Random question 1
Here are the first five numbers in a sequence. 29 24 19 14 9 .... Write down the term-to-term rule for this sequence
subtract 5
Write these measurements in order from smallest to largest. 40 kg 0.2 t 5000 g 320 kg.
5000 g, 40 kg, 0.2 t, 320 kg
Write the number in the box to make this fraction sum correct. 1/3 + _ /6 = 1
4
Multiply out the brackets. 7(2x – 5)
14x - 35
Write brackets in the calculation to make it correct. 9 + 12 ÷ 3 – 1 = 15
9 + 12÷(3 - 1) = 15
Solve 3x + 8 = 23
3x=23-8
3x/3 = 15
x = 5
4/5 of $35 = ...................% of $70
40%
Paul and Stefan both play in a tennis tournament. Paul wins 12 out of 16 matches. (a) Work out the percentage of matches that Paul wins.
12/16 simplify 3/4
3/4 = 0.75
0.75 x 100 = 75%
In a fruit shop the ratio of oranges to bananas is 7 : 3 Altogether there are 150 oranges and bananas. How many bananas are there in the shop?
45
Write the ratio 210 : 126 in its simplest form.
5:3
The largest number of people 5 buses can carry is 265. All buses carry the same number of people. Work out the largest number of people 3 buses can carry.
1 bus: 265 ÷ 5 = 53 people
3 buses: 53 x 3 = 159 people
Explain why 27 is a cube number but not a square number.
33 = 3x3x3=27, 27 is a perfect cube number.
Because there is no whole number that you can multiply by itself to get exactly 27, 27 is not a square number.
Find a two-digit number that is both a square number and a cube number.
64
The point P has coordinates (2, 9). The point Q has coordinates (–3, 9). Find the distance PQ.
5 units
Mia hires a bike. The hire cost is $2.50 for each hour. Work out the cost of hiring the bike for 7 hours
$2.50 x 7 = $17.50
A map has a scale of 1 : 1 000 000 The distance on the map between two towns is 6 cm. Find the actual distance between the two towns. Give your answer in kilometres.
6cm x 1,000,000 = 6,000,000cm
6,000,000cm ÷ 100 = 60,000m
60,000m ÷ 1000 = 60 km
Write 0.375 as a fraction in its simplest form.
3/8
Aiko spends 30 minutes on homework and 85 minutes reading. Write as a ratio in its simplest form the time Aiko spends on homework : the time Aiko spends reading
6:17
A 3D shape has 2 faces and 1 curved surface. Write down the name of this shape.
cylinder
Work out. 6/3 ÷ 11/5 Give your answer as a fraction in its simplest form.
10/11
Calculate. 9 + (1 + 522) × 3
8124
Hassan and Lily share $250 in the ratio 3 : 7. Write down the fraction that Hassan receives.
3/10
Write down the nth term for this number sequence. 4, 8, 12, 20, ....
4n
Draw a ring around the equation of each line that is parallel to the x-axis. y = 3, x = –5, x = y, –2 = y, 10 = x
y = 3
-2 = y
Draw a ring around each number that is a common multiple of 3 and 4. 120, 342, 998, 384
120 , 384