MATH Flashcards
Calculate 56-32+78
102
reciprocal of 4/5
5/4
reciprocal of 2
1/2
the lowest temperature recorded at scott base in antartica is -57°C. The highest temperature recorded at Scott base is 63.8°C more than this.
Whats the highest temperature recorded at Scott base
-57°C + 63.8°C = 6.8°C
The lowest temperature recorded in a town is -45°C. The highest temperature recorded there is 58.5°C more than this.
What is the highest temperature recorded in the town?
Highest temperature = -45°C + 58.5°C = 13.5°C
Rashid changes 30,000 rupees to dollars when the exchange rate is $1=68.14 rupees. How many dollars does he recieve
Dollarsreceived
Dollarsreceived=
Exchangerate
Rupees
Substitute the given values:
30
,
000
68.14
≈
440.23
Dollarsreceived=
68.14
30,000
≈440.23
IN a class of 30 students, 18 study mathematics, 15 study science and 10 study both subjects
(i) how many students study only mathematics?
(ii) how many study only science
(iii) how many study neither subjects.
(i) (M∖S)=18−10=8
(ii) (S∖M)=15−10=5
(iii) 18+15−10=23
Now:
𝑛
(
Neither
)
=
30
−
23
=
7
n(Neither)=30−23=7
Express 84 as a product of its prime factors.
84=2
2
×3×7
Find the HCF and LCM of 24 and 36
Factorsof24:1,2,3,4,6,8,12,24
Factorsof36:1,2,3,4,6,9,12,18,36
Commonfactors:1,2,3,4,6,12
The highest common factor is 12.
HCF = 12
Multiples of 24:
Multiplesof24
:
24
,
48
,
72
,
96
,
120
,
144
,
…
Multiplesof24:24,48,72,96,120,144,…
Multiples of 36:
Multiplesof36
:
36
,
72
,
108
,
144
,
…
Multiplesof36:36,72,108,144,…
The lowest common multiple is 72.
LCM = 72
(i) Factorise the expression x²-5x+6=0
(ii) Hence solve the equation
(i) we need to find two numbers that multiply to 6 and add up to -5.
The numbers that work are -2 and -3
Thus factories to (x-2)(x-3)=0
(ii) x−2=0
x=2x = 2x=2
x−3=0x - 3 = 0x−3=0
x=3x = 3x=3
Factorise 3x²+11x-4
(3x−1)(x+4)
The population of town P increased from 20,000 to 25000 in one year. What is the percentage increase?
20000/25000 × 100
5000/20000 × 100
0.25×100 = 25%
The population of town Q increased from 15,000 to 18,000 in one year. What is the percentage increase?
18,000−15,000=3,000
Percentage Increase =
3,000/15,000 × 100
0.2 × 100 = 20%
A jacket originally costs $80. During a sale it is offered at a 25% discount what is the price of the jacket after the discount ?
25/100 × 80
= 0.25 × 80
= 20
80-20= $60
A watch costs $120 the price increase by 20% what is the new price of the watch ?
20/100 × 120
= 0.2×120= 24
120+24= $144