1
Choose irrational numbers:
4.25 √7 5/3 П e
√7 П e
Expand and simplify:
(x+7)(x-(-5))
x²+12x+35
Solve this equation:
8(x+2) = 2(18-x)
x=2
(84)8=8n-3
work out the value of n
n=35
(x-4)(6+x) find the value of the expression when x is 17/5
Give your answer as a mixed number
-5 16/25
Solve the inequality 5x−8>3x+4. Write your answer as an inequality.
x>6
A train travels 12 km in 15 minutes. If the train travels at the same speed, how far does it travel in two hours?
96
Write (√5)-1 as a power of 5
5-1/2
Here is a formula: p=3x+5y−7. Rearrange the formula to make x the subject
x=(p-5y+7)/3
The sum of the interior angles of a regular polygon is 1980°. How many sides does the polygon have?
13 sides.
Lora's weight decreases from 75.2 kg to 62.8 kg. Calculate the percentage decreases in Lora's weight. Correct to 3 significant figures
16.5 %
The distance from Earth to the nearest star is approximately 4.24×1013 kilometers. Write this distance in full number
42 400 000 000 000 kilometers.
In a bag, there are 4 red balls, 5 blue balls, and 3 green balls. If a ball is randomly selected from the bag, what is the probability that it is a blue ball?
5/12
Find the nth term for the sequence:
5, 10, 17, 26, 37, ...
an=n2+2n+2
The exterior angle of a regular polygon is 15°. How many sides does the polygon have?
24 sides.
Here is the right-angled triangle:
a = 17.3 cm
b = 12.5 cm
find c
21.343
d is 14 cm
Find the area of the semicircle
A≈77.935
A rectangular prism has a length of 12 cm, a width of 6 cm, and a height of 4 cm. Calculate the volume of the prism.
288 cm3
In a bag, there are 4 red balls, 5 blue balls, and 3 green balls. If a ball is randomly selected from the bag, what is the probability that it is not a blue ball?
7/12
A triangle with vertices at A(1,2), B(3,2), and C(3,4) is enlarged by a scale factor of 2 with the center of enlargement at the origin (0,0). What are the coordinates of the vertices of the enlarged triangle?
A′(2,4),B′(6,4),C′(6,8)
A map has a scale of 1:50,000, meaning 1 cm on the map represents 50,000 cm in real life. If the distance between two cities on the map is 8.4 cm, what is the actual distance between the cities in kilometers?
42 kilometers.
A bicycle travels from Town X to Town Y at a speed of 20 km/h. On the return trip, the bicycle travels at a speed of 15 km/h. If the total travel time for the round trip is 6 hours, what is the distance between Town X and Town Y?
60 kilometers.
Horses were grazing in the meadow under the supervision of shepherds. you counted how many legs there are and counted 82. and if you count the number of heads of both humans and horses - 26. how many horses and shepherds
15 horses and 11 shepherds
Under ideal conditions, the bacterium divides every 20 minutes. how many bacteria will there be in 24 hours if initially there was only 1 (in ideal conditions)
2^72
Book with a pen costs 2 dollars 50 cents.the book is 2$ more expensive than a pen. How much does a pen cost?
the book is 2.25$, the pen is 25 cents