Algebra
Simplify:
3x+5x
8x
Solve:
x+4=10
x=6
A right-angled triangle has sides 3 cm and 4 cm. Find the hypotenuse.
5 cm
What is the only even prime number?
2
Simplify:
4a+7−2a
2a+7
Solve:
y−7=15
y=22
A right-angled triangle has sides 5 cm and 12 cm. Find the hypotenuse.
c=13
A clock shows 3:00. What is the angle between the hour hand and minute hand?
90
Simplify:
3(x+4)
3x+12
Solve:
3x=-27
x=-9
A ladder leans against a wall.
The ladder is 10 m long and reaches 8 m up the wall. How far is the base from the wall?
Hint draw a diagram.
a=6
A right-angled triangle has side lengths 3.6 cm and 4.8 cm.
Find the hypotenuse and the perimeter. to 1 decimal place.
Hypotenuse = 6 cm
Perimeter = 14.4 cm
Simplify:
5y−2+3y+6
8y+4
Solve:
2a+5=17
2a=12
a=6
A rectangle has length 12 cm and width 9 cm. Find the diagonal.
Hint draw a diagram.
d=15
What is the hardest natural substance on Earth?
Diamond
Expand and simplify:
4(2x−3)+5x
8x−12+5x
=13x−12
Solve:
4x−9=19
4x=28
x=7
A right-angled triangle has short side lengths 3.6 cm and 4.8 cm.
Find the hypotenuse and the perimeter. to 1 decimal place.
Hypotenuse = 6 cm
Perimeter = 14.4 cm
Which animal can sleep for up to three years?
Snail