WEILAI Online Academic assistant
WEILAI Online Academic assistant
Back to 课程

Maths Gcse Aqa Higher

0% Complete
0/0 Steps
  1. Scatter-Graphs-And-Correlation Aqa Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Aqa Higher
    4 主题
  3. Histograms Aqa Higher
    3 主题
  4. Statistical-Diagrams Aqa Higher
    5 主题
  5. Averages-Ranges-And-Data Aqa Higher
    7 主题
  6. Combined-And-Conditional-Probability Aqa Higher
    3 主题
  7. Tree-Diagrams Aqa Higher
    1 主题
  8. Simple-Probability-Diagrams Aqa Higher
    3 主题
  9. Transformations Aqa Higher
    5 主题
  10. Vectors Aqa Higher
    6 主题
  11. 3D-Pythagoras-And-Trigonometry Aqa Higher
    1 主题
  12. Sine-Cosine-Rule-And-Area-Of-Triangles Aqa Higher
    4 主题
  13. Pythagoras-And-Trigonometry Aqa Higher
    4 主题
  14. Area-And-Volume-Of-Similar-Shapes Aqa Higher
    1 主题
  15. Congruence-Similarity-And-Geometrical-Proof Aqa Higher
    5 主题
  16. Volume-And-Surface-Area Aqa Higher
    3 主题
  17. Circles-Arcs-And-Sectors Aqa Higher
    2 主题
  18. Area-And-Perimeter Aqa Higher
    4 主题
  19. Circle-Theorems Aqa Higher
    7 主题
  20. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Higher
    5 主题
  21. Angles-In-Polygons-And-Parallel-Lines Aqa Higher
    3 主题
  22. Symmetry-And-Shapes Aqa Higher
    6 主题
  23. Exchange-Rates-And-Best-Buys Aqa Higher
    2 主题
  24. Standard-And-Compound-Units Aqa Higher
    5 主题
  25. Direct-And-Inverse-Proportion Aqa Higher
    2 主题
  26. Problem-Solving-With-Ratios Aqa Higher
    2 主题
  27. Ratios Aqa Higher
    3 主题
  28. Sequences Aqa Higher
    4 主题
  29. Transformations-Of-Graphs Aqa Higher
    2 主题
  30. Graphing-Inequalities Aqa Higher
    2 主题
  31. Solving-Inequalities Aqa Higher
    2 主题
  32. Real-Life-Graphs Aqa Higher
    4 主题
  33. Estimating-Gradients-And-Areas-Under-Graphs Aqa Higher
    2 主题
  34. Equation-Of-A-Circle Aqa Higher
    2 主题
  35. Functions Aqa Higher
    3 主题
  36. Forming-And-Solving-Equations Aqa Higher
    3 主题
  37. Graphs-Of-Functions Aqa Higher
    6 主题
  38. Linear-Graphs Aqa Higher
    4 主题
  39. Coordinate-Geometry Aqa Higher
    4 主题
  40. Iteration Aqa Higher
    1 主题
  41. Simultaneous-Equations Aqa Higher
    2 主题
  42. Quadratic-Equations Aqa Higher
    4 主题
  43. Linear-Equations Aqa Higher
    1 主题
  44. Algebraic-Proof Aqa Higher
    1 主题
  45. Rearranging-Formulas Aqa Higher
    2 主题
  46. Algebraic-Fractions Aqa Higher
    4 主题
  47. Completing-The-Square Aqa Higher
    1 主题
  48. Factorising Aqa Higher
    6 主题
  49. Expanding-Brackets Aqa Higher
    3 主题
  50. Algebraic-Roots-And-Indices Aqa Higher
    1 主题
  51. Using-A-Calculator Aqa Higher
    1 主题
  52. Surds Aqa Higher
    2 主题
  53. Rounding-Estimation-And-Bounds Aqa Higher
    2 主题
  54. Fractions-Decimals-And-Percentages Aqa Higher
    3 主题
  55. Introduction Aqa Higher
    7 主题
  56. Simple-And-Compound-Interest-Growth-And-Decay Aqa Higher
    4 主题
  57. Percentages Aqa Higher
    3 主题
  58. Fractions Aqa Higher
    4 主题
  59. Powers-Roots-And-Standard-Form Aqa Higher
    4 主题
  60. Prime-Factors-Hcf-And-Lcm Aqa Higher
    4 主题
  61. Number-Operations Aqa Higher
    10 主题
课 Progress
0% Complete

Exam code:8300

Two-way tables

What are two-way tables?

  • Two-way tables are tables that compare two types of characteristics

    •  For example, a college of 55 students has two year groups (Year 12 and Year 13) and two language options (Spanish and German)

    • The two-way table is shown: 

       

      Spanish

      German

      Year 12

      15

      10

      Year 13

      5

      25

How do I find probabilities from a two-way table?

  • Draw in the totals of each row and column

    • Include an overall total in the bottom-right corner

      • It should be the sum of the totals above, or to its left (both work)

    • For the example above:
       

       

      Spanish

      German

      Total

      Year 12

      15

      10

      25

      Year 13

      5

      25

      30

      Total

      20

      35

      55

  • Use this to answer probability questions

    • If a random student is selected from the whole college, it will be out of 55

      • The probability a student selected from the college studies Spanish and is in Year 12 is 15 over 55

      • The probability a student selected from the college studies Spanish is 20 over 55

    • If a random student is selected from a specific category, the denominator will be that category total

      • The probability a student selected from Year 13 studies Spanish is 5 over 30

Examiner Tips and Tricks

  • Check your row and column totals add up to the overall total, otherwise all your probabilities will be wrong!

Worked Example

At an art group, children are allowed to choose between colouring, painting, clay modelling and sketching.

A total of 60 children attend and are split into two classes: class A and class B.
12 of class A chose the activity colouring and 13 of class B chose clay modelling.
A total of 20 children chose painting and a total of 15 chose clay modelling.
8 of the 30 children in class A chose sketching, as did 4 children in class B.

 (a) Construct a two-way table to show this information.

Read through each sentence and fill in the numbers that are given

 

Colouring

Painting

Clay modelling

Sketching

Total

Class A

12

 

 

8

30

Class B

 

 

13

4

 

Total

 

20

15

 

60

Use the row and column totals to fill in any obvious missing numbers

 

Colouring

Painting

Clay modelling

Sketching

Total

Class A

12

 

15 – 13 = 2

8

30

Class B

 

 

13

4

60 – 30 = 30

Total

 

20

15

8 + 4 = 12

60

Use the row and column totals again to find the last few numbers

 

Colouring

Painting

Clay modelling

Sketching

Total

Class A

12

30 – 12 – 2 – 8 = 8

2

8

30

Class B

30 – 12 – 13 – 4 = 1

20 – 8 = 12

13

4

30

Total

12 + 1 = 13

20

 <p class=”text-cente

Responses

您的邮箱地址不会被公开。 必填项已用 * 标注