23 March 2015

23 March, S3/4 - Year 7 (Book Review / Assessment)*

Assessment

Driving Question
What topics do you need to focus on in the future?



Driving Question
What is the greatest mathematical invention of all time?
Learning Objectives
Beginning
Read through your books and respond to any of your Mr Kent's comments or questions. 
Developing
Complete the "Next Step" activity in your book in the space provided. 
Mastering
To complete the Academic Habits sheet and set your next targets.

Starter

NRich: Magic Triangle


Tasks
Number the pages in your book.

Stick all sheets in.


Book Review

Exercise 1
Find the mean of these sets of numbers and explain how you found your answer:
1) 2, 5, 12, 12, 34, 32, 15, 9, 10

2) 2, 3, 2, 4, 3, 4, 56

3) Why was the mean average not very useful in question 2?


4) What is the missing number? 5, 6, 7, 12, ?  the mean is 8


Exercise 2
A car hire company charges using the following formula:

Cost = 10d + m

Where d = number of days and m = mileage.

Calculate the cost if:

a) d = 2, m = 100
b) d = 10, m = 200
c) d = 5, m = 30


Exercise 3
Find the Highest Common Factors of the following sets of numbers:

a) 10, 14
b) 12, 18
c) 20, 35
d) 55, 75
e) 50, 100

Explain your method.

Exercise 4
Find the prime factors of the following numbers:

a) 20

b) 18
c) 35
d) 175
e) 500
f) 300

Explain your method.


Exercise 5
Write down the first 6 terms of each of these sequences and write down the expression that generates the sequence.

Example: 2, 5, 8, 11, 14, 17...... 3n - 1

a) 2, 4, 6...
b) 3, 5, 7...
c) 10, 20, 30...
d) 4, 7, 10...
e) 1, 3, 5...
f) 50, 100, 150...

Explain your method.


Exercise 6
Write down the first 6 terms of each of these sequences.

Example: 3n - 1.... 2, 5, 8, 11, 14, 17...... 

a) 3n 
b) 3n + 1
c) 4n - 1
d) 2n + 4
e) 10n
f) 12n

Explain your method.


Exercise 7
Write down the answers to the following (be careful about your method).

a) 2 x 4 + 1
b) 4 + 5 x 2
c) 6 - 2 x 2
d) 10 x 2 - 8
e) 8 - 10 x 2
f) 2 x 6 - 3 x 3

Explain your method.