Home/Tag: Ratios
7 12, 2018

Ratios: Areas & Volumes

By |2018-12-07T16:03:19+10:00December 7th, 2018|Tags: , , |Comments Off on Ratios: Areas & Volumes

Ratios: Areas & Volumes Go to the Forum to see more questions or ask your own Formulas used in   ratio of sides = a : b ratio of areas = a2 : b2 ratio of volumes = a3 : b3 Worked examples The ratio of the lengths of the [...]

6 12, 2018

Ratios

By |2018-12-06T17:30:24+10:00December 6th, 2018|Tags: , |Comments Off on Ratios

Ratios Go to the Forum to see more questions or ask your own Worked examples Divide $1000 in the ratio 3:2. 1000 ÷ 5 = 200 ∴ each part is worth $200 there are 3 and 2 parts, which make 5 divide 1000 into 5 parts to find the [...]

7 10, 2016

Frequency Distribution Table

By |2016-11-06T13:32:18+10:00October 7th, 2016|Tags: , , , , |Comments Off on Frequency Distribution Table

Frequency Distribution Table worked examples The class test results on a recent quick quiz were as follows:  4          2          8          7          6          5          9         8          4          6          3          8          7          9      1          6          7          2          5          4          2      9          8          6          2          [...]

30 07, 2016

Inverse Variation

By |2016-11-05T17:36:40+10:00July 30th, 2016|Tags: , , |Comments Off on Inverse Variation

Inverse Variation The statement   The variation statement The mathematical equation y varies inversely as x y $$\alpha$$ 1/x y = k/x the velocity of a body falling from rest varies inversely with the time fallen v $$\alpha$$ 1/t v = k/t the circumference (C cm) of a [...]

30 07, 2016

Direct Variation

By |2016-11-05T17:37:58+10:00July 30th, 2016|Tags: , , |Comments Off on Direct Variation

Direct Variation The statement The variation statement The mathematical equation y varies as x y $$\alpha$$ x y = kx the velocity of a body falling from rest varies with the time fallen v $$\alpha$$ t v = kt the circumference (C cm) of a circle varies directly as its [...]

11 06, 2016

Median

By |2016-10-26T11:16:56+10:00June 11th, 2016|Tags: , , |Comments Off on Median

Median Middle score Median= $$\frac12(n+1)$$ worked examples For the following set of scores find the median: 1, 8, 7, 4, 8, 8, 7, 12, 3, 2, 6 1   2   3   4   6   7   7   8   8   8   12 step [...]

11 06, 2016

Median From Table

By |2016-11-06T13:28:44+10:00June 11th, 2016|Tags: , , , |Comments Off on Median From Table

Median From Table worked examples Find the median Number of hours 0 to 4 5 to 9 10 to 14 15 to 19 20 to 24 Class Centre 2 7 12 17 22 Frequency 5 8 3 2 1 Number of hours 0 to 4 5 [...]

31 05, 2016

Stem & Leaf

By |2016-11-06T13:31:31+10:00May 31st, 2016|Tags: , , |Comments Off on Stem & Leaf

Stem & Leaf Plots worked examples The following scores (out of 50) were achieved in a Spanish test in a class of 23 students. The results are set out below in a stem and leaf graph. a. Find the range. b. Find the median. c. Find the mean mark. d. [...]

19 05, 2016

Shadows

By |2016-11-05T17:47:01+10:00May 19th, 2016|Tags: , , |Comments Off on Shadows

Shadows worked examplesA building casts a shadow of 30m. At the same time, a 2m tall fence post casts a shadow of 1.4m a. Draw a neat diagram showing all of this information. b. Calculate the height of the building correct to 1 decimal place.a. draw the height and shadows of the [...]

27 08, 2015

Box and Whisker Plots

By |2016-11-06T13:29:47+10:00August 27th, 2015|Tags: , , |Comments Off on Box and Whisker Plots

Box and Whisker Plots The box and whisker plot is made up of two 'whiskers' and a box. Lowest score: the lowest score in the data set Q1: the lower quartile, which cuts off the bottom 25% of the scores Median: the middle of the scores, which cuts off the middle [...]