Entire Nat 5 Maths Notes (Part 2): Applications

Alternative transcript:

A - sinB = sinc Sine) b Sin 13 = sinc Cosine: a²=6²+c²2bccos A Cosine: co SA=b²+c²a² zbc Area: A= absin C O C 3.3 4100 perpentages ... reverse percentages + appreciation For reverse percentages you have to know that the question is telling you that the number you are dealing with is not 100%. To work to reverse percentages you must. Add or subtract the percentage in the problem from 100 - Find.. Find 1001, by multiply I'l one percent by dividing by the percent you got in the last step by YOO For example: A man recieves a 101. pay rise. His new pay is £440. What was his original pay? (1007 400 28 00 To work out appreciation we use a fast method. Add on the amount that is in the question to 1001. Divicle this. new number by 100 to get a decimal •Write this decimal to the power of however, many times you need. Round where ne Multiply the amount of money by this necessary For example. A flat bought for £14000 in 2008 appreciated by 1.5% each year. How much would it be worth after 4 years? 1007 * 15:1- = 10157_=_=_=_=_=_=1.015 ●74000×(1-015) E = 18540 90215- 412540.90 S To add and subtract fractions. Find the lowest common multiple of the 2 denominators Multiply the numerators by whatever. you Add or subtract Simplify 3.3 To multiply fractions Cancel to simplify Multiply \34²-²5= {²^². To divide fractions.. Flip the second fraction •Change the & sign to ax •Cancel to simplify Multiply 1 fractions ractions № 9 € -33 = 6 € - SAL 5 22 multiplied the demminators by. Note than in subtraction. have to borrow you may from a whole number when working with whole numbers in x & - make them top heavy. $!=Z=14 O 3.4 O ● s standard deviation N - Standard deviation is a measure of spread. It tells us on average how far the results are from the mean. It tello us if the standard deviation is small the results are close to the mean and if the standard deviation is large, the results are more spread out. ✓ To work out standard deviation you use the formula 5d=26=-=) where I means sum of 0-1 is the mean An example could be: Find the mean -standard deviation of 47,9,11, 13, 15, 18 First work out the mecin, then place in the table then in the formula MCVEXE 9 xx-- -7 -4 O 15 2 S K n (-11 149 A 104 16 n-l SE 132 E3=4.196 n is the number of values You also will get asked to make 2 sentences explaining what you have found. Talking about the mean you should say "on average and then include a superlative such as higher faster or tailer • Talking about the standard deviation you should say that it is less varied and more consistent if it is a lower number, and the opposite for to higher number. For example: A group of runners take part in monthly time trials. Before the start of the trials, me mean time for the group was 12 mins with a sd of 3.4. After the trials, the mean was a mins with a id of 4.9. "On average the times were faster after the trial Before time trials were less varied