Appreciation/Depreciation/Fractions N5 Maths

Appreciation and Depreciation

​Sophies Tutoring Caithness

National 5 Mathematics

We use the formula:

​Notes:

For appreciation, use +

For depreciation, use -

'n' can be years, months, days, minutes or seconds

​Example:

​A house is valued at £240,000. Its value is predicted to rise by 2.8% per annum. Calculate its predicted value after 2 years.

Math Response

The interest earned on £3800 at 4% per annum after 3 years.

Type answer here

Correct Answer: 474.48

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Math Response

The populatin of a village after 4 years if it started with 1500 and decreases by 6% yearly.

Type answer here

Correct Answer: 1171

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Math Response

The number of bacteria after 3 hours if 30 are present initially and are increasing by 42% per hour.

Type answer here

Correct Answer: 85

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Math Response

The value of a ring, initially costing £799, after 3 year depreciation at 8.2% per year.

Type answer here

Correct Answer: 618.12

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Math Response

The volume of a 750ml jelly mould after 2 hours if decreasing by 5.6% per hour

Type answer here

Correct Answer: 668.4

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Math Response

The school roll after 5 years if increasing by 8% per year from 630 initially

Type answer here

Correct Answer: 925

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Math Response

The balance after 3 years when £240 is deposited with a 2.8% interest rate

Type answer here

Correct Answer: 260.73

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Math Response

The sewage in a canal after 4 months if clearing removes 23% of the initial 238mg/litre per month.

Type answer here

Correct Answer: 83.7

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Math Response

The trade in price of a car after 3 years. Bought for £13500, depreciating by 9% per year.

Type answer here

Correct Answer: 10173.21

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Math Response

The value of an art piece, valued at £23,000, after 9 years increasing by 12.5% per year

Type answer here

Correct Answer: 66389.67

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Math Response

APPLYING QUESTION

The population of 39200

Motherwell has a population of 32500

If the population of Airdrie drops by 4% yearly whilst the Motherwell population rises by 5%, how long will it take before Motherwell has a greater population than airdrie

Type answer here

Correct Answer: 3

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Now we are going to have a 10 minute break - go and grab a drink and a snack and return when finished.

Working with fractions

​Sophies Tutoring Caithness

National 5 Mathematics

Adding and subtracting fractions

Step 1: Multiply the two terms on the bottom to get the same denominator

Step 2: Multiply the top number on the first fraction with the bottom number of the second fraction to get the new top number of the first fraction

Step 3: Multiply the top number on the second fraction with the bottom number of the first fraction to get the new top number of the second fraction

Step 4: Now add/subtract the top numbers and keep the bottom number so that now you have one fraction

Step 5: Simplify if required

​Example

​Example

Multiplying fractions

Step 1: Multiply the top numbers together

Step 2: Multiply the bottom numbers together

Step 3: Simplify

​Example

​Dividing fractions

Step 1: Keep the first fraction as it is

Step 2: Change the divide sign to a multiply

Step 3: Flip the second fraction upside down

Remember: Keep it, change it, flip it

​Example

Math Response

Calculate the following:

$$\frac{3}{8\ }+\frac{4}{8}$$

Type answer here

Correct Answer: \frac{7}{8}

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Math Response

Calculate the following:

$$\frac{1}{6}+\ \frac{3}{4\ }$$

Type answer here

Correct Answer: 11

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Math Response

Calculate the following:

$$\frac{4}{5}-\ \frac{1}{5}$$

Type answer here

Correct Answer: \frac{3}{5}

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Math Response

Calculate the following:

$$\frac{5}{6}-\frac{2}{9\ }$$

Type answer here

Correct Answer: \frac{11}{18}

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Math Response

Calculate the following:

$$\frac{2}{5}\times\frac{3}{4}$$

Type answer here

Correct Answer: \frac{3}{10}

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Math Response

Calculate the following:

$$\frac{3}{4}\ \times\frac{4}{9\ }$$

Type answer here

Correct Answer: \frac{1}{3}

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Math Response

Calculate the following:

$$\frac{1}{4}\div\frac{1}{2}$$

Type answer here

Correct Answer: \frac{1}{2}

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Math Response

Calculate the following:

$$\frac{2}{3\ }\div\frac{5}{6}$$

Type answer here

Correct Answer: \frac{4}{5}

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