Maths non calculator

Question 1

What is 180 as a product of its prime factors?

Answer 1

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 2

If something costs £640 and in the sale it costs £128 less what is the percentage decrease in the cost?

Answer 2

100% = £640
10% = £64, 20% = £128
20%

Question 3

Convert 29/12 to a mixed number

Answer 3

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

Question 4

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

Answer 4

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 5

What is 0.0034 in standard form?

Answer 5

3.4 x 10^-3

Question 6

how do you write 35% as a decimal?

Answer 6

35 / 100 = 0.35

Question 7

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

Answer 7

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

Question 8

How do you turn 6/25 into a percentage?

Answer 8

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

Question 9

how do you turn 0.295 into a percentage?

Answer 9

0.295 x 100 = 29.5%

Question 10

what is -2-7?

Answer 10

-9

Question 11

what is 2–7?

Answer 11

9

Question 12

-3 x -5?

Answer 12

15

Question 13

3 x -5?

Answer 13

-15

Question 14

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

Answer 14

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

Question 15

what integer (whole number) values of x satisfy the following -2 < x < 4

Answer 15

-1, 0, 1, 2, 3

Question 16

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

Answer 16

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

Question 17

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

Answer 17

(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 18

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

Answer 18

4x50 - 1 = 200 - 1 = 199

Question 19

how do you convert 1m to cm?

Answer 19

100cm, 1 x 100

Question 20

how do you convert 1cm to mm?

Answer 20

10mm, 1 x 10

Question 21

how do you convert 1km to m?

Answer 21

1000m, 1 x 1000

Question 22

how do you turn 8.3m into mm?

Answer 22

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

Question 23

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 23

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

Question 24

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

Answer 24

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

Question 25

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

Answer 25

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 26

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 26

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 27

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

Answer 27

20/0.5 = 40km/h

Question 28

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

Answer 28

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 29

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

Answer 29

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

Question 30

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

Answer 30

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

Question 31

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 31

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