(a) Number and Algebra

(iii) Number operations and algebra

 

Question 1
Complete the statement below to illustrate the meaning of the commutative law for
=

Question 2
Complete the statement below to give a counter example to show that the commutative law is not true for

Question 3
Insert brackets in the statement below to illustrate the associative law for addition.

=

Question 4
Insert brackets in the statement below to give a counter example to show that the associative law is not true for subtraction.


Question 5
Use the distributive law to complete the statement below as an efficient mental method to calculate the answer.
=
+
=

 
Question 6
Write the number in terms of its prime factors.
=

 
Question 7
What is the highest common factor of the numbers ?
Highest common factor =

 
Question 8
What is the lowest common multiple of the numbers ?
Lowest common multiple =

 
Question 9
Cost =

 
Question 10
Divide between three brothers, Tim, Chris and Andrew, in the ratio .
Tim gets Chris gets Andrew gets

 
Question 11
Simplify, as far as possible:
(a)=
(b)=

 
Question 12
Factorise:
(a)=
(b)=

 
Question 13
Rearrange the formula:
y =
1
x-
to give x as a function of y.
You should simplify your answer and multiply out any brackets.
x =

 
Question 14
The relationship between temperature in C (degrees Celsius) and temperature in F (degrees Fahrenheit) is given by the formula:
F=
9
5
C+32

What is the temperature in F when it is
(a) C= F
(b) C= F

 
Question 15
Write down the first five terms of the sequence, un, defined by
un=

Question 16
Write down the next five terms of the sequence

Write down an expression for the nth term of the sequence.
Simplify your answer and multiply out any brackets:

 

Assessment
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Produced by Al Reynolds - September 2001 - Revised March 2003