Number & Algebra
29 marks from 29 questions
Question 1
For b = 3, expand and evaluate b 4:
b4 = b × b × b × b
=
×
×3×3
=
Question 2
Write (–d )3 in expanded form.
(–d )3 =
×
Question 3
×
=
a.
b.
c.
d.
Question 4
Question 5
12p0 ÷ 120 =
Question 6
Evaluate:
(5r0 + 3)2 =
×
Question 7
(m4)6 ÷ m10 = m
Question 8
(xa)b ÷ x2 = x14
If a = 2, then b =
.
Question 9
(2k5)2 × (2k5)2 =
k
Question 10
(2q8)3 ÷ (2q8)2 =
q
Question 11
Evaluate (2–4)0.
(2–4)0 =
Question 12
Written as an improper fraction:
Question 13
Evaluate each term.
8
Question 14
Select the true statement.
a.
is a rational number.
b.
is an irrational number.
c.
is not a real number so it is neither rational nor irrational.
Question 15
Evaluate
.
=
Question 16
In this triangle, the hypotenuse length is:
a.
rational
b.
irrational
c.
not a real number
Question 17
Evaluate
.
1
Question 18
Evaluate
.
Question 19
The recurring decimal
can be written as a fraction where the numerator and denominator are
integers and the denominator ≠ 0.
This fraction =
1
Question 20
Evaluate
.
Question 21
Evaluate
.
=
Question 22
How is
written in index form?
a.
=
b.
=
Question 23
Evaluate
.
=
Question 24
Evaluate
.
Question 25
Which of the following has correctly used the HCF to factorise
?
a.
b.
c.
d.
Question 26
Complete the factorisation below. List any pronumerals in alphabetical order.
Question 27
Factorise
a.
b.
c.
d.
Question 28
Factorise
a.
b.
c.
d.
Question 29
Factorise
a.
b.
c.
d.