Math Practice Questions and Examples
Improve your math skills with practice questions and examples on topics like ratio, proportion, averages, linear equations, statistics, percentages, currency conversion, and more. Enhance your understanding of mathematical concepts through visual aids and step-by-step solutions.
Uploaded on | 0 Views
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
B F2B Questions and Method examples
Q26. Ratio & Proportion: Recipes Eggs : Omelettes 2 : 12 e : 71 71 12 = 5.9 12 2 x 5.9 = 11.8 = e (round up to whole eggs)
Q27. Averages: Median from a frequency table Fill in the table (multiply the people & the frequency Add up the total frequency, 12+10+72+7+8 = 109 Find the median (109+1 55) The 55th person is in group 6 12 10 72 = 2 7 8 6
Q28. Expand/factorise linear: Expand and simplify two brackets 40e + 45 28e + 24 12e + 69 12e + 69
Q29. Statistics: Mode Write out the numbers in size order 5, 5, 8, 8, 8, 10, 12, 14 The mode is the most common number = 8 8
Q30. Percentages 34 47 = 0.7234 0.7234 x 100 = 72.34% 72%
Q31. Converting Currency 784 1.12 = 700 700
Q32. Ratio & Fractions 7 19 = 12 12 19 14 = 4.5% 1 - 19 9 + 5 = 14 4.5% x 5 = 22.6% 23
Q34. Understanding linear graphs Select one of the following
Q35. Area problem solving 10 x 6 = 60m 60 3 = 20 tins 20 x 1.7 = 34 34 00
Q36. Venn Diagram Start with the middle and work outwards Spain: 23 6 = 17 France: 18 6 = 12 Neither: 50 17 - 6 - 12 = 15 17 6 12 15 50 15
Q37. Volume 9 x 2 x 3 = 54 54
Q38. Compound Interest YEAR 1: 3000 x 2% = 60 3000 + 60 = 3060 YEAR 2: 3060 x 2% = 61.2 3060 + 61.2 = 3121.2 3121.20
Q39. Simultaneous Equations 4x + 3y = 14 20x + 15y = 70 (times 5) 5x + 7y = 11 20x + 28y = 44 (times 4) 4x + 3y = 14 4x + 3(-2) = 14 4x - 6 = 14 4x = 20 x = 5 (y = -2) 20x + 28y = 44 - 20x + 15y = 70 13y = - 26 y = -2 x = 5, y = -2
Q40. Quadratic Equations 4 -2 4
Q41. Sequences nth term Pattern: +4 = 4n Previous term before 1 = -3 4n - 3 4n 3 = 95 4n = 98 n = 24.5 n cannot be a decimal so 95 is not in the sequence
Q42. Congruent Shapes Which two shapes are congruent? A and F
Q44(a). Area & Perimeter of a circle Area = r x 3.6 = 40.715 40.7 m
Q44(b). Area & Perimeter of a circle Circumference = 2 r or d 6.1 x 2 x = 38.327 38.3cm
Q45(a). Transformations: Translations Focus on one spot and describe how to get to the other shape A translation using vector 6 -1
Q45(b). Transformations: Refection x = -1 Q y = 0 R A rotation of 180 around (0,0)
Q45(c). Transformations: Rotation Which two shapes are congruent? A and F
Q45(c). Transformations: Rotation Which two shapes are congruent?
Q45(d). Transformations: Enlargements An enlargement of scale factor 2 With a centre of enlargement (5,6)
Q46. Median & Mean 2, 2, 3, 3, 3, 4, 4, 4, 5, 6 Median = 3.5 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 6 = 36 Mean = 3.6 36 10 = 3.6
