Find the value of √ 752 rounded to 4 significant figures.
27.42
Express 6 : 30 : 180 in its simplest form.
1 : 5 : 30
a + b - c
Is the above an expression, equation or formula?
expression
Expand 2a(3 - b)
6a - 2ab
Find the value of h, given
h + 13 = 10
h + 13 = 10
h = 10 - 13
= -3
What are the square roots of 289?
17 and -17
3/8 of students in a class wear glasses. What is the ratio of students who do not wear glasses to students who wear glasses.
5 : 3
Solve 4x2 + 5x - 18 when x = -3
4x2 + 5x - 18
= 4(-3)2 + 5(-3) - 18
= 4(9) + 5(-3) - 18
= 36 - 15 - 18
= 3
Expand -6h(4k - 7h)
-24kh + 42h2
Find the value of x, given
x ÷ 5 - 9 = 2
x ÷ 5 - 9 = 2
x ÷ 5 = 2 + 9
x ÷ 5 = 11
x = 11 x 5
x = 55
Write your answer to 56÷53x54 in index form.
56÷53x54 = 53x54
= 57
Express 1km : 50m : 4000cm in its simplest form.
1000m : 50m : 40m
100 : 5 : 4
In a video game, the damage calculation formula is given as:
damage dealt = x(120/[120+y]), where x is the attack value and y is the defense value.
If Miya attacks Franco with an attack value of 115, and Franco has a defense value of 20, calculate the damage dealt by Miya to Franco, rounded to the nearest whole number.
when x = 115 and y = 20,
damage dealt = 115(120/[120+20])
= 115(120/140)
= 115(6/7)
= 99 (nearest whole number)
Factorise 45n3 + 30n
15n(3n2 + 2)
Find the value of a, given
5a/6=2 1/2
5a/6=2 1/2
a=5/2÷5/6
=5/2x6/5
= 3
A company had 240 employees and downsized to 180 employees. What is the percentage decrease in the number of employees?
240-180=60
60/240 x 100%=25%
Alfred, Benjamin and Carlos share the fruits in their orchard in the ratio 3 : 9 : 4. In one year, their orchard bore 960 apples. How much is Benjamin's share?
3+9+4=16
960÷16=60
60x9=540
Given the formula v = 5 + 8a, make a the subject of the formula. Then, find the value of a when v = 37.
v = 5 + 8a
5 + 8a = v
8a = v - 5
a = (v - 5)/8
When v = 37, a = (37 - 5)/8
=32/8
=4
Factorise 6xy - 22y2 + 18yz
2y(3x - 11y + 9z)
🔼
x=4cm
Find the HCF and LCM of 130 and 234.
130 = 2 x 5 x 13
234 = 2 x 32 x 13
HCF = 13 x 2
= 26
LCM = 2 x 32 x 5 x 13
= 1170
James and Serena's company made a profit of RM400,000 in a year. After paying 20% in taxes, they split the remainder in the ratio 7 : 13. What is the difference in the amount of money they received?
400,000 x 20% = 80,000
400,000 - 80,000 = 320,000
320,000 ÷ 20 = 16,000
13 - 7 = 6
16,000 x 6 = RM96,000
Given that a triangle has a base of 4y and a height of 3y, write an expression for the area of the triangle.
Area of triangle = 3y x 4y x 1/2
= 12y2 x 1/2
= 6y2
Simplify b(3b + 5c) - 2c(6b - 4c)
b(3b + 5c) - 2c(6b - 4c)
=3b2 + 5bc - 12bc + 8c2
=3b2 - 7bc + 8c2
The length and width of a rectangle are 3k and 5k. If the area of the rectangle is 375cm2, find the value of k.
3k x 5k = 15k2
15k2 = 375
k2 = 375/15
=25
k=√ 25
=5cm