Units of Measurement & Scientific Notation
Convert 5 km into metres
5000m
What is the Pythagoras Theorem formula?
c2 = a2 + b2
(or variant)
Find the perimeter and area of a square with side length 6 cm
Perimeter = 24cm
Area = 36cm2
What is the formula to find an arc length?
πrθ/180
In which country did the Olympic Games originate?
Greece
Write 0.00034 in scientific notation
3.4 x 10^-4
What sides of a right angled triangle to the letters a, b and c represent?
a + b = side and base of triangle
c = hypotenuse
A trapezium has parallel sides 10 cm and 18 cm, and height 7 cm. Find its area.
98 cm²
What is the formula to find the area of a sector?
1/2rl
Which country is known as the Land of the Rising Sun?
Japan
The mass of Earth is approximately 5,972,000,000,000,000,000,000,000 kg. Express this in scientific notation.
5.972×1024 kg
A right-angled triangle has legs of 3 cm and 4 cm. Find the hypotenuse.
5cm
A circular garden has radius 7 m. Find its area.
153.86 m²
A circle has radius 10 cm. Find the length of an arc with central angle 60°
10.47 cm
Which African country was formerly known as Abyssinia?
Ethiopia
Convert 7.25 × 10⁶ mm into kilometres
7.25 km
A ladder 6 m long leans against a wall. The base is 1.5 m from the wall. How high up the wall does it reach?
h≈5.81m
A swimming pool is in the shape of a rectangle 25 m long and 10 m wide, with a semi-circular spa attached to one of the shorter sides (diameter = 10 m). Find the total area of the pool and spa.
289.25 m²
A circular pizza has radius 30 cm. If one slice has angle 45°, find both the arc length of the crust and the area of that slice?
Arc length = 23.55 cm, Area = 353.25 cm²
Which is the only mammal capable of true flight?
Bats
A large swimming pool has a volume of 2.5 × 10¹² cm³ of water. Convert this volume into km³, giving your answer as a decimal number.
0.0025km3
A boat sails 12 km east, then 5 km north. Find the straight-line distance from its starting point
d=13km
A farmer’s shed floor is shaped like a trapezium with parallel sides 12 m and 20 m and height 8 m. On top of the longer side sits an isosceles triangular roof section with base 20 m and height 6 m.
Find the total area of the shed floor and roof.
188 m²
A sector has arc length L=18.84 mL = 18.84m and area A=47.1m2
Using π=3.14 find the radius, the central angle in degrees, and the perimeter of the sector.
r = 5m
angle = 216 degrees
perimeter = 28.84m
What does the word “karaoke” mean in Japanese?
Empty orchestra