Frequency Tables and Statistical Measures, Exams of Mathematics

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Contents

Adding Fractions…………………… Multiplying Fractions………………. Dividing Fractions………………….. Reciprocals…………………………. Arithmetic with Decimals………….. Fractions, Decimals, Percentages.. Recurring Decimals………………… Significant Figures…………………. Use of a Calculator………………….. Estimation…………………………… Best Buys…………………………… Currency…………………………….. Conversion Graphs………………… Indices………………………………. Laws of Indices……………………. Negative Indices…………………… Fractional Indices…………………. LCM………………………………… HCF………………………………… Product of Primes………………… Applying Product of Primes……… Product of Primes (LCM/HCF)…… Standard Form…………………….. Expressing as a Percentage……… Percentage of Amounts…………… Percentage Change……………….. Simple Interest…………………….. Multipliers………………………….. Compound Interest……………….. Growth and Decay………………… Finance……………………………… Reverse Percentages……………… Simplifying Ratios………………….. Ratio 1:n ……………………………. Forming Ratio………………………. Ratios and Fractions………………. Sharing in a Ratio………………….. Ratio: One Quantity……………….. Given Two Ratios…………………..

Ratios and Equations………………… Direct Proportion……………………… Inverse Proportion……………………. Proportion Graphs…………………… Proportion - Time……………………. Rounding (High/Low)……………….. Error Intervals………………………… Upper/Lower Bounds……………….. Applying Bounds…………………….. Surds………………………………….. Rationalising Denominators………… Product Rule for Counting………….. Angles in Polygons………………….. Angles - Parallel Lines………………. Bearings………………………………. Back Bearings………………………… Constructions…………………………. Loci…………………………………….. Views and Elevations………………… Speed, Distance, Time………………. Distance-Time Graphs………………. Density………………………………… Pressure………………………………. Population Density…………………… Parts of a Circle……………………… Circumference……………………….. Perimeter of a Semi-Circle…………. Arc Length……………………………. Area of a Trapezium…………………. Area of Compound Shapes………… Area of a Circle………………………. Area of a Semi-Circle……………….. Area of a Sector……………………… Volume of a Prism…………………… Volume of a Cylinder………………… In terms of Pi…………………………. Volume of a Cone……………………. Volume of a Pyramid………………… Volume of a Sphere…………………..

Inequalities on a Number Line…….. Graphical Inequalities………………. Quadratic Inequalities………………. Triangular Numbers…………………. Fibonacci…………………………….. nth Term……………………………… Arithmetic Progressions…………… Geometric Progressions…………… Quadratic nth Term………………… Algebraic Proof…………………….. Frequency Trees…………………… Two-Way Tables……………………. Composite Bar Charts…………….. Pie Charts…………………………… Scatter Graphs……………………… Frequency Polygons……………….. Mode from Frequency Tables…….. Mean from Frequency Tables……… Median from Frequency Tables……. Combined Mean…………………….. Estimated Mean…………………….. Modal Class………………………….. Class containing the Median………. Median from Grouped Data……….. Stem and Leaf………………………. Quartiles……………………………… Cumulative Frequency……………… Box Plots…………………………….. Histograms…………………………… Probability……………………………. Not Happening………………………. Expectation………………………….. Relative Frequency………………….. Tree Diagrams……………………….. Independent Events…………………. Conditional Probability………………. Venn Diagrams……………………….. Capture Recapture…………………… Samples……………………………….

Adding & Subtracting Fractions - Video 133

1. Work out

2. Work out

3. Work out

Multiplying Fractions - Video 142

4. Work out

5. Work out

5 8

1 3 7 15 − 3 10 5 1 4

• 1 2 5 1 2 × 2 3 3 8 × 1 2 5

Arithmetic with Decimals - Videos 90, 91 , 92 , 93 , 94

11. Work out 6.15 + 2.

12. Work out 7.3 − 2.

13. Work out 0.9 x 0.

14. Work out 74.58 ÷ 5

15. Work out 14.6 ÷ 0.

Fractions, Decimals and Percentages - Videos 129, 130

16. Fill in the missing values

Recurring Decimals - Video 96a

17. Circle the two fractions below that are recurring when converted to decimals.

Recurring Decimals - Video 96

18. Use algebra to write as a fraction.

4 5 2 3 1 10 7 9 3 8

· 3 · 8

Best Buys - Video 210

24. A shop sells the same type of highlighter in two different packs.

Pack A has 6 highlighters and costs £3.

Pack B has 9 highlighters and costs £5.

Which pack is better value for money?

Exchange Rates - Video 214a

25. Orla went to Spain.

She changed £425 into euros (€).

The exchange rate was £1 = €1.

Change £425 into euros.

26. On her return to Belfast, Orla changed €80 into pounds (£).

The new exchange rate was £1 = €1.

Change €80 into pounds.

Conversion Graphs - Videos 151, 152

27. Complete the table below

Draw a conversion graph for converting between pounds and rupees.

Negative Indices - Video 175

34. Work out

35. Work out

36. Work out

Fractional Indices - Video 173

37. Work out

38. Work out

5 −^2 10 −^3 ( 2 3 ) − 2 9 1 2 1000 −^ 1 3

39. Work out

40. Work out

LCM/HCF - Videos 218, 219

41. Find the lowest common multiple of 12 and 15

42. Find the highest common factor of 18 and 45

27 2 3 32 − (^35)

47. Given that

Find the lowest whole number that 120 would need to be multiplied by to give a

cube number.

Product of Primes - LCM/HCF - Video 224

48. Find the HCF and LCM of 48 and 60

HCF = …………………………………………

LCM = …………………………………………

120 = 23 × 3 × 5

Standard Form - Videos 300, 301, 302, 303

49. Write 700000 in standard form

50. Write 28000 in standard form

51. Write 0.094 in standard form

52. Write as an ordinary number

53. Write as an ordinary number.

1.7 × 104 9.2 × 10 −^3

Expressing as a Percentage - Video 237

58. Josie scored 19 out of 20 in a test.

Write Josie’s result as a percentage.

59. There are 29 students in a class.

6 of the students are left handed.

What percentage of the class are left handed?

Give your answer to 1 decimal place.

Percentages of Amounts (Non-Calculator) - Video 234

60. Work out 50% of 18

61. Work out 10% of 350

62. Work out 25% of 32

63. Decrease 90 by 30%

64. Work out 175% of 60

Percentages of Amounts (Calculator) - Video 235

65. Work out 3% of 2800

66. Work out 34% of 700