S2 Mixed Homework 1 (U) – Pythagoras Theorem Focus

St. Modan’s High School – Mathematics Department
S2 BGE Homework 1
Mixed with a focus on Pythagoras’ Theorem
1 Calculate the following, showing all working clearly:
a
2
𝑜𝑓 £84
3
b
15% 𝑜𝑓 260𝑘𝑔
c
3 3
−
4 5
2 Calculate the area of the following quadrilateral:
7cm
12cm
3 Calculate the following, showing all working clearly:
52 + 23
a
b
√36 + √49
c
√122 + 52
4 Calculate the missing value x in each of the following:
a
b
17cm
8mm
23cm
6mm
Questions 5 and 6 are over the page
5
A rectangular jigsaw measures 65 cm by 52 cm.
What length is its diagonal?
52cm
65cm
6
An Isosceles triangle is created with the
dimensions as shown.
12m
Calculate the height of the triangle.
15m
Mathematical Literacy (main points):
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
Quadrilateral: Any 4-sided shape
Diagonal: Any line that joins 2 corners of a shape but is not one of the sides
Isosceles Triangle: A triangle which has a pair of equal sides and a pair of equal angles