NAPLAN Year-9 Numeracy Practice Test 3

Time Allowed: 24 min


Question 1:   Factorise:  8x3 − 1 =

(A) (2x − 1)(4x2 − 2x + 1)
(B)
(2x − 1)(4x2 + 4x + 1)
(C)
(2x − 1)(4x2 − 4x + 1)
(D)
(2x − 1)(4x2 + 2x + 1)

Question 2:  Find α+β+δ:

(A) 360
(B)
180
(C)
400
(D)
380

Question 3:   Find α

(A)α= 55∘
(B)α=57∘
(C)
α=38∘
(D)
α=66∘

Question 4: What is the probability of throwing 4 or 5 with a dice?

(A)
(B)

(C)

(D)
¼

Question 5: Multiply: 81.534 x 10⁴

(A) 8153400
(B)
8153.4
(C)
81534
(D)
815340

Question 6:   Solve 2² x 3 x 5

(A) 30
(B)
50
(C)
48
(D)
60

Question 7:  A side of the base of the triangular pyramid equals  a=4cm and  b=5cm .  Find an area of the side of the pyramid.

(A) 45cm²
(B)
30cm²
(C)
25cm²
(D)
10cm²

Question 8: Calculate a volume of the pyramid, with a rhombus in the basis with diagonals  4cm, 6cm and a height of a pyramid 10cm.

(A) 40cm³
(B)
25cm³
(C)
20cm³
(D)
35cm³

Question 9: What is HCF (the highest common factor) of 15 and 20 ?

(A) 10
(B)
3
(C)
5
(D)
2

Question 10: Convert ⅜  to decimal form

(A) 0.3
(B)
0.35
(C)
0.375
(D)
0.4

Question 11: There are 6 green and 4 purple balls in a box. How many purple balls must be added to the box, so that probability of picking a purple ball is ⅔?

(A) 8
(B)
12
(C)
3
(D)
10

Question 12:  Find the length of the side a

(A) 5
(B)
4
(C)
3
(D)
2