WorksheetsMATHS FORM 1 KSSM CHAPTER 1 TO 6
Total questions: 234
Worksheet time: 7hrs 45mins
8x−5+4=x+2
(a)
Explain how the properties of equalities are used to solve equations.
___ + 12 = 8x + 4
3x - 5 = -26
x=-21
x=21
x=-7
x=61
11 - 3x = 44
x - 10 = -6x + 4
Solve the equation:
7x = 21
x = 14
x = 28
x = 3
x = 147
3x - 4 - 5x = x + 4 + x
Solve the linear equation.
8 ( 3x - 5 ) = 9x + 5
x = 3
x = -3
x = 9 / 7
x = 2 / 3
Solve the linear equation.
x - 15 = -19
x = 34
x = -34
x = 4
x = -4
True or False? If x=4 , then x+7=4+7
True
False
Solve for the value of y:
y - (-3) = 9
y = 12
y = 6
y = 3
y = 9
[Hint: Write a linear equation to model this information.]
Give x in terms of y if 2x+6y=14
(a)
Which chapter have you learned just now?
Equation
Simultaneous Equations
Systems of Equations
Linear Equations
Which of the following is a non-linear equation?
2x - y + 3 =z
x² + y = 1
5y - 3x =12
12 = 3y - 2x
x + 2y = 3z
Is the equation above considered as a linear equation?
Yes
No
x + y - 1/x² =0
This is a...
linear equation
non-linear equation
Which are the methods to solve the system of linear equations?
Addition
Substitution
Elimination
Mulplication
Tick the 3 solutions in the systems of linear equations in 3 variables.
No solution
One solution
Two solutions
Infinite solution
solve the following system of equations in 3 variables
x+ 2y – z = 17
–2x + y + 6z = –8
5x – 3y + 9z = –7
x = 4. y= – 6, z = 1
x = 4. y= – 6, z = –1
x = 4. y= 6, z = –1
x = – 4. y= – 6, z = 1
2x+1=7 Solve the following linear equations:
6
8
3
4
solve the systm of linear equations
x + 4y + 4z = 7
3x + 2y + 2z = 6
9x + 6y + 2z = 14
x = –1, y = 1/2, z = 1
x = 1, y = –1/2, z = 1
x = 1, y = 1/2, z = –1
x = 1, y = 1/2, z = 1
Which of the following linear equation satisfies both of ordered pairs (0,−2) and (1,1) ?
x+y=−2
2x−3y=1
3x−y=2
4x−3y=6
3−p2p+16=4
Solve
p=−31
p= − 32
p = 32
p = 31
Solve the following simultaneous linear equations.
(Write your answer as h=__, k=__)
h=2,k=-5
h=-2,k=-5
h=-2,k=5
h=2,k=5
solve the simultaneous equations
x + y = 7
x2 + y2 = 25
x = 3, y = 4; x = 4, y = 3
x = –3, y = –4; x = 4, y = 3
x = 3, y = 4; x = –4, y = –3
x = 3, y = –4; x = 4, y = –3
11 - 3x = 44
Given y + x = 23
find the subject y in terms of x .
y = 23 + x
y = 23 – x
x = 23 + y
x = 23 – y
Which of the following equations are linear equations in two variables?
6y+4=–2x
5a3–4=4b
3h–1=5k
k+1=6
The diagram above shows a poster of Mega Merdeka Sale in Millennium Sports Store.
Encik Aziz bought 2 pairs of shoes and 3 T-shirts. He paids 6 pieces of RM100 and received a balance of RM16.30. Meanwhile Puan Maria paid RM389.50 for a pair of shoes and 5 T-shirts and received no balance. Calculate the prices of a pair of shoes and a T-Shirt.
A pair of shoes = RM350 and a T-shirt = RM 29.60
A pair of shoes = RM250 and a T-shirt = RM 27.90
A pair of shoes = RM245 and a T-shirt = RM 27.70
A pair of shoes = RM240 and a T-shirt = RM 27.60
What is the value of
3 + −5 ?-8
-2
2
8
What is the value of
(−4) − (−7) ?-11
-3
3
11
6(−1)+[−2−(−3)]=
-5
5
-1
1
(2+8)÷5×2=
1
2
3
4
2+(6÷3)−3=
1
8
5
-1
Evaluate 10×[−5+(−7)]−(−30).
−80
−27
50
330
Evaluate 8+(−4)×5. .
−20
−12
20
60
you have 37 cars cory has 40 less than you how much does cory have
(a)
free boost
click me
dont click me
9 8 ÷ 96
8148
−68
1 31
2716
73÷−43
−289
289
74
−74
−132+43
−1211
1211
1112
−1112
When adding or subtracting fractions you must rewrite each fraction with a _____________ denominator.
different
common
greater
smaller
3 41×(−83)
−43
−1627
−11611
−2716
6, -2, -8, 8, 2
Choose the correct answer.
Tandakan kuasa dua sempurna.
Mark for the perfect square.
122
-196
8
169
64
Choose the correct statement.
Pilih pernyataan yang benar.
0 lebih besar daripada -7
-4 lebih kecil daripada -8
6 lebih kecil daripada -10
3 lebih kecil daripada 0
Which temperature is the hottest?
18°C
8°C
26°C
4°C
Choose the correct descending order.
Pilih susunan tertib menurun yang betul.
-1,-2,-3,5,7
-2,0,1,3,5
0,2,4,6,8
6,2,0,-2,-5
What is the GCF of 18 and 36?
(a)
What is the GCF of 21 and 49?
(a)
What are the factors of 24?
2, 4, 6, 8, 12
1, 2, 3, 4, 6, 8, 10, 12, 24
1, 2, 3, 4, 5, 6, 7, 12, 24
12, 24, 3, 4, 2, 8, 6, 1
What is the LCM of 15 and 10?
15
25
30
20
What is the Greatest Common Factor of 35 and 49
5
7
1
17
What is the Greatest Common Factor of 35 and 42?
5
14
7
3
This is the greatest whole number that is a factor of two whole numbers. Or, the highest number that divides exactly into two or more numbers.
Greatest Common Factor
Least Common Multiple
Multiplicative Inverses
Algorithm
What is the GCF of 8 and 24?
1
24
8
4
3216 equals
(a)
(a)
(a)
16 equals
4
8
53 equals
125
15
102 equals
100
20
Given the volume, find the length of each side of the cube.
16
16 ft
18
18 ft
23 equals
8
6
64 equals
8
32
33 equals
27
9
144 equals
12
72
21. Optimus Prime is using a double number line to determine the amount of raisins he will use for a raisin bread recipe.
If he uses 9 cups of raisins, how many loaves will he make?
4
5
6
7
The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.
6
24
18
72
If a:b = 2:3 and b:c = 4:3, then find a:b:c
8:12:9
2:3:8
2:3:9
2:3:12
Do ratios have units?
yes
no
A bottling machine makes 60 bottles in 12 hours. How many bottles will it make in 16 hours?
80
90
100
45
In a certain school, there are 1, 530 students in all. How many girls if the ratio of boys to girls is 5:12?
1880
450
1080
1580
It takes 14 hours for a faucet with a flow of 18 liters per minute to fill a reservoir with water. How long will it take if its flow is reduced to 7 liters per minute?
32
14
36
24
A variable represents...
an unknown amount that can be anything
a letter
a math term
an operation
7x + 2y + 5
What is the constant?
7x
5
7
2
Which of the following could be considered a constant?
4
5x
w
+
What is the coefficient for 7r?
7
r
7r
multiplication
part of an expression or equation separated by operational symbols
term
expression
solution
evaluate
What is the difference between a numerical expression and an algebraic expression?
equals sign
variables
operations
fractions
Find the coefficient in the algebraic expression.
x
4
5
9
7x + 2y + 5
How many terms are in this algebraic expression?
1
2
3
4
What is the variable for 7r?
7
r
7r
multiplication
7x + 2y + 5
What are the variables in this algebraic expression?
x
y
5
7x
+
7x + 2y + 5
Select all coefficients.
7
2
5
7x
2y
An algebraic expression consists of... (Select all that apply)
numbers
variables
equals sign
operations
Select all that apply. An expression can contain ...
coefficients
variables
an equal sign
constants
Solve this expression. Substitute the numbers for the variables.
s = 2, y = 4,
y2 + ( 10 - 4)s - 3y
34
40
16
26
add, subtract, multiply and divide are called what in math?
terms
expressions
operations
algebra
a variable next to a variable means?
add
divide
subtract
multiply
To solve this problem, what do I do second?
18 - 20/2 x 2 + 9 - 7
subtract
divide
add
multiply
How many terms are in this expression?
13t - 2x - 22 + 1/2y
3 terms
2 terms
4 terms
5 terms
An __________________ contains numbers, operations and one or more variables.
algebraic expression
equation
expression
term
Convert fraction to a decimal
1/2
(a)
Convert fraction to a decimal
3/5
(a)
Convert fraction to a decimal
9/10
(a)
Convert fraction to a decimal
15/20
(a)
A number line that is drawn upright.
horizontal number line
vertical number line
quadrant
coordinate plane
Choose the opposite numbers.
6 and -6
1/2 and - 1/4
2 and -1/2
0 and -0
Numbers less than zero
absolute value
positive numbers
negative numbers
irrational numbers
Choose the opposite numbers.
6 and -6
1/2 and - 1/4
2 and -1/2
0 and -0
178.41 + 55.3 =
3.63 ______ 3.36
What is the reciprocal of 32 ?
−23
23
−32
32
Kennedy Space Center, located on Merritt Island, is also a National Wildlife Refuge. Only about 0.04 of the total area is used for space operations. Which fraction best represents the area used for space operations?
2/5
1/25
1/4
1/200
5×3 41 Simplify if possible.
2013
15 41
8 41
16 41
7 87
5 51
4 83
5 85
Multiply Decimals
3 x 3 =
9
0.9
0.09
0.009
9.12 + 2.9 =
5,321.09 - 126.8 =
6.9 - 2.75 =
3 ⅜ ÷ 1 ¼ Simplify if possible.
2 7/10
3 7/12
1 6/7
2 8/9
Simplify if possible.
2 2/27
21/2
1/2
7/8
Adam is trying to find the greatest number of gift bags he can give to his friends. He wants the same amount of toy dinosaurs and stickers in each bag. If he has 30 toy dinosaurs and 20 stickers, what does he need to find? How many dinosaurs and stickers will be in each bag?
Greatest Common Multiple; 3 dinosaurs and 2 stickers
Greatest Common Factor; 3 dinosaurs and 2 stickers
Greatest Common Factor; 6 dinosaurs and 4 stickers
Least Common Multiple; 60 dinosaurs and 60 stickers
What is the Least Common Multiple of 5 and 11?
45
66
25
55
An electronic device rings every 25 minutes. It flashes every 1 hour. The last time it flashed and rang at the same time was 9 a.m. When will the device ring and flash at the same time again?
2 am
2 pm
4 pm
5 pm
6
35
54
What is the Greatest Common Factor of 35 and 49
5
7
1
17
What is the greatest common factor of 24 and 36?
2
3
12
24
How do you find the multiples of a number?
Use division to find out what you multiply to make a multiple.
Use my multiplication facts and write them out.
Write down how many times that number appears in a multiplication table/chart.
What is the GCF of 8 and 24?
1
24
8
4
What is the Greatest Common Factor of 10 and 21?
2
12
1
5
What is the Least Common Multiple of 3 and 4?
12
24
36
48
This is the greatest whole number that is a factor of two whole numbers. Or, the highest number that divides exactly into two or more numbers.
Greatest Common Factor
Least Common Multiple
Multiplicative Inverses
Algorithm
3125 equals
(a)
(a)
31,000 equals
(a)
3216 equals
(a)
53 equals
125
15
144 equals
12
72
Given the volume, find the length of each side of the cube.
16
16 ft
18
18 ft
52 equals
25
10
72 equals
49
14
33 equals
27
9
92 equals
81
18
36 equals
6
18
64 equals
8
32
16 equals
4
8
732 + 21=
5850
5350
9843
1243
A total of 20 pens and 12 correction tapes are still in Encik Lucas's shop,
What is the ratio of the number of correction tapes to the number of pens ?
(a)
The ratio of the brown ball to the white ball is three to four.
The ratio is written as
(a)
The ratio of the green ribbon to the blue ribbon is 1:8,
So the ratio of the blue ribbon to the green ribbon is (a)
If there are 5 boys to 7 girls, how many girls would there be if the number of boys increased to 20?
35 girls
28 girls
24 girls
30 girls
You spend $40 on 5 pounds of concrete. How much would would it cost for 7 pounds of concrete?
$56
$50
$35
$42
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
35
60
18
50
Elijah earns $230 for 8 hours of work. What is the unit rate (in dollars per hour)?
$25.50 per hour
$12.50 per hour
$1,840 per hour
$28.75 per hour
Are the two ratios equivalent?
3 : 10 and 9 : 20
Yes
No
Daisy sour cream is $1.68 for 8 oz.
Kraft sour cream $2.08 for 16 oz.
Find the unit price of each and choose the better deal.
Daisy
Kraft
Mark prepared 12 cupcakes.5 of the cupcakes are chocolate flavoured and the rest are pandan flavoured.If 2 chocolate cupcakes and 5 pandan cupcakes are eaten by his band mates,what is the ratio of the remaining chocolate cupcakes to the remaining of pandan cupcakes.
5:7
3:2
2:5
7:10
8 kaya buns and 12 red bean buns that Nana made are packed equally into 4 packets,
What is the ratio of the red bean buns to the kaya buns in each packet ?
3:2
2:3
If the total length of the ropes are 10 m and Jisung had used 7 m of it,
What is the ratio of the total length to the length that Jisung had used ?
10:7
10:3
What would be the ratio of red apples to green apples if there were double the amount of apples?
6 red apples to 8 green apples
8 red apples to 6 green apples
4 red apples to 3 green apples
3 green apples to 4 red apples
Write the number of the yellow car to the number of the red car
(a)
There are 2 blue cones,4 yellow cones,and 3 red cones.
The total number of cones is 9.
Pick the answer that completes the table.
RED:BLUE =3:2
BLUE:ALL OF THE CONES =2:9
ALL OF THE CONES:YELLOW =9:4
RED:BLUE =4:9
BLUE:ALL OF THE CONES =2:3
ALL OF THE CONES:YELLOW =9:3
Pick the ratio of the number of the shaded parts to the unshaded parts.
3:1
3:4
7x + 2y + 5
How many terms are in this algebraic expression?
1
2
3
4
7x + 2y + 5
What is the constant?
7x
5
7
2
part of an expression or equation separated by operational symbols
term
expression
solution
evaluate
What is the difference between a numerical expression and an algebraic expression?
equals sign
variables
operations
fractions
A variable represents...
an unknown amount that can be anything
a letter
a math term
an operation
Which of the following could be considered a constant?
4
5x
w
+
Find the coefficient in the algebraic expression.
x
4
5
9
What is the variable for 7r?
7
r
7r
multiplication
What is the coefficient for 7r?
7
r
7r
multiplication
7x + 2y + 5
Select all coefficients.
7
2
5
7x
2y
An algebraic expression consists of... (Select all that apply)
numbers
variables
equals sign
operations
7x + 2y + 5
What are the variables in this algebraic expression?
x
y
5
7x
+
Select all that apply. An expression can contain ...
coefficients
variables
an equal sign
constants
How many terms are in this expression?
13t - 2x - 22 + 1/2y
3 terms
2 terms
4 terms
5 terms
a variable next to a variable means?
add
divide
subtract
multiply
add, subtract, multiply and divide are called what in math?
terms
expressions
operations
algebra
To solve this problem, what do I do second?
18 - 20/2 x 2 + 9 - 7
subtract
divide
add
multiply
Solve this expression. Substitute the numbers for the variables.
s = 2, y = 4,
y2 + ( 10 - 4)s - 3y
34
40
16
26
Solve this expression. (pemdas)
r/7(a - b2)
r=49 a=15 b=3
42
27
48
6
Explain how the properties of equalities are used to solve equations.
x - 10 = -6x + 4
[Hint: Write a linear equation to model this information.]
Linear equation in one variable has
Only one term with variable
One variable with power >1
More than one variable with any power
One variable with power 1
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
the difference between two number is 40.
form a linear equation from above situation.
x - y = 40
x + y =40
x = 40y
y = 40x
A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.
35
15
22
43
y=x-9
y=-4x
x=7
y=1.8
x=7.2
y=1.8
x=1.8
y=-7.2
x=1.88
y=7.2
x +4=10y2
identify whether the above equation are linear equation with two variables
yes
no
not sure
In this equation:
x - 6 = 3
3 is an example of a(an):
Variable
Constant
Coefficient
Operator
Solve the linear equation.
5z + 2 = 6
z = 8
z = -8
z = 4 / 5
z = 5 / 4
The first step to solving the equation g - 3 = -12 is to . . .
divide by -3 on both sides of the equal sign
multiply by -3 on both sides of the equal sign
subtract 3 on both sides of the equal sign
add 3 on both sides of the equal sign
8x + 2y = -10
the number of student in class 1A is twice the number of student in class 1S
form a linear equation with two variables from above situation
let x to be number of student in 1A
let y to be number of student in 1S
2x=y
y - x =2
y = 2x
x = 2y
