J1 Math (Term 2, 2010) - Exam Tips

Things that you MUST know for this coming exam from each chapter are as follow;

Chapter 1:
a) Order of Operators
Solve brackets first, then multiplications and divisions and then additions and subtractions.
Redo Rev Ex 1j - pg 14 (Questions 1 to 16)
It will be very helpful if you can make use of Commutative Law (pg 7), Associative Law (pg 7) and Distributive Law (pg 9) to simplify your calculations.
b) Average
Redo Ex 1i - pg 14 (all questions)

Chapter 2:
a) Important Terminologies
You need to know what are odd and even, factors and multipliers and prime and composite numbers. Of these, the most important one is prime numbers. Try to memorise prime numbers until 100.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101
b) H.C.F and L.C.M.
Must know how to find these. Also must know what to do with remainders. For H.C.F., minus the remainder from the numbers first before dividing. For L.C.M., divide first then add the remainder to L.C.M.
Redo Ex 2e - pg 24 (Questions with remainder) and Rev Ex 2f - pg 25 (Question 6)

Chapter 3:
a) Arithmetical Operations on Fractions
Similar to the order of operations in Chapter 1.
Redo Ex 3h - pg 44 (all questions)
b) Complex Fractions
When you are faced with these fractions, always solve the shortest dividing line first.
Redo Ex 3i - pg 47 (all questions)
* Redo Rev Ex 3k - pg 55 (Questions 1 - 15) for the overall strengthening of the needed conceptual skills.

Chapter 4:
a) Order of Operations on Decimal Numbers
This section is always mixed with other number types like + integers, - integers, fractions and percentages in arithmetical questions. As long as you do not mix up the order of operations as in Chapter 1, you will be okay.
b) Significant Figures and Standard Form (Scientific Notation)
Make sure you know what are these. Refer to pg 71 and 72 to refresh your memory.
Redo Ex 4h - pg 72, 73 (Questions 2, 3 and 4).
c) Metric System Conversion
Make sure you know how the conversions are done. These units normally are found in words problems. Do the following exercise for good revisions.
Redo Ex 4k - pg 82 (Question 1 to 9)

Chapter 5:
a) You must be able to change different number types into fractions and also the opposite way.
Redo Ex 5a - pg 87 (all questions)
b) Understand how to solve percentage change
Redo Ex 5c - pg 93 (Questions 1 to 10)
c) Percentage Profit and Loss
Redo Ex 5d - pg 96 (Question 1 to 7)
d) Discount and Commission
Redo Ex 5e - pg 99 (Question 1 to 5)
e) Simple Interest.
Remember two formulae, the I and Amount.
Redo Ex 5f - pg 103 (Questions 1 to 5

Chapter 6:
a) Arithmetical Order of Positive and Negative Numbers.
The order of Operations in Chapter 1 applies here as well. Be careful as you will need to solve the postive
and negative symbols first before the numbers.
Redo Ex 6i -pg 128 (all questions0 and Rev Ex gj - pg 128 (Questions 3, 4, 5, 6, 7 and 8)
b) Index of the Positive and Negative Numbers
Redo Ex 6h - pg 126 (all questions)
c) Absolute Value
This is very easy but make sure to spot the sign correctly.
Redo Ex 6k - pg 130, 131 (Questions 2, 3, and 4)

Chapter 7:
a) Square Root Table
Must know how to use square root table to find square root numbers including those bigger than 99.99 and smaller than 1. Practice until you are sure.
Redo Ex 7f - pg 142 (Questions 13 to 28)
b) Cube Root
Memorise the following cube and cube root numbers.
1 cube = 1, 2 cube = 8, 3 cube = 27, 4 cube = 64, 5 cube = 125, 6 cube = 216, 7 cube = 343, 8 cube = 512, 9 cube = 729, 10 cube = 1000, 11 cube = 1331, 12 cube = 1728
Redo Ex 7g - pg 143 (all questions)
* Redo Rev Ex 7h - pg 145 (all questions) for good overall revision of this chapter.

Chapter 8:
a) Value of Algebraic Expression
If you can do the following exercises, you will be able to do the exam questions easily.
Redo Ex 8b - pg 151 (Questions 1 to 7)
b) Arithmetical Operations in Algebra
The Order of Operations is similar to Chapter 1. However, solve the + and - symbols first, then numbers (coefficient) and then the alphabets (variables).
Redo Ex 8e - pg 159 (all questions) and Rev Ex 8f - pg 160 (Questions 5, 6 and 7)
c) Algebraic Terminologies
Make sure you know what is constant, coefficient and variable.

If you go through the above exercises, the exam paper will not be difficult. Good luck and may peace be with you all. Should you have any questions on J1 Math, just post it on the Teacher Bobby page. I will answer from there.