Sem 1 revision

Super Special Questions💖

100

Find the value of √ 752 rounded to 4 significant figures.

27.42

200

What are the square roots of 289?

17 and -17

300

Write your answer to 5⁶÷5³x5⁴ in index form.

5⁶÷5³x5⁴ = 5³x5⁴

= 5⁷

400

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%

500

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

Ratios and Proportion

100

Express 6 : 30 : 180 in its simplest form.

1 : 5 : 30

200

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

300

Express 1km : 50m : 4000cm in its simplest form.

1000m : 50m : 40m

100 : 5 : 4

400

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

500

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

Algebraic Formulae

100

a + b - c

Is the above an expression, equation or formula?

expression

200

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

300

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)

400

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

500

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

Expansion and Factorisation

100

Expand 2a(3 - b)

6a - 2ab

200

Expand -6h(4k - 7h)

-24kh + 42h²

300

Factorise 45n³ + 30n

15n(3n² + 2)

400

Factorise 6xy - 22y² + 18yz

2y(3x - 11y + 9z)

500

Simplify b(3b + 5c) - 2c(6b - 4c)

b(3b + 5c) - 2c(6b - 4c)

=3b² + 5bc - 12bc + 8c²

=3b² - 7bc + 8c²

Solving Algebraic Equations

100

Find the value of h, given

h + 13 = 10

h + 13 = 10

h = 10 - 13

= -3

200

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

300

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

400

🔼

x=4cm

500

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