 2 x 1  3x  5
D) 5  3x  2 x 1
8.
The graph of 3x  2 y  6 is:
A)
B)
C)
D)
4
9.
PQRS is a parallelogram. One line of the following proof is missing.
In ΔPQR and ΔRSP,

∠QPR = ∠SRP (alternate angles, PQ || SR)

___________________________________

PR is a common side.
Therefore ΔPQR ≡ ΔRSP (AAS)
Which is the missing line?
A) ∠PQR = ∠RSP (co-interior angles, PQ || SR)
B) ∠PRQ = ∠SPR (corresponding angles, PS || QR)
C) ∠QRP = ∠SPR (alternate angles, PS || QR)
D) ∠QRP = ∠SRP (co-interior angles, PQ || SR)
10.
Which of these pairs of triangles are congruent?
A) ΔABC and ΔBCD
B) ΔBCE and ΔDAE
C) ΔDCE and ΔDAE
D) There are no congruent triangles.
5
11.
Chris is proving that ΔABC ||| ΔEDC.
He marked ∠BAC and ∠DEC as being equal. Which reason could he give for that?
A) Alternate angles, AB || DE
B) Corresponding angles, AB || DE
C) Corresponding angles in congruent triangles
D) Vertically opposite angles
12.
The equation of the straight line connecting the points (1,1) and (4,6) is:
A) y 
5
2
x
3
3
5
8
B) y   x 
3
3
5
8
C) y  x 
3
3
D) y 
13.
3
2
x
5
3
In the diagram below ABC  DCB.
Which of the following statements is not correct?
(A)
BD  CA
(B)
BC is common
(C)
DBC  ACB
(D)
ABD  ACB
6
14.
What is the value of m in this diagram?
A) 80
B) 70
C) 60
D) 40
15.
What is the value of x ?
A) 20
B) 30
C) 38
D) 68
16.
AC and BD are corresponding sides of the congruent triangles:
A) AED and BEC
B) ABE and CED
C) ABE and ADE
D) ABC and ABD
7
17.
Rectangle B is twice as long as rectangle A.
The perimeter of rectangle A is 38 cm while the perimeter of rectangle B is 62 cm.
Choose the two equations that represent these dimensions.
A) 2 x  y  38 and x  2 y  62
B) x  y  38 and x  2 y  62
C) 2 x  2 y  38 and 2 x  2 y  62
D) 2 x  2 y  38 and 2 x  4 y  62
18.
The equation of the line that is perpendicular to x  5 y  10  0 and has the same y
intercept is:
A) y  5 x  2
B) y  5 x  2
C) 5 x  y  2  0
D) x  5 y  2  0
19.
Which of the following statements is not true?
A) ABC  ABD
B) A  C
C) BD is perpendicular to AC
D) D is the midpoint of AC
8
20.
Jack found the equation of the line that passed through (1,5) and (2,10) to be
3x  2 y  13 . Which of these statements is true?
A) Jack is correct since both points satisfy the equation
B) Jack is incorrect since only (1,5) satisfies the equation.
C) Jack is incorrect since only (2,10) satisfies the equation.
D) Jack is incorrect since neither of the points satisfies the equation.
21.
Jake was asked to calculate the distance of AB . His correct calculation is shown
below:
By using the values in these calculations, the gradient of AB is:
A)
9
16
B)
16
9
C)
4
3
D)
3
4
9
22.
The two angles marked c and g are:
A) Equal because they are vertically opposite
B) Equal because they are alternate angles on parallel lines
C) Equal because they are co-interior angles on parallel lines
D) Equal because they corresponding angles on parallel lines
23.
Which pair of these triangles are congruent?
A) ΔABC ≡ ΔDEF
B) ΔABC ≡ ΔGHI
C) ΔGHI ≡ ΔDEF
D) None of the triangles are congruent
24.
The equation of a horizontal line passing through the point (4,8) is:
A) x  4
B) x  4
C) y  4
D) y  4
10
25.
The midpoint of the line segment AB is (3, 2) . If the coordinates of A are (10,7) , the
coordinates of B are:
A) (0, 6)
B) (1,1)
C) (5,9)
D) (4, 11)
26.
In the diagram, ΔABE ||| ΔACD. The incorrect statement is:
A)
EB DC

AB AC
B)
AB BE

AC CD
C)
AB BE

BC CD
D)
CA DA

BA EA
11
27.
The equation of the linear function below is:
A) y  2 x  4
B) y  2 x  6
C) y  2 x  8
D) y  2 x  10
28.
The value of x in the diagram below is:
A) x  150
B) x  151
C) x  152
D) x  153
12
29.
The inequality representing the x values on the number line below is:
A) 7  x  9
B) x  7
30.

C) 7  x  9

D) 7  x  9

A downhill section on a rollercoaster can be represented by 0  4 x  2 y  6 .
 What would the gradient be for an uphill section of the rollercoaster that is
perpendicular to the downhill section?
1
A)
2
B) 4
C) 2
D) 2
13