GPLMS Revision Programme GRADE 4 Booklet


 Mavis Perry
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1 GPLMS Revision Programme GRADE 4 Booklet Learner s name: School name:
2
3 Day Read carefully: a) The place or position of a digit in a number gives the value of that digit. b) In the number 4237, 4, 2, 3 and 7 are called digits. 4 is the thousands digit, 2 is the hundreds digit, 3 is the tens digit and 7 is the units digit. c) In the number 4237, the value of digit 4 is 4000, the value of digit 2 is 200, the value of digit 3 is 30 and the value of digit 7 is 7. d) 4237 is read four thousand twohundred and thirtyseven. e) 4237 written in expanded form is or f) 4237 contains 4237 units, 423 tens, 42 hundreds or 4 thousands. 2. Write down the number name of each of the following numbers. a) 781 b) 2964 c) Write each of the expanded numbers in the short form. a) = b) = c) = 4. Write in the expanded form. Example: 5843 = 5 thousands + 8 hundreds + 4 tens + 3 units or or a) 628 = or or Page 1 of 30
4 b) 7159 = or or 5. Complete: a) The units digit in the number 5826 is _. b) The tens digit in the number 8658 is _. c) The hundreds digit in the number 2856 is _. d) The thousands digit in the number 6285 is _. 6. Complete: a) The value of digit 6 in the number 4562 is. b) The value of digit 4 in the number 7421 is. c) The value of digit 9 in the number 9743 is. 7. Complete: a) In 4000 there are thousands or hundreds or tens. b) In 2637 there are thousands or hundreds or units. 8. Write down the number which is made up of a) Two thousands, seven hundreds and eightythree units. b) Three thousands, twentyfive hundreds and six units. c) Five thousands, four hundreds, six tens and thirtyone units. Page 2 of 30
5 Day Write down the numbers from the smallest to the biggest. a) b) c) Write down the numbers from the biggest to the smallest. a) b) c) Remember the symbol > is read is greater than and the symbol < is read is smaller than. 4. Write > or < between each pair of numbers to make correct sentences. Example: 7643 > 7463 a) b) c) d) e) f) g) Page 3 of 30
6 5. Write down the whole number which is between a) 2469 and 2471 b) 5311 and 5313 c) 6299 and Complete: a) The number that is 10 more than 179 is b) The number that is 10 less than 179 is c) The number that is 10 more than 1498 is d) The number that is 10 less than 1498 is e) The number that is 100 more than 2362 is f) The number that is 100 less than 2362 is g) The number that is 100 more than 5897 is h) The number that is 100 less than 5897 is i) The number that is 100 more than 4795 is j) The number that is 100 less than 4795 is 7. Write down the next three numbers in each sequence. a) 3456; 3457; 3458;. b) 7434; 7433; 7432;. c) 5647; 5657; 5667;. d) 2335; 2325; 2315;. e) 4583; 4683; 4783;. f) 6419; 6319; 6219;. Page 4 of 30
7 Day Write down the answers as quickly as you can. a) = = = = b) = = = = c) = = = = e) = f) = g) = = = = = = = i) = j) = k) = = = = = = = d) = = = = h) = = = l) = = = 2. Write down the answers of the following addition sums. a) = = = b) = = = c) = = = e) = f) = g) = = = = = = = d) = = = h) = = = 3. Fill up tens to complete. Example: = 29 because = 20 a) = b) = = = = = c) = = = Page 5 of 30
8 4. Write down the missing numbers on each number line. a) b) c) d) e) f) g) h) i) j) k) l) Page 6 of 30
9 m) n) Day Complete: a) = b) = c) = d) = = = = = = = = = = = = = 2. Complete each flowdiagram. Input Rule Output Input Rule Output a) 9 b) Input Rule Output Input Rule Output c) 85 d) Page 7 of 30
10 3. Double each of the given numbers by using repeated addition. Example: Double 26 = a) Double 47 = = = = = = 52 = b) Double 345 = = _ = _ = _ c) Double 2681 = = _ = _ = _ 4. Write down the next 3 numbers in each sequence. a) 2764; 2766; 2768;. b) 5346; 5344; 5342;. c) 3645; 3648; 3651;. d) 4968; 4965; 4962;. e) 1745; 1750; 1755;. f) 6325; 6320; 6315;. g) 1838; 1842; 1846;. h) 9524; 9520; 9516;. Page 8 of 30
11 Day Complete each numberchain a) b) c) d) e) f) g) h) Write down the next 3 numbers in each sequence. a) 1570; 1580; 1590;. b) 3440; 3430; 3420;. c) 2540; 2560; 2580;. d) 6380; 6360; 6340;. e) 4250; 4200; 4150;. f) 8050; 8000; 7950;. g) 3700; 3800; 3900;. h) 8800; 8700; 8600;. i) 1450; 1475; 1500;. j) 1775; 1750; 1725;. Page 9 of 30
12 3. Addition of 3digit and/or 4digit numbers Breakdown both numbers and then add units, tens, hundreds and thousands. Example: or = 15 = and = 100 = and = 500 = means = 615 = 615 a) or = b) or c) or = 70 + = = = d) or Page 10 of 30
13 Day Use the verticalcolumn method to add the 3digit numbers. The calculation is the same as in the breakingdown method, but you will write the units digits under one another, the tens digits under one another and the hundreds digits under one another. Examples: 1 1 a) Step 1: = 7 b) Step 1: = 13 = 1T + 3U Step 2: = Step 2: = 150 = 1H + 5T Step 3: = Step 3: = 800 c) 257 d) 473 e) 469 f) g) 777 h) 655 i) 385 j) Use the verticalcolumn method to add the given numbers. a) 5641 b) 3158 c) 3371 d) e) 4876 f) 1738 g) 4444 h) i) 5878 j) 4756 k) 2652 l) Page 11 of 30
14 Day Use the above number line to round off each of the given numbers to the nearest 10. Examples: a) 14 rounded off to the nearest 10 is 10. (14 is closer to 10 than to 20) b) 17 rounded off to the nearest 10 is 20. (17 is closer to 20 than to 10) c) 15 rounded off to the nearest 10 is 20. (15 is equally far from 10 and 20) d) 28 rounded off to the nearest 10 is. (28 is closer to than to ) e) 23 rounded off to the nearest 10 is. (23 is closer to than to ) f) 25 rounded off to the nearest 10 is. (25 is ) A 240 B C 250 a) A represents the number and is closer to than to b) The number, represented by A, rounded off to the nearest 10 is c) The number, represented by B, rounded off to the nearest 10 is d) The number, represented by C, rounded off to the nearest 10 is A B 1500 C 1600 a) The number, represented by A, rounded off to the nearest 100 is b) The number, represented by B, rounded off to the nearest 100 is c) The number, represented by C, rounded off to the nearest 100 is A 4000 B C 5000 a) The numbers represented by A, B and C are b) The number, represented by A, rounded off to the nearest 1000 is c) The number, represented by B, rounded off to the nearest 1000 is d) The number, represented by C, rounded off to the nearest 1000 is Page 12 of 30
15 5. Number rounded off to Number the nearest 10 the nearest 100 the nearest 1000 a) 653 b) 3491 c) 5538 d) Estimate the answers by rounding off each number to the nearest 10, 100 or The symbol reads is approximately equal to. Example: a) to the nearest 10. b) to the nearest 100. c) to the nearest d) to the nearest 10. e) to the nearest 100. f) to the nearest 100. g) to the nearest Day Write down the answers as quickly as you can. a) 103 = 105 = 108 = 109 = b) 112 = 114 = 116 = 118 = c) 124 = 125 = 128 = 129 = e) 143 = f) 154 = g) 167 = 146 = 157 = 168 = 147 = 158 = 178 = 149 = 159 = 179 = d) 134 = 136 = 137 = 138 = h) 189 = = 199 = = Page 13 of 30
16 2. Calculate: a) = b) = c) = d) = = = = = = = = = 3. Calculate: a) 209 = b) 226 = c) 256 = d) = = 229 = 257 = = = = 259 = 289 = 4. Write down the answers as quickly as you can. a) = b) = = = = = c) = = = 5. Complete: a) 35 is 7 more than c) 58 is 9 more than e) 73 is 40 more than g) 163 is 70 more than b) d) f) h) 44 is 6 more than 87 is 20 more than 129 is 30 more than 212 is 50 more than 6. Write down the next 4 numbers in each sequence. a) 174 ; 173 ; 172 ; b) 174 ; 172 ; 170 ; c) 174 ; 171 ; 168 ; d) 265 ; 260 ; 255 ; e) 340 ; 330 ; 320 ; Page 14 of 30
17 7. Write down the next 3 numbers in each sequence. a) 900 ; 800 ; 700 ; b) 650 ; 600 ; 550 ; c) 380 ; 360 ; 340 ; d) 700 ; 680 ; 660 ; e) 400 ; 375 ; 350 ; f) 875 ; 850 ; 825 ; Day Breakdown both numbers, subtract the units from one another, the tens from one another and the hundreds from one another. To subtract 67 means to subtract 60 and then 7 or subtract 7 and then 60. Example: or or = = = = = 5 and = 30 and = 200 means = = = = = 235 Calculate the difference between the given numbers in 2 different ways. a) or b) or Page 15 of 30
18 2. Fill in the missing numbers to make correct sentences: a) 346 = or 346 = or 346 = b) 575 = or 575 = or 575 = c) 2869 = or or d) 4283 = or or Use the breakingdown method to calculate the difference between a) 782 and 367 b) 655 and 463 c) 2674 and 952 d) 3586 and 1854 a) or 12 7 = = and 70 = = and 700 = = means = = b) or 655 = = 463 = = = = = = c) 2674 = d) 3586 = 952 = 1854 = Page 16 of 30
19 Day Use the verticalcolumn method to subtract the smaller number from the bigger number in each of the following. Example: Step 1: We cannot subtract 8U from 6U Step 2: We write 46 as 3T + 16U Step 3: 16U 8U = 8U Step 4: 3T 2T = 1T Step 5: We cannot subtract 4H from 3H Step 6: We write 53H as 40H + 13H Step 7: 13H 4H = 9H and 4Th 2Th = 2Th Do you see that 5346 was actually written as ? a) b) c) d) e) f) g) h) Complete: a) = 22 means 22 9 = and = b) = 85 means = and = c) 178 = 9 means 9 + = 17 and 17 9 = d) = 72 means and 3. Check the answers in question 1(a) 1 (d) by doing an addition sum. a) b) c) d) Page 17 of 30
20 4) Use the verticalcolumn method to answer the following questions. a) Calculate the sum of 2593 and b) Calculate the difference between 2943 and 867. c) How much is 5476 more than 3295? a) b) c) Day Complete each of the following multiplication grids. What do you notice about row 2 and row 3 in a)  d)? a) b) c) d) e) Page 18 of 30
21 2. Complete: a) 3 10 = b) 7 10 = c) 2 20 = d) 2 30 = 4 10 = 8 10 = 3 20 = 3 30 = 5 10 = 9 10 = 4 20 = 2 40 = 6 10 = = 5 20 = 2 50 = 3. Write down the answers as quickly as you can. a) 10 2 = b) 10 3 = c) 10 4 = d) 10 5 = 9 2 = 9 3 = 9 4 = 9 5 = 8 2 = 8 3 = 8 4 = 8 5 = 7 2 = 7 3 = 7 4 = 7 5 = e) 5 2 = f) 7 2 = g) 4 3 = h) 3 4 = 5 4 = 7 4 = 8 3 = 6 4 = 6 2 = 8 2 = 4 5 = 3 3 = 6 4 = 8 4 = 8 5 = 6 3 = i) 7 1 = j) 4 4 = k) 9 3 = l) 10 2 = 8 2 = 5 5 = 8 4 = 9 5 = 5 3 = 3 3 = 7 5 = 8 3 = 6 5 = 2 2 = 6 2 = 7 4 = 4. a) Because 1 2 = 2, 2 2=4, 3 2=6, 4 2=8, 5 2=10 we say that 2,4,6,8 and 10 are the first 5 multiples of 2. b) Thus 12 is the fourth multiple of 3 and 35 is the seventh multiple of 5 or 35 is the fifth multiple of 7. c) Also, any multiple of 2 is called an even number. This means that whole numbers in which the units digit is 0,2,4,6, or 8 will be even numbers. d) Numbers in which the units digit is 1,3,5,7 or 9 are called odd numbers. Page 19 of 30
22 5. Write down the multiples of a) 3 between 12 and 27 b) 6 between 30 and 60 c) 7 between 42 and 77 d) 9 between 45 and Underline the even numbers and draw a circle around the odd numbers in the list below Day Complete: a) 8 6 = b) 4 9 = c) 3 7 = d) 9 7 = 5 9 = 8 8 = 7 8 = 8 5 = 9 8 = 7 5 = 9 5 = 7 7 = 6 7 = 9 6 = 6 6 = 9 8 = 2. Complete: Example: 4 30 = 4 3 tens = 12 tens = 120 Also = 2 tens 4 tens = 8 hundreds = 800. a) 2 10 = b) 3 30 = c) 6 10 = d) 8 40 = 2 20 = 4 20 = 6 30 = 7 30 = 3 20 = 5 20 = 7 20 = 9 50 = e) = f) = g) = h) = = = = = = = = = Page 20 of 30
23 3. Multiply the units digit by the multiplier and the tens digit by the multiplier. Example: 4 63 a) 5 38 Answer: 4 3 = 12 and 4 60 = 240 means 4 63 = 252 b) 7 67 c) Multiply by breakingdown the 2digit number. Example: 6 34 = 6 (30 + 4) = (6 30) + (6 4) a) 7 43 = 7 ( ) = = = = 204 = b) 8 56 = = = = c) 9 25 = = = = 5. Use the verticalcolumn method to calculate each answer. Example: +4 extra 10s Step 1: 6 7 = 42 = 4T + 2U Step 2: Write down 2U Step 3: 6 3T = 18T Step 4: 18T + 4T = 22T a) 31 7 Step 1: 7 1U = Step 2: 7 3T = b) 43 c) 29 d) 78 e) Page 21 of 30
24 6. Multiplication of a 2digit number by a 1digit number in one step. 2 extra tens Example: Calculate 4 46 Step 1: 4 6 units = 24 units = 2T + 4U = 184 Step 2: Write down 4 units Step 3: 4 4 tens = 16 tens + 2 tens = 18 tens a) 6 14 = b) 5 23 = c) 9 35 = d) 9 61 = e) 4 63 = f) 8 53 = g) 6 48 = h) 3 98 = 7. Double each of the given numbers. Example: Double 34 = 2 34 = 68 a) Double 42 = = b) Double 55 = = c) Double 124 = = d) Double 109 = = e) Double 146 = = Day Multiplication of any 2digit whole number by a multiple of 10. Example: Calculate Answer: or = 20 (30 + 7) = (20 30) + (20 7) = = Step 1: 0 37 = Step 2: 20 7 = 140 = 1H + 4T Step 3: Write down 4T Step 4: 2T 3T = 6H Step 5: 6H + 1H = 7H a) or 5 2 = 30 ( ) 3 0 = = = Page 22 of 30
25 b) or 6 3 = 7 0 = = = 2. Multiplication of any 2digit number by any 2digit number using the verticalcolumn method. Example: = = = = a) b) c) d) e) f) g) h) i) j) k) l) Page 23 of 30
26 Day Mark the shapes which have curved sides with a c and those which have straight sides with an s. a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) p) Page 24 of 30
27 2. Closed shapes with 3 or more straight sides are named according to their number of sides. Fill in the missing numbers or words in the table. a) Figure Number of sides Name b) 4 c) pentagon d) 4 e) 7 f) g) hexagon Page 25 of 30
28 3. Draw a neat straight line to link each of the given figures with its name. a) trapezium b) circle c) hexagon d) parallelogram e) semicircle f) kite Page 26 of 30
29 4. On the grid below, using a sharp pencil and a ruler you must draw a) a rectangle which is 6 units long and 3 units wide. b) a triangle in which 1 of the sides is 4 units long. Day A B C D Which of the above diagrams are symmetrical in shape? 2. Draw the other part of the shape to make a symmetrical figure. Page 27 of 30
30 3. Draw a line between the picture of each article and its matching shape. Page 28 of 30
31 4. A B C D Which of the above 3D shapes have flat surfaces that are a) rectangles? b) circles? c) triangles? 5. a b c d e f g h i j The above 10 figures are all 3D shapes. Complete: a) The 3D shape marked (b) is called a b) The 3D shape marked (d) is called a c) The 3D shape marked (h) is called a d) The 3D shape marked (i) is called a e) The 3D shape marked (j) is called a Page 29 of 30
32 6. Look at the figures in question 5 and then answer each of the questions. a) Which figures have the same shape as figure (c)? b) In which way are figures (d) and (j) alike? _ c) In which way is figure (g) different from figure (i)? _ 7. Draw the shapes you would need to make for example: a cube a) a cylinder b) a rectangular prism c) a squarebased pyramid Page 30 of 30
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