QUESTIONS
NUMBERS
Exercise 1
a).Whole numbers
 Use an abacus to represent the place value of the digits in the following numbers
 2346
 7049
 A tank contains 29648 litres of water. How many litres of water are represented by digit 6?
 Write the numbers below in word
 999
 985
 Write the largest number formed by the digit 2, 9 and 7 in words
 George used the symbol 6, 8 and 5 to form 3 digit numbers. Write the smallest number that he formed in words.
 Arrange the following numbers from the largest to the smallest 618, 186, 816, 168, 861
 Round off 599 to the nearest ten.
 List all the factors of 48
 Write the next 3 multiples of 7 after 28.
 How many odd members are there between 13 and 29?
 Work out 9 minus 2 and give your answer in Roman numerals.
 Write the missing numbers to complete the pattern
5, 9, 13, ........... , ......... ,25, 29
Exercise 2
Addition and subtraction of whole numbers
 Work out
 2786 + 235 =
 8476 + 651 =
 Subtract
 3901  846 =
 8275  999 =
 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?
 A farmer harvested 642 bags of maize and 1526 bags of beans. How many bags altogether did the farmer harvest?
 In a certain primary school, there were 1080 learners. If 609 are girls, how many boys are in that school?
 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
 Find the missing numbers
 800 + ................. = 1800
 1100 + ................ = 9500
Exercise 3
Multiplication and division of whole numbers
 There are 36 match sticks in a match box. How many match sticks are there in ten such match boxes?
 There are 48 learners in each class in a certain school. How many learners are there in 8 classes altogether?
 A matatu carries 38 passengers in one trip. How many passengers are carried in 64 such trips?
 Work out
 98
×47
 84 ÷ 7 =
 98
 Mohamed had 73 mangoes. He put them in baskets each holding 6 mangoes
 How many baskets did he fill?
 How many mangoes remained?
 92 sweets were shared among 7 children.
 How many sweets did each child get?
 How many sweets remained?
 Kim brought 24 boxes of tiles each containing 36 tiles. How many tiles altogether did he buy?
FRACTIONS
Exercise 4
 What fractions of the figure is shaded?
 What fraction of the group is unshaped?
 Write the denominator in the following fractions
 ^{2}/_{9}
 ^{4}/_{9}
 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?  Convert 3^{5}/_{6} into improper fractions
 Change ^{17}/_{4} into a mixed fraction
 Shade ^{7}/_{10} in the diagram below
 The list given shows some fractions
^{3}/_{5}, ^{12}/_{7}, 4^{3}/_{8}, ^{8}/_{11}, ^{18}/_{13}, 2^{3}/_{17} The proper fractions are?
 Theimproper fractions are?
 Mixed fractions are?
DECIMALS
Exercise 5
 Write the shaded part as a decimal
 Shade 0.6 in the diagram
 Write the following fractions as decimals
 0.05
 0.5
 0.43
 Write the following decimals as fractions
 What is the place value of digit 8 in the number 5.38?
 Write seven hundredths as a decimal
 Arrange the decimals from the smallest to the largest
 1.3, 3.1,0.9, 0.3, 2.4
 0.54, 0.31, 0.72, 1.2
 Which is the bigger number in each of the pairs below?
 0.8, 0.79
 4.37, 4.73
MEASUREMENT
Exercise 6
 Which units would you use to measure?
 Length of your classroom ..............................
 Length of your Math's Exercise book ...............................
 Length of your Chalk box .........................
 Length of your knife ...............................
 Convert the following into metres
 400cm
 250cm
 Convert 375cm into metres and centimetres
 Convert 7m 45cm into centimetres
 Work out
 m cm
18 70
+ 6 30
 m cm
41 85
+ 35 30
 m cm
25 55
+12 45
 m cm
 Subtract
 m cm
12 40
+11 68
 m cm
32 10
+20 99
 m cm
 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?
 Multiply
 4m 24 cm by 7 =
 8m 32cm by 4 =
 A metallic rod 32m 2cm long was cut into 5 equal pieces. How long was each piece?
 Divide 44m 16cm by 3 =
PERIMETER
Exercise 7
 Work out the perimeter of each shape below?
 An athlete ran around the field below two times. What distance did he cover?
 Calculate the perimeter in metres
Area  Calculate the area in square units
 Calculate the area of the figures below
 The area of a rectangle is 90cm^{2}. If its length is 15cm, what is its width?
MASS
Exercise 8
 When 1 kg of meat is divided into 2 equal masses, each piece of meat has a mass of.....................kg
 How many half kg masses are there in 4kg?
 How many quarter kg packets can be packed from 6kg?
 Complete the statements below
 1kg = .............................. half kg
= ............................. quarter kg  ^{1}/_{2} kg = ............................ quarter kg
 1kg = .............................. half kg
 A shopkeeper had 12 half kg packets of sugar. How many kg of sugar did he have?
 How many kg packets can be mad efrom 16 quarter kg packets?
 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
 Work out
 132kg + 84kg =
 536kg + 729kg =
 87kg
+ 45kg
 Gitonga bought 5413kg of maize in January. In February, he bought 899kg of maize. How many kg of maize altogether did he buy?
 Joshua bought 527kg of beans. Mutua bought 408kg of beans. How many kilograms of beans did they buy altogether?
 Subtract 328kg from 1903kg
 Work out
2735kg
786kg
 A butcher bought 557kg of meat. He sold 198kg to his customers. How many kilograms of meat remained?
 A teacher had 224 sweets. He gave out 170kg to his learners. How many sweets remained?
Exercise 10
Volume and Capacity
 Name the figures drawn below
 How many layers are in the stack shown?
 How many unit cubes are in each layer?
 Work out the volume of the cuboids represented below
 How many half litre cups can fill the 5 litre jug?
 Two quarter litres are equal to .......................... litres
 One litre has ................ ^{1}/_{4} litres
 3 litres = ................. quarter litres
 A drum has 247 litres. Another drum has 169 litres of water. How many litres of water are in the two drums altogether?
 A tank had 2084 litres. A familyu used 1253 litres. How many litres remained?
 Work out
 603 litres
58 litres
 1924 litres
+4094 litres
 603 litres
 Complete the statement
Time
 The clock face below shows time in the morning
What is the time in am/pm?  What time in am/pm is it?
 4 hours after midnight
 2 hrs 20 minutes after midday
 30 minutes aftermidnight
 Draw a clock face and show
a) 6.25 b) 5 minutes to 3 o'clock  Kariuki arrived home at the time shown in the evening
What time in am/pm did he arrive home?  At what time of the day is the shadow shortest?
 Convert 3hr 15 minutes into minutes
 Covert 135 minutes into hours and minutes
 How many hours are there in 480 minutes
 A football match took 115 minutes. How long did the match take in hours and minutes?
 Convert 14 days into hours
 How many days are there in 144 hours?
 Convert 42 days into wevIcs and days
 A house wAs cons tructed into 84 dayss. How long was this period in weeks?
 Work out
 Hrs min
6 45
+4 15
 Hrs min
9 18
 8 30
 weeks days
5 6
+ 2 4
 Hrs min
 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
 Convert sh.9 into cents
 convert 685 cents into and cents
 Jane bought a rriatch or 4.50 shillings. How many cents did the match box cost?
 How many 5 shillings coins are in Sh.80?
 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?
 Leah bought a packet of Unga at Sh.120, 2 loaves of bread each, costing Sh.50 and a match box for Sh.5.
 How much money did she spend?
 How much balance did she get if she gave the shopkeeper Sh.500?
 Mary bought 2kg meat for sh. 835. How much balance did she get from sh. 1000?

 sh cents
85 20
+17 80
 sh cents
123 10
74 95
 sh cents
 John had Sh.146.90 cents while Onyango had Sh.308.70 cents. How much more money did Onyango have than John?
Geometry
 Complete by writing clockwise or anticlockwise
 Turning the key to close a door .......................................
 Opening a tap .......................................
 Closing a lid of a bottle .......................................
 Movement of the hand of a clock face .......................................
 How many half turns can be made to make a full turn?
 Complete the statement
 An angle less than a right angle is called .......................................
 An angle more than a right angle but less than two right angles is called .......................................
 Name the angle shown below
 Which angle is commonly found at the corners of a door or a text book? .......................................
 A rectangle has .......................................lines of symmetry
 A square has......................................lines of symmetry
 A triangle has......................................angles
 Complete the pattern
Data handling
 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  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
 A farmer has 8 goats, Y sheep and Z hens. How many animals altogether does he have?
 There are 3g girls and 2g boys in a cinema hall. How many people altogether are in the cinema hall?
 A farmer collected 12C eggs then sold 7C egg remained?
 A book seller has 5d books. He sold 3r books. How many books remained?
 In a class there are 8x pupils.Each pupil was given 3 sweets. How many sweets altogether were given out?
 Maria bought 3 shirts from the supermarket. If each shirt was sold at 6p shillings, how much did she pay for the shirts, altogether?
 Simplify the expressions below
 2w + 5w + 4w =
 7x  3x  x =
 8q + .4q + 2q =
 George had 10 b story books, 12 y exercise books and 8 x maths text books. How many books in total did he have?
 Karim had Sh.15d. He spent Sh.9d to buy toys. How many shillings did he remain with?
 In a basket there are 6t lemons, 8x mangoes and 4y oranges. How many fruits altogether are in the basket?
MARKING SCHEME
Exercise 1

 Hundreds

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

 3021
 9127

 3055
 7276
 7312
 2168
 471
 2290

 1000
 8400
Exercise 3
 360
 384
 2432

 4606
 12
 17 Rem 1

 12
 1 Mango

 13
 1sweet
 864
Exercise 4

 5/8
 4/5 or
 2/5

 9
 9
 2/6 or 1/3
 23/6
 41/4
 Shading 7 boxes

 3/5, 8/11
 12/7, 18/13
 43/8 23/17
Exercise 5
 0.375
 Shading

 0.9
 0.07.
 0.59

 5/100
 5/10
 43/100
 Hundredth
 0.07

 0.3, 0.9, 1.3, 3.1, 24
 0.31, 0.54, 0.72, 1.2 8.

 0.8
 4.73
Exercise 6

 metres
 Centimetres
 Centimetres
 Centimetres

 4 metres
 2.5m

 3 metres 75 cm
 745cm

 25m 00cm
 77m 15cm
 38m 00cm

 24m 08cm
 53m 09 cm
 2.85

 29.68
 33.22
 6.44
 14.72
Exercise 7

 46cm
 140cm
 106cm
 143cm
 586cm
 2 metres

 4 units
 48 units
 64 units

 216cm^{2}
 250 cm^{2}
 1125cm^{2}
 6cm
Exercise 8
 0.5
 8
 24

 2, 4
 2 5.
 6.
 4
 ^{1}/_{2} kg
Exercise 9

 216
 1265
 132
 6312kg
 935kg
 1575
 1949
 359
 54
Exercise 10

 Cube
 Cuboid

 4
 24

 108 cubes
 96 cubes
 10
 ^{1}/_{2}
 4
 12
 416 litres
 831

 545
 6018
 1 Litre
Time
 10.37am

 am
 pm
 am
 6.20pm
 Noon
 195 mins
 2 hrs 15 min
 8 hours
 1 hour 55 min
 336 hrs
 6 days
 6 weeks
 12 weeks

 11 hrs 00min
 48 min
 8Wks 3days
 23 min
Money
 900 cents
 6 sh. 25 cts
 450 cts
 16
 140 Shs

 225
 275
 165 Shs

 103Shs 00cts
 48Shs 15 cts
 161.80 cts
Geometry

 Anticlockwise
 Clockwise
 Clockwise
 Clockwise
 2

 acute
 Obtuse

 Obtuse
 Acute
 Right angle
 Reflect angle
 Right angle
 2
 4
 3
Data Handling
Marks  Tally marks  Number of pupils 
74  IIII  5 
78  IIII  4 
84  II  2 
86  IIII  4 
88  IIII  5 
Vehicles  Tally marks  Quantity 
Taxis  IIII IIII III  13 
Lorries  IIII IIII IIII IIII IIII IIII IIII  34 
Saloon car  IIII IIII IIII I  16 
Min buses  IIII IIII IIII IIII IIII II  27 
buses  IIII IIII IIII IIII I  22 
ALGEBRA
 A farmer has 8 goats, Y sheep and Z hens. How many animals altogether does he have? 8 + Y + Z = 8YZ
 There are 3g girls and 2g boys in a cinema hall. How many people altogether are in the cinema hall? 3g + 2g = 5g
 A farmer collected 12C eggs then sold 7C egg remained? 12c  7c = 5c
 A book seller has 5d books. He sold 3r books. How many books remained? 5d  3r
 In a class there are 8x pupils.Each pupil was given 3 sweets. How many sweets altogether were given out? 24x
 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
 Simplify the expressions below
 2w + 5w + 4w = 11u
 7x  3x  x = 3x
 8q + .4q + 2q = 14q
 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
 Karim had Sh.15d. He spent Sh.9d to buy toys. How many shillings did he remain with? 6d
 In a basket there are 6t lemons, 8x mangoes and 4y oranges. How many fruits altogether are in the basket? 6t + 8x + 4y
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