Mathematics Homework Activities - CBC Grade 4

QUESTIONS

NUMBERS
Exercise 1

a).Whole numbers

1. Use an abacus to represent the place value of the digits in the following numbers
   1. 2346
   2. 7049
2. A tank contains 29648 litres of water. How many litres of water are represented by digit 6?
3. Write the numbers below in word
   1. 999
   2. 985
4. Write the largest number formed by the digit 2, 9 and 7 in words
5. George used the symbol 6, 8 and 5 to form 3 digit numbers. Write the smallest number that he formed in words.
6. Arrange the following numbers from the largest to the smallest 618, 186, 816, 168, 861
7. Round off 599 to the nearest ten.
8. List all the factors of 48
9. Write the next 3 multiples of 7 after 28.
10. How many odd members are there between 13 and 29?
11. Work out 9 minus 2 and give your answer in Roman numerals.
12. Write the missing numbers to complete the pattern
    5, 9, 13, ........... , ......... ,25, 29

Exercise 2
Addition and subtraction of whole numbers

1. Work out
   1. 2786 + 235 = 
   2. 8476 + 651 =
2. Subtract
   1. 3901 - 846 =
   2. 8275 - 999 =
3. The schools were supplied with text books. School Y received 5305 books while school Z received 2007 books. How many text books altogether did the two schools receive?
4. A farmer harvested 642 bags of maize and 1526 bags of beans. How many bags altogether did the farmer harvest?
5. In a certain primary school, there were 1080 learners. If 609 are girls, how many boys are in that school?
6. A Meeting was attended by 852 men and 1436 women. Work out the sum of the people who attended the meeting by rounding off each number to the nearest 10
7. Find the missing numbers
   1. 800 + ................. = 1800
   2. 1100 + ................ = 9500

Exercise 3
Multiplication and division of whole numbers

1. There are 36 match sticks in a match box. How many match sticks are there in ten such match boxes?
2. There are 48 learners in each class in a certain school. How many learners are there in 8 classes altogether?
3. A matatu carries 38 passengers in one trip. How many passengers are carried in 64 such trips?
4. Work out
   1.   98
      ×47
            
   2. 84 ÷ 7 =
5. Mohamed had 73 mangoes. He put them in baskets each holding 6 mangoes
   1. How many baskets did he fill?
   2. How many mangoes remained?
6. 92 sweets were shared among 7 children.
   1. How many sweets did each child get?
   2. How many sweets remained?
7. Kim brought 24 boxes of tiles each containing 36 tiles. How many tiles altogether did he buy?

FRACTIONS
Exercise 4

1. What fractions of the figure is shaded?
   1. 
   2. 
2. What fraction of the group is unshaped?
   1. 
3. Write the denominator in the following fractions
   1. ²/₉
   2. ⁴/₉
4. In a birthday party, Mutunga divided the cake into 6 equal parts. He ate two of the parts.
   What fraction of the cake did Mutunga eat?
5. Convert 3⁵/₆ into improper fractions
6. Change ¹⁷/₄ into a mixed fraction
7. Shade ⁷/₁₀ in the diagram below
   
8. The list given shows some fractions
   ³/₅, ¹²/₇, 4³/₈, ⁸/₁₁, ¹⁸/₁₃, 2³/₁₇
   1. The proper fractions are?
   2. Theimproper fractions are?
   3. Mixed fractions are?

DECIMALS
Exercise 5

1. Write the shaded part as a decimal
   
2. Shade 0.6 in the diagram
   
3. Write the following fractions as decimals
   1. 0.05
   2. 0.5
   3. 0.43
4. Write the following decimals as fractions
5. What is the place value of digit 8 in the number 5.38?
6. Write seven hundredths as a decimal
7. Arrange the decimals from the smallest to the largest
   1. 1.3, 3.1,0.9, 0.3, 2.4
   2. 0.54, 0.31, 0.72, 1.2
8. Which is the bigger number in each of the pairs below?
   1. 0.8, 0.79
   2. 4.37, 4.73

MEASUREMENT
Exercise 6

1. Which units would you use to measure?
   1. Length of your classroom ..............................
   2. Length of your Math's Exercise book ...............................
   3. Length of your Chalk box .........................
   4. Length of your knife ...............................
2. Convert the following into metres
   1. 400cm
   2. 250cm
3. Convert 375cm into metres and centimetres
4. Convert 7m 45cm into centimetres
5. Work out
   1.   m   cm
       18   70
      + 6   30
                   
   2.    m   cm
         41  85
      + 35  30
                   
   3.   m   cm
        25  55
      +12  45
                  
6. Subtract
   1.   m  cm
        12  40
      +11  68
                  
   2.   m  cm
        32 10
      +20 99
                 
7. A rope has a length of 8cm 20cm. If it was cut into two pieces. If one piece is 5m 35cm, what was the length of the other piece?
8. Multiply
   1. 4m 24 cm by 7 =
   2. 8m 32cm by 4 =
9. A metallic rod 32m 2cm long was cut into 5 equal pieces. How long was each piece?
10. Divide 44m 16cm by 3 = 

PERIMETER
Exercise 7

1. Work out the perimeter of each shape below?
   1. 
   2. 
   3. 
   4. 
2. An athlete ran around the field below two times. What distance did he cover?
   
3. Calculate the perimeter in metres
   
   Area
4. Calculate the area in square units
   1. 
   2. 
   3. 
5. Calculate the area of the figures below
   1. 
   2. 
   3. 
6. The area of a rectangle is 90cm². If its length is 15cm, what is its width?

MASS
Exercise 8

1. When 1 kg of meat is divided into 2 equal masses, each piece of meat has a mass of.....................kg
2. How many half kg masses are there in 4kg?
3. How many quarter kg packets can be packed from 6kg?
4. Complete the statements below
   1. 1kg = .............................. half kg
            =  ............................. quarter kg
   2. ¹/₂ kg = ............................ quarter kg
5. A shopkeeper had 12 half kg packets of sugar. How many kg of sugar did he have?
6. How many kg packets can be mad efrom 16 quarter kg packets?
7. A wedding cake whose mass was 2kg, was cut into four equal parts. What was the mass of each piece of cake?

Exercise 9
Addition and subtractions

1. Work out
   1. 132kg + 84kg = 
   2. 536kg + 729kg = 
   3.     87kg
      + 45kg
                
2. Gitonga bought 5413kg of maize in January. In February, he bought 899kg of maize. How many kg of maize altogether did he buy?
3. Joshua bought 527kg of beans. Mutua bought 408kg of beans. How many kilograms of beans did they buy altogether?
4. Subtract 328kg from 1903kg
5. Work out
   2735kg
   -786kg
             
6. A butcher bought 557kg of meat. He sold 198kg to his customers. How many kilograms of meat remained?
7. A teacher had 224 sweets. He gave out 170kg to his learners. How many sweets remained?

Exercise 10
Volume and Capacity

1. Name the figures drawn below
   1. 
   2. 
2. 
   1. How many layers are in the stack shown?
   2. How many unit cubes are in each layer?
3. Work out the volume of the cuboids represented below
   1. 
   2. 
4. How many half litre cups can fill the 5 litre jug?
   
5. Two quarter litres are equal to .......................... litres
6. One litre has ................ ¹/₄ litres
7. 3 litres = ................. quarter litres
8. A drum has 247 litres. Another drum has 169 litres of water. How many litres of water are in the two drums altogether?
9. A tank had 2084 litres. A familyu used 1253 litres. How many litres remained?
10. Work out
    1. 603 litres
       -58 litres
                     
    2.   1924 litres
       +4094 litres
                          
11. Complete the statement
    

Time

1. The clock face below shows time in the morning
   
   What is the time in am/pm?
2. What time in am/pm is it?
   1. 4 hours after midnight
   2. 2 hrs 20 minutes after midday
   3. 30 minutes after-midnight
3. Draw a clock face and show
   

   a) 6.25	b) 5 minutes to 3 o'clock

4. Kariuki arrived home at the time shown in the evening
   
   What time in am/pm did he arrive home?
5. At what time of the day is the shadow shortest?
6. Convert 3hr 15 minutes into minutes
7. Covert 135 minutes into hours and minutes
8. How many hours are there in 480 minutes
9. A football match took 115 minutes. How long did the match take in hours and minutes?
10. Convert 14 days into hours
11. How many days are there in 144 hours?
12. Convert 42 days into wevIcs and days
13. A house wAs cons tructed into 84 dayss. How long was this period in weeks?
14. Work out
    1.   Hrs min
         6    45
       +4    15
                   
    2.   Hrs min
          9     18
       -  8     30
                     
    3. weeks days
           5        6
       +  2        4
                       
15. Kipchoge took 2hrs 25 minutes to finish a race. Jelimo took 2 hours 48 minutes to finish the same race. How much longer did Jelimo take to finish the race?'

Money

1. Convert sh.9 into cents
2. convert 685 cents into and cents
3. Jane bought a rriatch or 4.50 shillings. How many cents did the match box cost?
4. How many 5 shillings coins are in Sh.80?
5. A shopkeeper had the following coins in his cash box
   • 3 coins of sh. 10 each
   • 2 coins of sh. 5 each
   • 5 coins of sh. 20 each
     How much money altogether did he have in his cash box?
6. Leah bought a packet of Unga at Sh.120, 2 loaves of bread each, costing Sh.50 and a match box for Sh.5.
   1. How much money did she spend?
   2. How much balance did she get if she gave the shopkeeper Sh.500?
7. Mary bought 2kg meat for sh. 835. How much balance did she get from sh. 1000?
8.                      
   1.   sh  cents
        85    20
      +17    80
                    
   2.  sh  cents
      123  10
      -74   95
                  
9. John had Sh.146.90 cents while Onyango had Sh.308.70 cents. How much more money did Onyango have than John?

Geometry

1. Complete by writing clockwise or anticlockwise
   1. Turning the key to close a door .......................................
   2. Opening a tap .......................................
   3. Closing a lid of a bottle .......................................
   4. Movement of the hand of a clock face .......................................
2. How many half turns can be made to make a full turn?
3. Complete the statement
   1. An angle less than a right angle is called .......................................
   2. An angle more than a right angle but less than two right angles is called .......................................
4. Name the angle shown below
   
5. Which angle is commonly found at the corners of a door or a text book? .......................................
6. A rectangle has .......................................lines of symmetry
7. A square has......................................lines of symmetry
8. A triangle has......................................angles
9. Complete the pattern
   

Data handling

1. The following are marks scored by 20 grade 4 learners in a Mathematics quiz.
   78, 74, 86, 88, 78, 84, 74, 78, 88, 86, 74, 88, 86, 78, 74, 84, 74, 88, 86, 88
   Record the data in the table below
   

   Marks	Tally marks	Number of pupils
   74
   78
   84
   86
   88

2. The table shows the number of vehicles observed by learners from masomo primary school during a school tour
   Copy and complete the table
   

   Vehicles	Tally marks	Quantity
   Taxis	IIII    IIII   III
   Lorries		34
   Saloon car	IIII    IIII  IIII  I
   Min buses		27
   buses	IIII   IIII   IIII   IIII  I

ALGEBRA

1. A farmer has 8 goats, Y sheep and Z hens. How many animals altogether does he have?
2. There are 3g girls and 2g boys in a cinema hall. How many people altogether are in the cinema hall?
3. A farmer collected 12C eggs then sold 7C egg remained?
4. A book seller has 5d books. He sold 3r books. How many books remained?
5. In a class there are 8x pupils.Each pupil was given 3 sweets. How many sweets altogether were given out?
6. Maria bought 3 shirts from the supermarket. If each shirt was sold at 6p shillings, how much did she pay for the shirts, altogether?
7. Simplify the expressions below
   1. 2w + 5w + 4w = 
   2. 7x - 3x - x =
   3. 8q + .4q + 2q =
8. George had 10 b story books, 12 y exercise books and 8 x maths text books. How many books in total did he have?
9. Karim had Sh.15d. He spent Sh.9d to buy toys. How many shillings did he remain with?
10. In a basket there are 6t lemons, 8x mangoes and 4y oranges. How many fruits altogether are in the basket?

MARKING SCHEME

Exercise 1

1.                             
   1. 
   2. 
2. Hundreds
3.                
   1. Nine Hundred and ninety nine
   2. Nine Hundred and eighty five
4. 972
5. 562
6. 861, 816, 618, 186, 166
7. 600
8. 1,2,3,4,6,8,12,16,24
9. 28,35,42,49
10. 13,15,17,19,21,23,25,27 
11. Vii
12. 17, 21

Exercise 2 

1.                      
   1. 3021
   2. 9127
2.                  
   1. 3055
   2. 7276
3. 7312
4. 2168
5. 471
6. 2290
7.                          
   1. 1000
   2. 8400

Exercise 3

1. 360
2. 384
3. 2432
4.                    
   1. 4606
   2. 12
   3. 17 Rem 1
5.                    
   1. 12
   2. 1 Mango
6.                      
   1. 13
   2. 1sweet
7. 864

Exercise 4

1.                            
   1. 5/8
   2. 4/5 or
2. 2/5 
3.                      
   1. 9
   2. 9
4. 2/6 or 1/3
5. 23/6
6. 41/4
7. Shading 7 boxes
8.                
   1. 3/5, 8/11
   2. 12/7, 18/13
   3. 43/8 23/17

Exercise 5

1. 0.375
2. Shading
3.              
   1. 0.9
   2. 0.07.
   3. 0.59
4.                      
   1. 5/100
   2. 5/10
   3. 43/100
5. Hundredth
6. 0.07 
7.                  
   1. 0.3, 0.9, 1.3, 3.1, 24
   2. 0.31, 0.54, 0.72, 1.2 8.
8.                  
   1. 0.8 
   2. 4.73

Exercise 6

1.                  
   1. metres
   2. Centimetres
   3. Centimetres
   4. Centimetres
2.                  
   1. 4 metres
   2. 2.5m
3.                  
   1. 3 metres 75 cm
4. 745cm 
5.                
   1. 25m 00cm
   2. 77m 15cm
   3. 38m 00cm 
6.                        
   1. 24m 08cm
   2. 53m 09 cm
7. 2.85
8.                  
   1. 29.68
   2. 33.22
9. 6.44
10. 14.72

Exercise 7

1.                  
   1. 46cm
   2. 140cm
   3. 106cm
   4. 143cm
2. 586cm
3. 2 metres
4.                      
   1. 4 units
   2. 48 units
   3. 64 units
5.                            
   1. 216cm²
   2. 250 cm²
   3. 1125cm²
6. 6cm

Exercise 8

1. 0.5 
2. 8
3. 24
4.                
   1. 2, 4
   2. 2 5.
5. 6.
6. 4
7. ¹/₂ kg

Exercise 9

1.              
   1. 216
   2. 1265
   3. 132
2. 6312kg
3. 935kg
4. 1575
5. 1949
6. 359
7. 54

Exercise 10

1.                  
   1. Cube
   2. Cuboid
2.            
   1. 4
   2. 24
3.                  
   1. 108 cubes
   2. 96 cubes
4. 10
5. ¹/₂
6. 4
7. 12
8. 416 litres 
9. 831
10.                      
    1. 545
    2. 6018
11. 1 Litre

Time

1. 10.37am 
2.                  
   1. am 
   2. pm 
   3. am
3. 
   
   
4. 6.20pm
5. Noon
6. 195 mins
7. 2 hrs 15 min
8. 8 hours
9. 1 hour 55 min 
10. 336 hrs 
11. 6 days 
12. 6 weeks 
13. 12 weeks
14.                    
    1. 11 hrs 00min
    2. 48 min
    3. 8Wks 3days
15. 23 min

Money

1. 900 cents
2. 6 sh. 25 cts
3. 450 cts
4. 16
5. 140 Shs
6.          
   1. 225
   2. 275
7. 165 Shs 
8.                
   1. 103Shs 00cts
   2. 48Shs 15 cts
9. 161.80 cts

Geometry

1.                
   1. Anti-clockwise
   2. Clockwise 
   3. Clockwise
   4. Clockwise
2. 2
3.                      
   1. acute
   2. Obtuse 
4.                    
   1. Obtuse
   2. Acute
   3. Right angle
   4. Reflect angle
5. Right angle
6. 2
7. 4
8. 3

Data Handling

ALGEBRA

1. A farmer has 8 goats, Y sheep and Z hens. How many animals altogether does he have? 8 + Y + Z = 8YZ
2. There are 3g girls and 2g boys in a cinema hall. How many people altogether are in the cinema hall?  3g + 2g = 5g
3. A farmer collected 12C eggs then sold 7C egg remained?   12c - 7c = 5c
4. A book seller has 5d books. He sold 3r books. How many books remained?  5d - 3r
5. In a class there are 8x pupils.Each pupil was given 3 sweets. How many sweets altogether were given out?  24x
6. Maria bought 3 shirts from the supermarket. If each shirt was sold at 6p shillings, how much did she pay for the shirts, altogether?  18p
7. Simplify the expressions below
   1. 2w + 5w + 4w =  11u
   2. 7x - 3x - x = 3x
   3. 8q + .4q + 2q = 14q
8. George had 10 b story books, 12 y exercise books and 8 x maths text books. How many books in total did he have?  10b + 12y + 8x
9. Karim had Sh.15d. He spent Sh.9d to buy toys. How many shillings did he remain with?    6d
10. In a basket there are 6t lemons, 8x mangoes and 4y oranges. How many fruits altogether are in the basket?  6t + 8x + 4y