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# Learning math is fun & easy

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### Learning math is fun & easy

1. 1. LEARNING MATH IS FUN & EASY
2. 2. NUMBERS 1. WHOLE NUMBERS 2. FRACTIONS 3. DECIMALS 4. MONEY 5. PERCENTAGE
3. 3. POINTS TO PONDER TOPIC CONTENTS WHOLE NUMBERS <ul><li>WRITE NUMBER </li></ul><ul><li>PLACE /DIGIT VALUE </li></ul><ul><li>ROUND OFF </li></ul><ul><li>OPERATIONS ( +, - x , ÷ ) </li></ul><ul><li>NUMBER LINE </li></ul><ul><li>MIXED OPERATIONS </li></ul>FRACTIONS <ul><li>EQUIVALENT /SIMPLEST FORM </li></ul><ul><li>+, -, x, ÷ </li></ul><ul><li>NUMBER LINE </li></ul><ul><li>CONVERT TO DECIMALS/PERCENTAGE </li></ul><ul><li>FRACTION OF THE SHADED REGION </li></ul><ul><li>FRACTION OF A WHOLE NUMBER </li></ul>
4. 4. DECIMALS <ul><li>OPERATIONS ( +, - x , ÷ ) </li></ul><ul><li>NUMBER LINE </li></ul><ul><li>PLACE /DIGIT VALUE </li></ul><ul><li>CONVERT TO FRACTIONS </li></ul><ul><li>ROUND OFF </li></ul>MONEY <ul><li>TOTAL OF MONEY/PRICE/BALANCE </li></ul><ul><li>COST PRICE/SELLING PRICE/PROFIT/LOSS </li></ul><ul><li>INCOMPLETE BILL </li></ul><ul><li>PERCENTAGE OF SAVING/TOTAL OF SAVING </li></ul>PERCENTAGE <ul><li>CALCULATE THE PERCENTAGE </li></ul><ul><li>DISCOUNT </li></ul><ul><li>PERCENTAGE OF THE SHADED REGION </li></ul><ul><li>CALCULATE THE VALUE FROM THE GIVEN PERCENTAGE </li></ul><ul><li>CONVERT TO FRACTIONS </li></ul>
5. 5. Solution : 7 digit number Seven million Fifty thousand Three Answer: C. 7 050 003 Seven million fifty thousand and three 7 5 3 0 0 0 0 Million Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones <ul><ul><ul><li>Seven million fifty thousand and three in numerals is </li></ul></ul></ul><ul><ul><ul><ul><li>A 7 500 030 C 7 050 003 </li></ul></ul></ul></ul><ul><ul><ul><ul><li>B 7 050 300 D 7 005 003 </li></ul></ul></ul></ul>1.
6. 6. 4 56 7 123 PLACE VALUE DIGIT VALUE THOUSANDS 7 000
7. 7. Round off 6354 to the nearest ten A 6300 C 6355 B 6350 D 6360
8. 8. (2003) Which of the following numbers when rounded off to the nearest ten thousand becomes 5 490 000? A 5 499 042 B 5 495 047 C 5 494 374 D 5 484 916
9. 9. The diagram below shows a number line. Find the value of W . A 45 880 C 46 880 B 46 380 D 47 380 Answer : C. 46 880 + 500 + 500 + 500 45 380 + 500 45 880 45 380 - 44 880 500 45 880 + 500 46 380 46 380 + 500 46 880 Solution : Find the difference 44 880 45 380 W 44 880 45 380 W
10. 10. 406 532 71 908 Find the difference between the value of digit 6 and the value of digit 9 in the two numbers. A 300 C 5100 B 3000 D 8400 Answer : C. 5100 Solution : Difference = subtraction 406 532 71 908 Th 6 Thousands = 6000 9 Hundreds = 900 6 0 0 0 - 9 0 0 5 1 0 0 6000 - 900 = H
11. 11. 66 674 ÷ 37 = A 182 B 1082 C 1802 D 1820 1 8 0 _ 37 ) 66 674 37 29 6 29 6 00 07
12. 12. Diagram shows an incomplete number line. Find the value of Q. Q
13. 14. 5.75
14. 15. What number must be written in the above? 480 X = 240 240 x 5 =1200
15. 16. ÷ 8 = ÷ X =
16. 17. FRACTION Diagram 8 consists of several squares of equal size . Find the fraction of the shaded region of the whole diagram. Diagram 8 ÷ 2 ÷ 2 A B C D 1 2 1 4 3 8 5 8 6 16 = 3 8 =
17. 18. The diagram shows a decimal labelled W, X, Y and Z Which letter represents ? Whole number . 2 2 2 2 W X Y Z . 2 . 2 2 2 W X Y Z
18. 19. Round off 54.019 to two decimal places A 54.02 C 54.20 B 54.10 D 55.02
19. 20. Diagram shows two number cards. Find the difference between digit 3 and digit 8. A 0.05 C 0.38 B 0.22 D 0.77 6.78 2.34
20. 21. 2000 A 4.027 B 4.63 C 4.937 D 5.0 5.007 - 0.07
21. 22. 65 sen  400 = A RM26 C RM2 600 B RM260 D RM26 000
22. 23. Fifty-eight thousand eight ringgit and eighty sen is written as A RM58 800.08 C RM58 008.80 B RM58 080.80 D RM58 800.08 sen Fifty-eight thousand eight ringgit and eighty sen RM sen M Th H/Tn/O 5 8 0 0 8 8 0 RM . .
23. 24. Puan Anita paid with a RM50 note and received a balance of RM13.60. Calculate the price of one metre of red cloth. Diagram below is incomplete bill which shows two items bought by Puan Anita Quantity Item Price per Unit Price 4 metres Yellow Cloth RM4.90 RM19.60 3 metres Red Cloth TOTAL
24. 25. 5 X RM200 = RM10 100 Convert fraction to percentage Find the value of percentage
25. 26. BASIC FACTS FRACTIONS DECIMALS 0.25 0.5 0.75 PERCENTAGE 25% 50% 75% 1.0 100%
26. 27. <ul><li>TIME </li></ul><ul><li>LENGTH </li></ul><ul><li>MASS </li></ul><ul><li>VOLUME OF LIQUID </li></ul>MEASUREMENT
27. 28. HAVE YOU MEMORIZED ALL THE IMPORTANT FACTS…? TIME 1 minute 1 hour 1 day 1 week 1 year 1 year 1 leap year 1 decade 1 century 1 century = = = = = = = = = = 60 seconds 60 minutes 24 hours 7 days 52 weeks 12 months 366 days 10 years 10 decades 100 years 1 millenium = 1000 years = 100 decades
28. 29. HAVE YOU MEMORIZED ALL THE IMPORTANT FACTS…? 1 cm = 10 mm 1 m = 100 cm 1 m = 1 000 mm 1 km = 1 000 m Length Mass 1 kg = 1 000 g Volume of Liquid 1 l = 1 000 m l Money Profit = sales price - cost price Loss = cost price - sales price Average Total item values Numbers of items =
29. 30. 500 500 250 1 km = 1000 m 250 250 250 200 200 200 200 200
30. 31. 30 30 20 20 20 15 15 15 15 1 hour = 60 minutes
31. 32. The diagram shown a time line. Find the duration between the two given 10:30 11:30 p.m 12:30 1:30 2:30 3:30 4:30 5:30 6:30 7:30 a.m 1 hr 1 hr 1 hr 1 hr 1 hr 1 hr 1 hr 1 hr = 9 hours 1 hr 9. end start 10 : 30 p.m 7 : 30 a.m
32. 33. How many days are there in the month shown on the calendar? A 28 days C 30 days B 29 days D 31 days Name of the month MAY 31 days
33. 34. How many years are there in decade ? A 5 C 12 B 10 D 50 = 1 5 = 5 1 decade = 10 years
34. 35. The diagram shows the length of a plank. State the length of the plank in m. 5 . 5 cm 1 0 0 = 0. 5 5 m 5 . 5 cm
35. 36. Which of the following is the height of a year 6 student? A 1.3 cm B 13 cm C 130 cm D 1300 cm 130 cm
36. 37. Calculate the average length, in m, of the strings. 80 cm 1 . 8 5 m 1 . 8 5 0 + 2 4 0 1 . 0 5 m 1 8 5 1 2 . 9 0 0 Table 1 shows the length of strings needed to tie box Z and box Y. A 0.925 C 9.250 B 1.850 D 11.40 0 . 8 0 m 0 5 1 0 0 0.925 Box Length of string Z 1.05 m Y 80 cm 0 . 8 m =
37. 38. The diagram shows the mass of a cabbage . What is the mass of the cabbage ? A 1 kg 300 g C 1 kg 750 g B 1 kg 500 g D 1 kg 800 g 1 kg 250 g 250 g 250 g 750 g 1000 g + 1750 g = = 1kg 750 g =
38. 39. Step 1: i) Convert 52 kg 600 g to kg. 1 kg = 1000 g 600 g = 600 ÷ 1000 = 0.6 kg 52 kg 600 g = 52 kg + 0.6 kg = 52.6 kg The table shows the masses of three pupils. Find the total mass in kg . Step 2: i i) Find the total mass. 40.8 kg 52.6 kg + 0 47.0 kg 140.4 kg Kim Haris Mohan 40.8 kg 52 kg 600 g 47 kg
39. 40. Convert into table 140400 g = 140 kg 400 g = 140.4 00 kg . kg km l g m m l 1 1 40 52 47 8 6 0 0 140 4 0 0
40. 41. Which of the following is the suitable dose of cough syrup that should be given to an adult patient? A 1.5 mℓ B 15 mℓ C 150 mℓ D 1500 mℓ 15 mℓ
41. 42. The diagram shows the volume of fresh milk and apple juice in two containers a) the volume of the fresh milk is ________ b) the volume of apple juice is __________
42. 43. The diagram shows the volume of fresh milk and apple juice in two containers. a) the volume of the fresh milk is ________ 1 ℓ 2 ℓ half 2 ℓ + = 500 mℓ = 2 ℓ 500 mℓ 2 ℓ 500 mℓ = 2 . 5 ℓ ℓ or 2 ℓ 500 mℓ + or
43. 44. The diagram shows the volume of fresh milk and apple juice in two containers. 1 ℓ 3 ℓ b) the volume of apple juice is __________ 2 ℓ 5 ℓ 4 ℓ 5 ℓ or 5000 mℓ
44. 45. The table shows the volume of four types of canned drinks Which two types of canned drinks have a total volume of 2.75 l ? Try and error W + X = 2.73 l Y + Z = 2.92 l W + Y = 2.90 l X + Z = 2.75 l Answer = D = 1.480 l = 1.250 l = 1.420 l = 1.500 l 1.480 l + 1.250 l = 1.420 l + 1.500 l = 1.480 l + 1.420 l = 1.250 l + 1.500 l = Drink Volume W 1 l 480 m l X 1 l 250 m l Y 1 l 420 m l Z 1 l 500 m l
45. 46. Choosing The Operation Working Backwards Using Logic Guessing And Checking Make a table Chart/ systematic Identifying patterns and sequences Finding Facts Draw a diagram Problem Solving Strategies
46. 47. Ena takes 25 minutes to wrap a gift. Find the total time needed, in hours and minutes, to wrap 7 similar gifts. <ul><li>Solution </li></ul><ul><li>Steps: </li></ul><ul><li>25 minutes x 7 = 175 minutes </li></ul>ii ) 1 hour = 60 minutes 175 minutes = 175 ÷ 60 = 2 hours 55 minutes
47. 48. The diagram shows a road map. Jamal cycled from his house to the mosque and then to the library. Find the distance, in km, he has cycled. House to mosque + Mosque to library House to mosque to library = + = = = = =
48. 49. The total mass of 9 similar packets of sugar is 9.81 kg. What is the mass, in g, of each packet of sugar ? A 1 900 C 1 009 B 1 090 D 109 9 packets of sugar = 9.81 kg. 1 packet of sugar = 9.81  9 = 1.09kg = 1090 g
49. 50. What is the average of 320 m l and 1.65 l ? A 941 l C 0.962 l B 950 l D 0.985 l 1. 9 7 l + 1 . 9 7 l 2 1 8 1 . 320 m l = 0.32 l 0 . 3 2 l 1 . 6 5 l 0 9 7 8 1 6 1 0 0 1 0 5 l 0
50. 51. A jug of juice contains 300 m l of water and 5 m l of syrup cordial. How much syrup cordial needed to be mixed with 6 ℓ of water to have the same taste ? A 0.1 C 100 B 4 D 1 200 300 m ℓ = 5 mℓ × 20 = × 20 6000 mℓ = 100 mℓ 6 ℓ = 6000 mℓ 6000 ÷ 300 = 20
51. 53. 2D & 3D Shape
52. 54. Diagram 3 shows a piece of cylindrical wood. The wood is cut into three parts. How many flat faces are there altogether? 2D & 3D Shape
53. 55. Diagram 2 shows a number of rectangular cards, P and a number of square card, Q. Which of the following combinations of cards can form a box in the shape of cuboid? A 1 piece of P and 5 piece of Q B 2 pieces of P and 4 piece of Q C 3 pieces of P and 3 piece of Q D 4 pieces of P and 2 piece of Q P Q 4 cm 4 cm 8 cm 2D & 3D Shape
54. 56. A solid has 6 flat surfaces and the following characteristics; 2 square surfaces 4 rectangular surfaces 8 vertices What is the name of the solid? A Cuboid B Cube C Pyramid D Cylinder 2D & 3D Shape
55. 57. The diagram consists of several squares of equal size. Find the perimeter of the shaded area. 2D & 3D Shape
56. 58. Diagram below shows a square UWXY and a rectangle JKLM. JYXK is a straight line. Find the perimeter, in cm, of the whole diagram. 2D & 3D Shape
57. 59. 2D & 3D Shape
58. 61. Diagram below shows two squares, PQRS and SEFG Find the area, in cm 2 , of the shaded region
59. 62. Calculate the area, in cm 2 , of the shaded region Diagram below shows a combination of a rectangle EFGH and a square EMHN. 2D & 3D Shape
60. 63. 2D & 3D Shape
61. 64. 2D & 3D Shape
62. 65. 2D & 3D Shape
63. 66. 2D & 3D Shape
64. 67. 2D & 3D Shape
65. 68. In diagram below, triangle X, P, Q, R and S are drawn on squares of equal size. Which triangle has the same characteristic as X ? 2D & 3D Shape
66. 69. 2D & 3D Shape
67. 70. 2D & 3D Shape
68. 71. Data Handling
69. 75. Determine the frequency, mode, range, average, maximum and minimum value from a pie chart,
70. 76. The Owners of 8 Dolls
71. 77. Frequency :
72. 78. Range : Maximum - Minimum Maximum Minimum Range : 3 - 1 = 2
73. 79. Mode : Most popular or frequent value What is the most common number of dolls collected ?
74. 80. Average :
75. 81. Study the pie chart and answer the following question.
76. 82. Study the pie chart and answer the following question.
77. 83. Study the pie chart and answer the following question.
78. 84. QUESTIONS ??????? ARE WELCOME
79. 85. SEKIAN, TERIMA KASIH. SEMOGA BERJAYA....!!!