S2 3rd Level Assessment
1.
Work out the answer to each of the following. Give all answers in their simplest form.
a)
2.
2
3
+
5
6
b)
3
4
−
5
c) 8 x
4
9
Solve each of these equations:
a) 3m – 7 = 32
3.
2
5
b) 7t – 18 = 4t
c) 9x + 8 = 2x – 41
Calculate the area of the parallelogram shown here
8cm
4.
d) 5a + 12 = 2a + 6
7cm
12cm
Calculate the size of each marked angle in the diagrams below.
a)
b)
41°
127°
83°
*
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5.
Rebecca is 5 years older than Alison and their combined ages total 47. Let x years be Alison’s
age.
a) Write down an expression for Rebecca’s age.
b) Make up an equation and solve it to find the ages of both girls.
6.
A dentist uses quarter circles to represent teeth in a new sign for his surgery. Each quarter circle has a
radius of 26cm.
a) Find the area of one “tooth”
b) Work out the total area of his sign.
7.
a) Write all the factors of 60
b) State the lower common multiple of 3, 4 and 5.
c) Express 60 as a product of prime factors.
8.
Rhona’s report card had the following scores for recent tests.
Maths
24
34
English
17
25
Spanish
14
19
Work out the percentage score for each of Rhona’s test and state which subject she did best.
9.
10.
A bag contains balls numbered 1 to 30. Work out the probability of each of these events:
a) P(even number over 12)
b) P(factor of 24)
c)P(multiple of 9)
d) P(odd over 29)
An Arbelos is a shape made of 3 semicircles as shown. Work out the perimeter of this arbelos.
24cm
6cm