math Flashcards

(21 cards)

1
Q

how to find a decimal

A

Divide the numerator by the denominator.

Add a decimal point and zeros if needed.

Keep dividing until the division stops or repeats.

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2
Q

how to find a percentage

A

Example: Find 25% of 80
50% of 80 = 40

Half of that (25%) = 20

✅ Answer: 25% of 80 = 20

✅ Example: Find 15% of 60
10% of 60 = 6

5% of 60 = 3

Add them: 6 + 3 = 9

✅ Answer: 15% of 60 = 9

🔹 2. Turn a fraction into a percentage (no calculator)
Step 1: Make the bottom (denominator) into 100 if you can.

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3
Q

how to do the mode

A

Mode = the number that appears most often in a list.

Back (Example):
List: 3, 7, 7, 2, 9
→ 7 appears twice.
✅ Mode = 7

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4
Q

how to do median

A

Median = the middle number when the numbers are in order.
(If there’s an even number of values, average the two middle ones.)

Back (Example):
List: 2, 4, 5, 8, 9
→ Already in order
→ Middle number = 5
✅ Median = 5

Another example (even amount):
List: 1, 3, 6, 10
→ Middle two: 3 and 6
→ (3 + 6) ÷ 2 = 4.5
✅ Median = 4.5

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5
Q

how to do mean

A

Mean = add all numbers, then divide by how many numbers there are.

Back (Example):
List: 2, 3, 5, 10
→ Add: 2 + 3 + 5 + 10 = 20
→ Divide by 4
✅ Mean = 5

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6
Q

f the average of 5 numbers is 10, then the total sum of those 5 numbers is:

A

5 times 10 =50

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7
Q

negative exponent

A

a ^ -n = 1/a^ n

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8
Q

hwo to divide fractions

A

For dividing fractions, keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down.

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9
Q

divide by decimals

A

turn into intergers

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10
Q

Prove algebraically that 0.73·
can be written as
11/15

A

numbers after decimal point have to match up

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11
Q

what do you do if you have a negative exponent

A

flip the fraction
​after loook at notes

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12
Q

how to do compund interets without a calculator

A

e.g.10% of £3,000 =

10 percent of 3000 = 300

So after Year 1:

3000+300=3300

Year 2:
Now we take 10% of £3,300:330

So after Year 2:

3300
+
330
=
3630
3300+330=3630

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13
Q

how to figure out copound interest

A

initial x mutiplier (to the power of time)

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14
Q

how to figure out percentage profit

A

Profit percentage = (Profit/Cost Price) × 100.

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15
Q

how to divide something by something if hard

A

simplify it as a fraction

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16
Q

depreciation formula

A

initial value x rate to - poweredthe number of years

17
Q

how do you do percentage increase / decrease

A

Percentage Change = ((New Value - Original Value) / Original Value) * 100.

18
Q

what is one decimal place

19
Q

space diagonal equation

A

Spacediagonal = cube root 3

20
Q

face diagonal

21
Q

hwo to find upper bound of p

A

upperbound / lower bound