Maths non calculator

Question 1

How do youe stimate 6.32 x 6.51/0.503

Answer 1

6x7/0.5 = 42/0.5 = 84

Question 2

What is 180 as a product of its prime factors?

Answer 2

180 –> 18 and 10, –> 8= 2 x 9 –> 10 = 2, 5 –> 9 = 3, 3 (3, 3, 2 2 , 5 are all prime numbers) so would be 2 squared x 3 squared x 5

Question 3

how do you find 20% VAT of 640 and the amount paid when someone pays £68 off the bat (deposit) and the rest in 10 equal monthly instalments?

Answer 3

10% = 64, 20% = 128, 640 + 128 = 768 - 68 = 700, 700 / 10 = 70 per month

Question 4

how do you create a mixed number out of 29/12?

Answer 4

2 x 12 = 24, 24 + 5 = 29, 2 5/12

Question 5

If 2/5 counters are blue and there are 18 blue counters, what is the total number of counters in the bag?

Answer 5

2/5 = 18, 1/5 = 9, 1/5 x 5 = 5/5 so 9 x 5 = 45, there are 45 counters in the bag

Question 6

what is 5600 in standard form?

Answer 6

5.6 x 10^3

Question 7

What is 0.0034 in standard form?

Answer 7

3.4 x 10^-3

Question 8

what is (4x10^5) x (3x10^-2)?

Answer 8

1.2 x 10^4 (12 x 10^3 but had to turn 12 into 1.2 so would go one more higher)

Question 9

how do you work out (3x10^3) / (6x10^-2)

Answer 9

3/6 = 1/2 = 0.5, 0.5 x 10^5 (3–2 = 3+2), balance by making 0.5 into 5 and make power smaller, 5x10^4

Question 10

how do you write 35% as a decimal?

Answer 10

35 / 100 = 0.35

Question 11

How do you write 35% as a fraction in its simplest form?

Answer 11

35% = 35/100 = 7/20 (35 / 5 = 7, 100 / 5 = 20)

Question 12

what is 1/4?

Answer 12

25%, 25/100

Question 13

How do you turn 6/25 into a percentage?

Answer 13

25 x 4 = 100, 6 x 4 = 24, 24/100, 24%

Question 14

how do you turn 0.295 into a percentage?

Answer 14

0.295 x 100 = 29.5%

Question 15

what is -2-7?

Answer 15

-9

Question 16

what is 2–7?

Answer 16

9

Question 17

-3 x -5?

Answer 17

15

Question 18

3 x -5?

Answer 18

-15

Question 19

How do you simplify 30x^2y^3/6xy^2?

Answer 19

30/6 = 5xy (x= 2-1) (y= 3-2)

Question 20

how do you simplify (2x^2y)^3?

Answer 20

8x^6y^3

Question 21

a = 5b + 2c, b = 3 and c = -2, find A

Answer 21

(5x3) + (2x-2) 15 + -4 = 15 - 4 = 11, A = 11

Question 22

what is the inequality of -2 < x < 4

Answer 22

-1, 0, 1, 2, 3

Question 23

if a < or > has a small line underneath, that means it can be..

Answer 23

that number or greater, eg -2 <(with a line under) x < 4 inequalities would be -2, -1, 0, 1, 2, 3

Question 24

How do you solve 2x + 3 < 20?

Answer 24

3 - 3, 20 - 3, 2x < 17, 2x / 2 = x, 17 / 2 = 8.5, answer= x < 8.5

Question 25

how do you factorise x^2 x 7x + 12?

Answer 25

(x + 3)(x+4) 4x3 = 12, 4 + 3 = 7

Question 26

how do you solve x^2 + 7x + 12 = 0

Answer 26

(x+3) ( X+4) = 0, means y = 0, x + 3 = 0, if take away 3 and 4 from both sides x = -3 and x = -4 (intercept 9 at 0 at those points)

Question 27

how do you find the 50th term when the nth term= 4n - 1

Answer 27

4x50 - 1 = 200 - 1 = 199

Question 28

how do you convert 1m to cm?

Answer 28

100cm, 1 x 100

Question 29

how do you convert 1cm to mm?

Answer 29

10mm, 1 x 10

Question 30

how do you convert 1km to m?

Answer 30

1000m, 1 x 1000

Question 31

how do you turn 8.3m into mm?

Answer 31

8.3 x 100 = 830 cm, 830 x 10 = 8300mm

Question 32

If alice buys a pack of 10 drinks for £4, and she sells all 10 drinks for 50p each, what is her percentage profit?

Answer 32

10 x 50p = 500p = £5, £1 profit. 1/4 = 25% profit

Question 33

how do you share £240 into the ratio 5:7?

Answer 33

5+7=12, 240/12 = £20, 5 x 20 = £100, 7 x 20 = £140 so £100:£140

Question 34

If Craig and Ian share money in ratio 8:3 and Craig recieves £32, how much does Ian receive?

Answer 34

32 / 8 = 4, 8 x 4 = 32, 3 x 4 = 12, 32:12, Ian receives £12

Question 35

If Emily and James share money in ratio 4:7 & James receives £21 more than Emily, how much do they share between them?

Answer 35

4:7, 7 - 4 = 3, 7x3 = 21, 4 x 3 = 7, 4 x 7 = 28, 7 x 7 = 49, 49 + 28 = 77, Answer £77

Question 36

if 3 tins of beans and 4 jars of jam weigh 2080g, the total weight of 5 tins of beans is 1800g, what is the weight of 1 tin of beans and 1 jar of jam?

Answer 36

1800 / 5 = 360, 360 + 360 + 360 = 1080, 2080 - 1080 = 1000g. 4 jam = 1000g / 4 = 1 jam = 250g, beans = 360g

Question 37

If a car has to travel 30 miles along motor way in 24 mins, will the car have to travel faster than 70mph to get there in 24 minutes?

Answer 37

70 miles = 60 minutes, 70 / 10 = 7, 60 / 10 = 6, 7 miles = 6 minutes, 6 x 4 = 24, 7 x 4 = 28, 28 miles = 24 minutes, wont make it in 24 minutes.

Question 38

Karl goes up to 20 miles away from home in 30 minutes, what was his speed?

Answer 38

20/0.5 = 40km/h

Question 39

Karl spends 15 mins at the shops & travels back at 60km/h, when will he get back?

Answer 39

20/60 = 1/3, 1/3 of an hour = 60 / 3 = 20, at 45 already + 20 = 65 minutes, took 20 minutes to get home.

Question 40

What is the formula for mass?

Answer 40

Mass = Density x Volume

Question 41

A rubber cube has lengths of 4cm, density of rubber is 1.5g/cm^3, what is the mass of the cube?

Answer 41

Volume = 4x4x4 = 64cm^3, 1.5x64 = 64 x 15 = 960 = 96.0 or mass = 96g

Question 42

What is a plan?

Answer 42

The top of a shape.

Question 43

How do you find the total amount of angles in a shape such as a octagon or hexagon?

Answer 43

number of sides - 2 x 180

Question 44

How do u find the size of angle x between a regular octagon and regular hexagon?

Answer 44

6-2 = 4, 4 x 180 = 720, 720/6 = 120 on each side, 8 - 2 = 6, 6 x 180 = 1080, 1080/8 = 135 on each side, 120 + 135 = 255, 360 - 225 = 105, the angle is 105

Question 45

How do u find the volume of a cuboid with 12 bottom length, 8 side length and 14 top length?

Answer 45

8x12 = 96cm^2, 96 x 14 = 1344cm^3

Question 46

How do u find the volume of a cylinder with 4cm radius and 15cm length?

Answer 46

pi x 4^2 = 16 pi 16 pi x 15 = 240 pi

Question 47

What is the value of sin30?

Answer 47

1/2

Question 48

What is the value of cos60?

Answer 48

1/2

Question 49

what is the length of AB if sin30: 1/2

Answer 49

Opp / Hyp = 4/0.5 = 8

Question 50

if the probability of getting a red counter is 0.2, and the probably for blue is 0.5, what is the probability for getting white or black if they are the same? If there is 60 counters in the bag, how many arae white? If we didn’t know there were 60 counters, and we only know there are 12 counters, how many counters are in the bag?

Answer 50

0.3 = 0.30 / 2 = 0.15. 15% of 60 = 9. 20% = 12 / 2 10% = 6 x 10 = 100

Question 51

How do you calculate range?

Answer 51

Find the largest value and subtract by the smallest variable

Question 52

How do you calculate mean?

Answer 52

Add all values up and then divide by the number of values in the data set

Question 53

How do you work out simultaneous equations?

Answer 53

Elimination methods, if the number on both equations is times by the same letter/coefficeient, it can be removed from the equation.

Question 54

How do you solve 3x + y = 11 I 2x + y = 8?

Answer 54

y-y = 0, y+y = 2y, x = 3 since 3 x 3 = 9 + 2 = 11, 2 x 3 = 6 + 2 = 8, also meaning y = 2