Round this number to 2 significant figures:
4328.418
4300
Write 109/15 as a mixed number
7 (4/15)
3 x 3 x 32 = 3a
Work out the value of a.
a = 1 + 1 + 2 = 4
Give an example of natural number, integer and a rational number.
natural number: 3
integer: -2
rational number: 7/8
5 + 30 / 5
Sofia says that the answer is 7. She is wrong. Explain why she is wrong.
Sofia add 5 and 30 and then she divide it by 5. That does not follow the rules. Division has priority. Therefore, Sofia should have divided 30 by 5 (equals 6) and afterwards added 5 (end result = 6 +5 = 11
Round this number to 3 decimal places:
7.568499
7.568
Sara spent 120 minutes on Saturday in Soccer practice, 60 minutes in a birthday party and 1 hour working on her Science project.
What is the ratio of hours spent at soccer practice to hours spent at a birthday party.
120 : 60
simplest form
2 : 1
How much is 70
1
Work out the following:
a) cube root of 27
b) square root of 100
a) 3
b) 10 or -10
estimate the value of the root square of 83 (1 decimal place)
9.1
(because root square of 81 is 9)
53: 7
give your answer correct to two decimal places.
7.57
Write the following ratio in the form c:1
13:7
(13/7) : 1
To calculate the energy, we can use the formula E=m.c2. E is the energy, m is the mass and c is the speed of light. Calculate the energy of an object with a mass of 10 kg and considering the velocity of light 300 000 000 m/s.
E = 10 x (300 000 000)2 = 10 x 90 000 000 000 000 000 = 900 000 000 000 000 000
Consider the following formula for calculating the total monthly cost, in euros, in terms of the number of minutes used on a phone:
c = 10 + 0.012 m
If the owner spends 30 minutes on his phone, how much will he pay?
c = 10 + 0.012 x 30 = 10.36
give an example of an:
a) expression
b) equation
c) formula
a) 2x + 4
b) 2x + 4 = 8
c) E = mc2
Work out:
a) 450 x 0.1 =
b) 450 x 10 =
c) 450 / 0.1 =
d) 450 / 10 =
a) 45
b) 4500
c) 4500
d) 45
How much is:
a) 10% of 300
b) 25% of 140
c) (1/3) of 150
d) 70% of 200
a) 30
b) 35
c) 50
d) 140
Jared has two pieces of string, one with 136 cm and 24 cm in length.
He cuts both pieces into smaller pieces that are equal in length.
Work out the greatest possible length for each smaller piece.
136 = 23 x 17
24 = 23 x 3
HCF (136 and 24) = 23 = 8 cm
x - 1 < 5
Work out an inequality that is equivalent
x < 6
Work out the following:
8 (4/7) - 3 (2/7)
5 (2/7)
Work out:
0.1 x 0.1 + 10 / 100
0.01 + 0.1 = 0.11
One sweatshirt costs 20 euros in store A. The same sweatshirt costs 25 euros in store B.
During the holidays both stores have discounts on the sweatshirt.
Store A gives 20% discount and store B gives 30% discount.
Work out how much the sweatshirt would cost in each store and where would be cheaper to buy it.
20 x 0.8 = 16 euros (store A)
25 x 0.70 = 17.5 euros (store B)
It is cheaper in store A.
Work out:
102 - 5 x 6 + root square (23+1)
= 70 + 3 =
= 73
Consider the blue rectangle:
a) Write an expression, in terms of x, for the perimeter.
b) If the perimeter is 43 cm, work out the length of the longest side.
a) 10x + 18
b) x = 2.5 cm, longest side = 14.5 cm
Emily has some stickers. Grace has twice as many stickers as Emily. Laura has 12 more stickers than Emily. In total, they have 76 stickers. How many more stickers does Grace have than Laura?
Emily has 16 stickers, Grace has 32 and Laura has 28. Grace has 4 more stickers than Laura.