Whole Number

Anwer all of the following.

1. Round off 29580 to the nearest hundreds.

2. Calculate
(a) 280 - 3x20 - 70

(b) (320 - 160)/4

3. Calculate
(a) 75x15

(b) 84-3x21+28

4. Safri, Aman and Dan has 120 , 78 and 102 marbles respectively. What is the total of their marbles ?

5. Rosie spends RM15 for T-shirt and RM17 for a blouse at a supermarket. If she paid RM50 note, what is the balance she received from the cashier ?


Happy Trying!

Linear Equation

Linear Equations



Answer all of the following



1. Find the value of x

(a) 2x+5=6

(b) 3x-7=14



2. Find the value of y

(a) 3y+y=16

(b) (½)y=-11



3. Solve the following equation

(a) 3p-1=11

(b) (¼)p =2



4. Solve the following equation

(a) 7(h-5)=35

(a) (¾)(m-2)=3



5. Solve

(a) -4(t+3)=12

(b) (5-x)÷(x-2)=3



Happy trying !

POLYNOMIAL

nswer all of the following

1. Given that a polynomial P(x) =4x^3-8x^2-x+2.

(a) Show that x-2 is a factor of P(x)

(b) Factorise P(x)

(c) Find the zeroes of P(x)

(d) Find the solution set for P(x) > 0


2. Express (8x+4)/(x^2+2x-3) as partial fractions.


Happy trying! Email me your answer!

Quadratic Expression

Answer this question

1. Show that the quadratic f(x)=3x^2 - 6x+7 is always positive for all values of x.

2. Express x^2-4x+7 in the form a(x+p)^2+q and sketch the curve.

3. Express -x^2-2x+3 in the form a(x+p)^2+q and sketch the curve.

4. Write the following quadratic expressions in completed square form and sketch the graphs.

(a) x^2+4x+9

(b) 3x^2-18x-25

Happy trying...

Simultaneous Linear Equation

Answer all the following simultaneous linear equations:

1. x+y=2
2x- y=7

2. p - q=-6
p+3q=-2

3. 4m-n=3
2m+n=0

4. Given y=2x-5
(a) Find y when x=2
(b) Find x when y=o

5. Given h=(1/2)m +3
(a) Find h when m=10
(b) Find m when h=0


Enjoy trying!

DECIMALS : Addition and Subtraction

When you add or subtract 2 decimals, aligned the number according to its place value. Retain the decimal point.

Try the following question.

1. Find 2.5 + 1.3

2. Calculate 12.8+0.22

3. Calculate 8.4+7.2

4. Calculate 15+9.4

5. Find 12.01+0.38+270.781

6. Find 2.6-1.4

7. Find 12-3.7

8. Find 28-12.75

9. Find 24.75-12.86

10.Find 125.78-64.8-30.5

Good luck !

Linear Equations

Solve the following linear equations.

1. x-7=0

2. p+3=0

3. 2m-3=0

4. 3p-(1/3)=0

5. 5k-1 =1

6. 7n=2-3n

7. k=21-2k

8. (k-3)/7 =3

9. (5k-2)/2=9

10. 7m-5=2m+7

Enjoy trying!

Algebraic Expressions

Simplify the following

1. 2h+2y+3h+y

2. -7p+8p-12p

3. (1/2)x+(1/3)x

4. (5/8)p-(1/3)p

5. (2x^2y)/(xy)

6. 2p-3m+p-m

7. 3mn x 3m^2n

8. (1/3)hp^2 x 24hp

9. (1/2)(12xy-6pq)

10. (10mn)/(5mn)

Integers : Combined operations

Answer all of the following

1. -17+5-12

2. -23+5(7-5)

3. 23-4(18-15)

4. (-8)+(-7)+(-5)

5. (-8) - (-12)

6. (-27)/(-3)+(-4)

7. (-45)x3/(-5)

8. -65/(-5)x(-2)

9. -8-(-2)-(-7)

10. 41-25+17-33

-hbo

POLYNOMIAL

Answer all of the following

1. Given that a polynomial P(x) = x^3-6x^2+11x-6.

(a) Show that x-1 is a factor of the polynomial.

(b) Hence, factorise P(x) and solve P(x)=0


2. Given that f(x) = (x-2)/(x+1)(2x-1).
Find the set of values for f(x)<0.


3. Express 1/((x+2)(x-3)) in partial fractions.

4. Express (x^2-x+5)/((x^2+x-2) in the form A + B/(x+2)+c/(x-1).

Email me your answer at huffy64@gmail.com

Integers

Answer all of the following.

Objective.

1. Which of the following numbers are integers?

(a) -3.5 (b) -7 (c) 1.55 (d) -2 2/5

2. -15, x, -9, -3, 0

(a) -18 (b) -14 (c) -12 (d) -10

3. Ali is on level x in a lift. When he goes up 2 levels he will be in level 6. What is the value of x?

(a) 2 (b) 4 (c) 8 (d) 12

4. An internet cafe has 25 customer. 2 minuters later another 7 customers enter the cafe. Then 20 minuters later 12 customer exit the cafe. How many of the customers are left in the cafe?

(a) 6 (b) 20 (c) 30 (d) 44

5. The temperature of Town A is -2 degree celcius at 12 midnight, 55 degree celcius at 12 noon and 30 degree celcius at 6.00 in the evening. What is the difference between the coldest and the warmest temperature of Town A (in degree celcius) ?

(a) 28 (b) 53 (c) 57 (d) 83

Subjective

1. Find the value of

(a) 2-7

(b) 12-30+2

2. Calculate

(a) -18+7-10

(b) 25-48+15

3. Find the value of

(a) 1128-1015+22

(b) -218+50-12

4. Calculate

(a) 5(20-27)+(-12)

(b) -3(20-16)-(7-11)

5. Dave is working at a basement 2 of a building. Then he goes up in a lift at level 20. What is the total levels that he pass through ?

happy trying ! Email me at huffy64@gmail.com

Partial Fractions

Answer all the following. Show all working.


1. express 3/((x+1)(x-2)) in partial fractions


2. Express (2x+1)/((2x-1)(x+2))


3 Express (3x-1)/((2x^2+1)(x-2))

Email me at huffy64@gmail.com

Algebraic Expressions

Try the following questions

1. Simplify

(a) x + 3x + 2x

(b) (a+b)+(2a-b)

(c) x(x+y)

(d) (5x+2y)-(3x-7y)

(e) 2(2a+b)+3b

2. Simplify the following

(a) (x+1)(x+1)

(b) (x+4)(x-2)

(c) (x^2-2xy)/x

(d) (4x^2y-3xy)/(xy)

(e) Ali has x pen and y pencil. If the price of pen and pencil are RM2 and RM1 respectively, what is the total price of pen and pencil that Ali has?

Ok, Happy trying!

Pn Hafsah Othman
huffy64@gmail.com

Modulus

Modulus of x is written as |x|. It is defined as x if x > 0 or -x if x < 0.
If |x| = b then x = b or x=-b for any real number.
If |x| < b then -b < x < b
If |x| > b then x <-b or x >b

Try the following question.

1. Find the value of x for the following modulus equation.

(a) |x| =3

(b) |3x| = 12

2. Solve the following inequalities and express your answer in an interval notation.

(a) |x| < 5

(b) |x| > 2

(c) |x-1| > 6

(d) |2x+3| > 2

(e) |2-x| > 7

Linear Equation

Solve the following linear equation

1. x + 1 = 5

2. 2x - 3 = 8

3. x/2 = 7

4. (x-5)/2 = 2

5. (2x-7)/3 = 5

6. 5-2x = 5x - 9

7. (x - 2)/5 = 2x

8. p - 7 = 3p + 3

9. 100m = 50m -20

10. (3p+1)/3 = 2p-1

You can email me at huffy64@gmail.com

Polynomials

Answer all of the following.

1. A polynomial P(x)= 2x³ +3x²-2x-3

(a) Find P(2), P(-1)

(b) Determine if x-1 is a factor.


2. Given that a polynomial P(x) = x³ +2x² -7x+4.

(a) If x+4 is a factor of P(x), find the other two factors,

(b) Find the set of values of x for which P(x)>0


Happy trying email to huffy64@gmail.com

Statistics I

Answer all of the following.

Objective

1. Which of the following data is collected by measuring?

A. Numbers of cars passing at a certain bus stop.
B. Weight of a fish caught by a fisherman
C. Number of books sold in a bookstore.
D. Number of students enrolled in a certain school.

4, 4, 4, 5, 6, 7, 7, 8, 9,10

2. The above numbers are scores made by 10 students in a certain game. What is the percentage of sudents who scored more than 5 ?

A. 30%
B. 60%
C. 70%
D. 100%

Subjective

1. 1,2, 3,3, 4,4, 5, 5, 6, 6, 6, 7, 7, 8, 9

The data above shows the size of shoes in a group 15 girls.

(a) Find the mode and median for the above data.

(b) Calculate the percentage of the size that is more than 4.


2. 35, 45, 55,60,70,75, 80, 90

The data above shows the marks for a certain math test for 8 students.

(a) Find the mean marks for the test.

(b) If the passing mark is 50, calculate the percentage of the students who pass the test.


Happy trying! You can email me your answer at huffy64@gmail.com

RATIO

Think of ratios as parts. 2:3 has total parts 2+3= 5 parts. If actual value for the whole part is 20 then each part is 20/5=4

Answer all of the following.


1. Find the ratio of the following

(a) 8:24

(b) 15kg:3kg

(c) 1 week : 21 days

(d) 1 cm: 20 mm

2. The ratio of a to b is 2:5. Find the value of a and b if the sum of a and b is 42.

3. Every month Ali and Terrence save RM250 and RM300 respectively. What is the ratio of Ali's and Terrence's saving each month?

4.Given that p:q is 5:7. If p+q is 72, find the value of q-p.

5. A rectangle has a length and width of ratio 2:1. If the perimeter of the rectangle is 90cm, find its length and width.

You can email me your answer.

Probability

To find the probability of some events happens means to calculate the chances that the event happens. You need to identify the sample space and the events first. Try to answer the following questions.

1. A box contains two red pens and three blue pens of the same brand. If a pen is randomly chosen from the box, what is the probability that

(a) a blue pen is chosen.

(b) a red pen is chosen.

2. A dice is tossed once. What is the probability that a number comes up is

(a) an even number.

(b) an odd number.

(c) a prime number.

(d) a number that is greater than 2.

3. The letters in the words "MATHEMATICS" are written in cards and put in a box. If a student randomly take one card, what is the probability that the card is

(a) a letter "M".

(b) a consonant.

(c) a vowel.

Happy Trying. Send me your answer at : huffy64@gmail.com

Differentiation

Differentiate y with respect to x :

1. y=7

2. y= -2x

3. y=x² -5

4. y=x³ +5x-3

5. y=-5x³-3x² +2x-9

Email me you answer, huffy64@gmail.com