# SECONDARY 1 MATH | IMPORTANT TIPS FOR EXAM PAPER 1

Fact: math isn’t easy. Parents think about questions like, what can I do to help my teenage kid with their math struggles and can a math tutor be the solution to my kid’s math struggle?

Students and parents will know the familiar decoys that causes the common mistakes made in the Secondary 1 Math Paper 1. Don’t be dismayed if your kid is a frequent producer of errors.

The following list shows the questions that students often make mistakes in. This list calls attention to these mistakes and the recommended approach to attempt such questions.

1. ## Highest Common Factor (HCF) & Lowest Common Multiple (LCM)

The highest common factor (HCF) of two whole numbers is the largest whole number, which is a factor of both.

Example

12 & 15

Factors of 12: 1, 2, 3, 4, 6, 12.

Factors of 15: 1, 3, 5, 15.

Common factors: 1 & 3

Highest common factor: 3

A gift shop uses 1155 boxes of chocolates, 462 bottles of wine and 693 tins of cookies to make as many gift hamper as possible. Each hamper has the same number of boxes as chocolates, the same number of bottles of wine and the same number of tins of cookies.

1. What is the greatest number of gift hampers that can be made?
2. How many boxes of chocolates, bottles of wine and tins of cookies are there in each gift hamper?

The lowest common multiple (LCM) of two whole numbers is the smallest whole number which is a multiple of both.

Example:

12 & 15

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, ….

Multiples of 15: 15, 30, 45, 60, 75, 90, ….

Common multiple(s): 60

Lowest common multiple: 60

Four traffic lights along a street turn red at regular intervals of 1 minutes, 1 minute 10 seconds, 1 minute 18 seconds and 1 minute 31 seconds respectively. Occasionally all four traffic lights will turn red simultaneously. If all the traffic lights turned red simultaneously at 0830, find the next time when this occurs again.

1. ## Prime factorization

When doing the working for the prime factorization (ladder working), the number on the left MUST be prime number.

*A prime number is a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).

1. ## Square root / cube root

Finding the square root of a number means finding a number that when multiplied by itself gives you the original number.

For example, 7 x 7 = 49, Hence, the square root of 49 is 7.

When doing square root or cube root of a number, the index MUST be:

1. Square root → even number
2. Cube root → multiple of 3

1. ## Algebra

Algebra means to find an unknown or solving equations with variables.

For example:

6x – 8 = 40

X is the unknown to be solved.

*Do it with the sign in front and do not copy the sign on top.

1. ## Fraction

Fraction is an interesting topic. A fraction represents a part of a whole. It consists of a numerator and a denominator.

The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.

When simplify to a single fraction.

1. Step 1 – make the denominator the same
2. Step 2 – combine them with bracket

We know that excelling math takes a lot of practice, home tuition lessons, a positive and right attitude, and

But the adage that learning math takes loads of work and practice is of no good when the midterms exams are almost coming up.

So, try your hand at imparting these important tips to your kid to maximize their math problem-solving potential at the Secondary 1 Math paper.