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ÔN TẬP TOÁN LỚP 5

Total questions: 204

Worksheet time: 8hrs 42mins

Name
Class
Date
1.

Read the following natural numbers: 30 567; 975 294; 5 263 908; 268 360 357 and state the value of the digit 5 in each of the above numbers.

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2.

Fill in the appropriate number in the blanks to have: a) Three consecutive natural numbers: 256; 257; ......... ........; 158; ......... .......; .......; 2010 b) Three consecutive even numbers: 68; ....; 72 786; .........; ........ ........; ......; 306 c) Three consecutive odd numbers: 25; 27; ..... ......; 1999; ........ 205; .......; .......

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3.

Arrange the following numbers in order: a) From smallest to largest: 2846; 4682; 2864; 8246; 4862. b) From largest to smallest: 4756; 5476; 5467; 7645; 6754.

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4.

Fill in the appropriate sign (> ; < ; =) in the blanks: 5789 ...... 56689 68400 ....... 684100 6500 :10 ..... 650 53796 ....... 53800.

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5.

Fill in the appropriate digit in the blank to get: a) 45 divisible by 3. b) 16 divisible by 9. c) 82 divisible by 2 and 5. d) 46 divisible by 3 and 2.

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6.

What is the definition of a fraction?

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7.

Write the fraction representing the part that has been taken: a) A cake divided into 9 equal parts, 2 parts have been sold. b) A basket of eggs divided into 5 equal parts, 4 parts have been sold.

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8.

Read the following fractions and identify the numerator and denominator of each fraction: 4 93 47 39 71 , , , 9 26 1000 4 38.

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9.

Write the quotients in the form of fractions: 7:9; 5:8; 6:19; 1:3; 27:4.

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10.

Write the following natural numbers as fractions: 1; 9; 6; 11; 0.

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11.

Fill in the appropriate number in the blanks: 1 6  = ; 7 1 =  ; 0 9  =.

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12.

Simplify the following fractions: a) 8 20 303 1515 ; 12 25 3003 2424 b) 2345 3457.

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13.

Which fraction is greater than 1?

a)

3/4

b)

9/14

c)

7/5

d)

6/10

e)

19/23

14.

Which fraction is less than 1?

a)

3/4

b)

9/14

c)

7/5

d)

6/10

e)

19/23

15.

Which fraction is equal to 1?

a)

3/4

b)

9/14

c)

7/5

d)

6/10

e)

19/23

16.

Compare the fractions 7/12 and 5/12.

a)

7/12 is greater

b)

5/12 is greater

c)

They are equal

17.

Compare the fractions 2/5 and 7/25.

a)

2/5 is greater

b)

7/25 is greater

c)

They are equal

18.

Compare the fractions 9/11 and 9/24.

a)

9/11 is greater

b)

9/24 is greater

c)

They are equal

19.

Compare the fractions 12/13 and 1212/1313.

a)

12/13 is greater

b)

1212/1313 is greater

c)

They are equal

20.

Compare the fractions 4/5 and 10/9.

a)

4/5 is greater

b)

10/9 is greater

c)

They are equal

21.

Compare the fractions 17/15 and 31/29.

a)

17/15 is greater

b)

31/29 is greater

c)

They are equal

22.

Compare the fractions 11/16 and 5/4.

a)

11/16 is greater

b)

5/4 is greater

c)

They are equal

23.

Compare the fractions 13/14 and 13/15.

a)

13/14 is greater

b)

13/15 is greater

c)

They are equal

24.

Compare the fractions 12/13 and 22/33.

a)

12/13 is greater

b)

22/33 is greater

c)

They are equal

25.

Compare the fractions 123/124 and 124124/125125.

a)

123/124 is greater

b)

124124/125125 is greater

c)

They are equal

26.

Which fractions are in ascending order?

a)

6/11

b)

23/33

c)

2/3

d)

11/33

e)

3/4

27.

Which fractions are in ascending order?

a)

135/248

b)

889/9118

28.

Which fractions are decimal fractions?

a)

3/10

b)

41/10078

c)

17

29.

Convert the following fractions to decimal fractions: 6, 7, 8, 11, 23, 17, 41

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30.

Circle the decimal fraction: 3, 10, 41, 10078, 17

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31.

Write the following fractions as decimal fractions with a denominator of 1000: 3, 7, 115, 3, 2005

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32.

What is a mixed number? Give an example.

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33.

How to convert a fraction to a mixed number?

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34.

How to compare two mixed numbers?

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35.

Convert the following fractions to mixed numbers: 14, 29, 100, 32, 315

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36.

Convert the following fractions to mixed numbers: 31, 89, 25, 124, 35

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37.

Convert the following mixed numbers to fractions: 1215, 3, 2, 4, 3, 9, 11

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38.

Convert the following mixed numbers to fractions: 264153, 5, 3, 7, 121, 8

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39.

Compare the following mixed numbers: 7/4/10 and 7/6/10

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40.

Compare the following mixed numbers: 4/3/15 and 11/3/15

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41.

Compare the following mixed numbers: 1/5/9 and 2/2/5

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42.

Compare the following mixed numbers: 2/2/3 and 10/2/15

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43.

How to convert a decimal fraction to a decimal number?

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44.

How to convert a mixed number containing a decimal fraction to a decimal number?

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45.

How to convert a decimal number to a mixed number containing a decimal fraction?

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46.

How to compare two decimal numbers?

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47.

Read and write the decimal numbers: 3.85, 86.524, 210.84, 0.00

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48.

Read the decimal numbers, state the integer part, the decimal part, and the value of each digit in each row.

a)

3.85

b)

86.524

c)

210.84

d)

0.006

49.

Write the following decimal numbers:

a)

Seven units, five tenths.

b)

Sixty-four units, fifty-three percent.

c)

Three hundred and one units, four percent.

d)

No units, two thousandths.

e)

The number with the smallest integer part that has 3 digits, the decimal part is the largest number with 3 digits.

50.

Convert the fractions to decimal numbers:

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51.

Convert mixed numbers to decimal numbers:

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52.

Write the decimal numbers as fractions:

a)

3.56

b)

8.625

c)

0.00035

53.

Write the decimal numbers as fractions:

a)

1.038

b)

2.00324

c)

3.5

54.

Compare:

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55.

Write in order:

a)

From smallest to largest: 3.28, 2.94, 2.49, 3.08.

b)

From largest to smallest: 8.205, 8.520, 9.1, 8.502.

56.

Find the smallest and largest numbers from the following:

a)

6491

b)

32491

c)

6.49

d)

6

e)

51000

57.

Fill in the appropriate signs in the blanks:

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58.

Find the digit x, knowing:

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59.

Find the natural number x such that:

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60.

Find the natural number x such that: a. 2.9 < x < 3.5 b. 3.25 < x < 5.05 c. x < 3.008.

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61.

Find the decimal number x with one digit in the decimal part such that: 89 < x < 90.

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62.

Find the decimal number x with two digits in the decimal part such that: 0 < x < 0.10.

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63.

Find two consecutive natural numbers x and y such that: 19 < xy < 54.

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64.

Given the decimal number 30.72. How does this number change if: a) Remove the decimal point? b) Move the decimal point to the right by 1 digit? c) Move the decimal point to the left by 1 digit?

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65.

How will the number 19.99 change if: a) Remove 2 digits in the decimal part? b) Replace the digits 9 with the digit 1?

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66.

Write the smallest natural number with 10 different digits?

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67.

Write the smallest decimal number consisting of 10 different digits?

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68.

Fill in the appropriate number in the blank: a) 5m 2dm = .........dm b) 97dm = ........mm c) 932hm = .......km........hm

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69.

Fill in the appropriate number in the blank: a) 162kg = .................g b) 826kg = .........yến .......kg c) 4 tons 3 yến = ......kg

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70.

Fill in the appropriate number in the blank: a) 162kg = (a)   g

71.

Fill in the appropriate number in the blank: b) 826kg = .........yến .......kg

(a)  

72.

Fill in the appropriate number in the blank: c) 4 tấn 3 yến = (a)   kg

73.

Fill in the appropriate number in the blank: a) 2m2 15 dm2 = (a)   dm2

74.

Fill in the appropriate number in the blank: c) 15 km2 18 ha = (a)   dam2

75.

Fill in the appropriate number in the blank: b) 3 ha 46 m2 = (a)   m2

76.

Fill in the appropriate number in the blank: d) 23 m2 9 dm2 = (a)   dm2

77.

Fill in the appropriate number in the blank: a) 47 m3 = (a)   dm3

78.

Fill in the appropriate number in the blank: b) 2m3 78dm3 = (a)   cm3

79.

Fill in the appropriate number in the blank: c) 19dm3 = (a)   cm3

80.

Fill in the appropriate number in the blank: d) 29 m3 = (a)   cm3

81.

Fill in the appropriate number in the blank: a) 3 ngày 2 giờ = (a)   giờ

82.

Fill in the appropriate number in the blank: b) 29 tháng = .........năm.....tháng

(a)  

83.

Fill in the appropriate number in the blank: c) 145 phút = .........giờ.......phút

(a)  

84.

Fill in the appropriate number in the blank: d) 3 phút 46 giây = (a)   giây

85.

Fill in the appropriate fraction or mixed number in the blank: a) 15m2 = (a)   dam2

86.

Fill in the appropriate fraction or mixed number in the blank: b) 1925 m2 = (a)   hm2

87.

Fill in the appropriate fraction or mixed number in the blank: c) 5m2 25 dm2 = (a)   m2

88.

Fill in the appropriate fraction or mixed number in the blank: d) 4 hm2 305 m2 = (a)   hm2

89.

Fill in the appropriate fraction or mixed number in the blank: a) 2 giờ 40 phút = (a)   giờ

90.

Fill in the appropriate fraction or mixed number in the blank: b) 42 phút = (a)   giờ

91.

Fill in the appropriate fraction or mixed number in the blank: c) 6480 giây = (a)   giờ

92.

Fill in the appropriate fraction or mixed number in the blank: d) 108 giây= (a)   phút

93.

Write the measurements in decimal form: a) 5 tấn 762 kg = (a)   tấn

94.

Write the measurements in decimal form: b) 285 g = (a)   kg

95.

Write the measurements in decimal form: c) 4m 5cm = (a)   m

96.

Write the measurements in decimal form: d) 2006 m m = (a)   m

97.

Write the measurements in decimal form: a) 2 m 75 m m = (a)   m

98.

Write the measurements in decimal form: b) 16 km 335 m = (a)   km

99.

Write the measurements in decimal form: c) 36 ha = (a)   km2

100.

Write the measurements in decimal form: d) 22 dm2 5 cm2 = (a)   dm2

101.

Write the measurements in decimal form: a) 27/10 tấn = (a)   tấn

102.

Write the measurements in decimal form: b) 11/4 km = (a)   km

103.

Write the measurements in decimal form: c) 1/4 m = (a)   km

104.

Write the measurements in decimal form: d) 26/5 kg = (a)   kg

105.

Fill in the appropriate sign in the blank: 3kg 55g  3550 g

a)

True

b)

False

106.

Fill in the appropriate sign in the blank: 4 km 44 dam  44 hm

a)

True

b)

False

107.

Fill in the appropriate sign in the blank: 4 dam 5m 5c

a)

True

b)

False

108.

Điền dấu thích hợp vào ô trống: 3kg 55g  3550 g 4 km 44 dam  44 hm 4 dam 5m 5cm  50dm 5mm

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109.

Điền dấu thích hợp vào ô trống: 3dm 2 7 cm 2  370 cm 2 1 5 ha  19 dam 408 hm 2  8 km 2

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110.

Điền dấu thích hợp vào ô trống: 1 giờ 20 phút  1,2 giờ 2 1 3 giờ  100,1 phút 1 12 tuần  840 phút

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111.

Tính: 67/78 + 42/53 - 24/39 * 12/57

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112.

Tính: 23/351 + 4 11/742 - 11/23 * 32/11 4 :2 33

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113.

Tính: 3 24 : 5 79 * 213 : 11 3 2 * 51 1 23 4 + 1 11 : 2 46

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114.

Tính: 134 101 + 157 105 - 2 34 5 59 + 357 426 * 11 1 : 24 6 - 212 349 - + 5 13 2 32

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115.

Tính: 32/45 + 31 6/213 + 847 + 31 1/215 - 84 3

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116.

Tính: 512 : 1 233 + 51 96 23 27 - 4 * 2

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117.

Tính: 613 5 : 724 8 * 31 34 2 : 52

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118.

Tính: 1 33 1234 - 3 44 + 51 3 26 * 66 + 15 5 345 - 2714 + 11 1 : 4:5

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119.

Tính nhanh: 254 399 145 - 254 399 253 * 5932 6001 5931 + 5932 6001 69

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120.

Find x: 32 + x = 25

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121.

Find x: 42 - x = 13

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122.

Find x: 13 × x = 34

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123.

Find x: 21 : x = 24

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124.

Find x: 33 - x × 6 = 48

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125.

Find x: 71 : x = 3

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126.

Find x: 11 + x × 3 = 23

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127.

Find x: 342 × x - 253 = 0

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128.

Find x: 1 × 11 : 3 = 4

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129.

Find x: 221 - 5 : 3 = 2

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130.

Calculate the value of the expression: 31 + 61 - 102

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131.

Calculate the value of the expression: 111111 - 1111.11 × 234520032004

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132.

A piece of land has dimensions as shown in the figure. Calculate the area of the land?

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133.

The figure ABCDEG is a drawing of a piece of land on the map with a scale of 1:1000. To calculate the area of the land, it is divided into quadrilateral ABCG and rectangle GCDE, and the following line segments are measured: 1.5 GH cm; 2.5 HI cm; 2 IC cm; 2 AH cm; 2.4 BI cm; 1.5 CD cm; 3 DE cm. Calculate the area of the land?

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134.

The perimeter of the rectangular piece of land is equal to the perimeter of the square piece of land with a side length of 30m. The length of the rectangular piece of land is equal to the side of the square piece of land. Watermelons are grown on the rectangular piece of land, yielding 350 kg of watermelons per 100 m². How many tons of watermelons can be harvested from the rectangular piece of land?

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135.

Trapezoid ABCD has a longer base AB of 2.2m; the shorter base is 0.4m less than the longer base; the height is half the sum of the two bases. Calculate a) the area of the trapezoid? b) the area of triangle ABC? c) the area of triangle ACD?

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136.

Parallelogram ABCD has AB = 4.5 dm; AH = 3.2 dm; DH = 1.5 dm. Calculate the area of trapezoid ABCH?

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137.

Trapezoid ABCD has a longer base CD = 16 cm, a shorter base AB = 9 cm. It is known that DM = 7 cm, and the area of triangle BMC is 37.8 cm². Calculate the area of ABCD?

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138.

Calculate the perimeter and area of a circle with: a) radius = 3 cm b) diameter = 10 cm.

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139.

What is the circumference and area of a circle with a radius of 3 rcm?

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140.

The diameter of a bicycle wheel is 65 cm. How many times must each wheel roll to cover a distance of 2041 m?

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141.

In the figure, if the circle has a diameter of 50 cm and the area of the rectangle is 18% of the area of the circle, what is the area of the shaded part of the circle?

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142.

The flower garden of an elementary school is a rectangle with a length of 18 m and a width of 9.5 m. The area planted with rose flowers consists of 2 circles with a radius of 1.5 m; what is the area of the remaining garden planted with other types of flowers?

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143.

Calculate the area of the land with the dimensions shown in the figure.

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144.

Calculate the circumference and area of a circle given: a) Diameter 3 ddm = 5 b) Radius 0.8 rm = ?

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145.

Calculate the circumference and area of the circle shown in the figure, knowing that the square has a side length of 10 cm.

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146.

Calculate the area of the land with the dimensions shown in the figure.

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147.

Calculate the lateral area, total area, and volume of the following shapes: a) A rectangular box with a length of 4 m, a width of 3 m, and a height of 2 m. b) A cube with a side length of 2 m.

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148.

A classroom is a rectangular box with dimensions: length 8.5 m, width 6.4 m, height 3.5 m. Calculate the area that needs to be painted, knowing that the area of the ceiling and the walls inside the room is to be painted.

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149.

A rectangle has dimensions in the room: length 8.5m, width 6.4m; height 3.5m. They paint the ceiling and the walls inside the room. Calculate the area to be painted, knowing that the area of the doors is 25% of the ceiling area.

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150.

A box without a lid made of tin in the shape of a rectangular box has a length of 25m; width 15m; height 18m. a) They paint the sides of the box red and the bottom white. What is the area painted red and white? b) Calculate the area of the tin used to make the box (not counting the welding edge)?

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151.

A water tank has the shape of a rectangular box with internal dimensions: length 2m; width 1.2m; height 1.4m. How many liters of water can the tank hold?

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152.

A cube-shaped metal block has an edge of 18cm, how much does it weigh in kg? Knowing that each cubic centimeter of that metal weighs 30g?

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153.

A rectangular water tank, square base, with a base edge length of 1.2m; height 1.5m; currently has no water. A pump pumps water into the tank at 75 liters per minute. How long will it take for the pump to fill the tank?

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154.

Group 1 harvested 165kg of vegetables. Group 2 harvested 42kg more than group 1 but 15kg more than group 3. What is the average amount of vegetables harvested by each group?

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155.

In the first 2 days, 12000 liters of milk were bought each day. In the next 3 days, 21000 liters of milk were bought each day. What is the average amount of milk bought per day?

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156.

The average age of a football team (11 people) is 22 years. If the age of the team captain is not counted, the average age of the remaining 10 players is only 21 years. What is the age of the team captain?

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157.

The sum of two consecutive even numbers is 74. What are the two numbers?

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158.

Mother gave birth to Tam when she was 26 years old. Knowing that by 2004, the total age of the two of them was 42 years. How old is Tam?

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159.

The sum of two consecutive even numbers is 74. Find those two numbers?

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160.

Mother gave birth to Tam at the age of 26. Knowing that by 2004, the total age of the two was 42 years. In which year was Tam born?

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161.

The perimeter of a rectangle is 40 cm. If the length is reduced by 3 cm and the width is increased by 3 cm, it becomes a square. Calculate the area?

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162.

On the bookshelf, there are 108 books consisting of Vietnamese and Math books. The number of Math books is 4/5 of the number of Vietnamese books. How many Math books and how many Vietnamese books are there?

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163.

A rectangular flower garden has a perimeter of 120m, and the width is 5/7 of the length. a) Calculate the length and width? b) If 1/25 of the area is used for a path, what is the area of the path?

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164.

The difference between two numbers is 36. The larger number is 5/3 of the smaller number. Find those two numbers.

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165.

Class 5A has 40 students. Class 5B has 36 students. Class 5B planted 12 fewer trees than class 5A. How many trees did each class plant (each student planted the same number of trees)?

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166.

Class 4A has 40 students. Class 4B has 36 students, and class 4C has 43 students. The school distributed 357 notebooks to all three classes. How many notebooks did each class receive?

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167.

Buying 5 meters of fabric costs 80,000 VND. How much does it cost to buy 7 meters of that fabric?

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168.

You bought 2 dozen pencils for 30,000 VND. How much will Minh have to pay for 8 pencils like that?

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169.

16 trucks can carry 1728 kg of rice. With that capacity, how much rice can 24 trucks carry?

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170.

A car consumes 20 liters of gasoline for every 100 km. Knowing that the car has traveled 75 km, how much gasoline has it consumed?

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171.

My family uses 2 cylinders of 13 kg gas every 3 months. How much gas does my family use in a month?

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172.

If a car consumes 20 liters of gasoline for every 100 km, and it has traveled 75 km, how much gasoline has it consumed?

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173.

If my family uses 2 gas cylinders of 13 kg every 3 months, how much gas will my family use in a year, knowing that 1 kg of gas costs 13000 VND?

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174.

A factory plans to sew 48 sets of clothes using 120 meters of fabric. On the first day, they sewed 18 sets, and on the next day, they used 60 meters of fabric. How many more sets of clothes does the factory need to sew?

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175.

A school organizes a trip for students to visit a historical site. For the first trip, 3 cars are needed to transport 120 students. How many cars are needed for the second trip if they want to transport 160 students?

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176.

To build a foundation, 15 people must work for 12 days. How many people are needed if the work must be completed in 9 days (with the same work capacity)?

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177.

14 people complete a section of road in 5 days. How many days will it take for 35 people to complete the same section of road, knowing they work at the same rate?

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178.

Find the percentage ratio of: a. 25 and 40 b. 1.6 and 80 c. 0.4 and 3.2 d. 3/2 and 4/3 e. 18 and 4/5 g. 0.3 and 0.96.

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179.

Find 15% of 320 kg.

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180.

Find 24% of 235 m².

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181.

Find 46% of 36 m.

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182.

Find 0.4% of 350.

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183.

Write the following numbers in percentage notation: a. 6, 7, 13, 27, 49 b. 0.75, 3.68, 5.432, 17.4986.

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184.

Find the percentage ratio of the following pairs of numbers: 3:4, 4:5, 8:5, 5:8, 12:25, 136:50.

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185.

In a 5th grade class of a primary school with 150 students, 52% are girls. How many boys are there in the class?

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186.

The final math exam scores for the 5th grade class of school A are given in the table below. Calculate the percentage of each type of student: Excellent, Good, Average, Weak.

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187.

Calculate the percentage of each type of student in school A compared to the 5th grade.

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188.

The teacher of class 5A said, 'The score of 10 accounts for 25%, the score of 9 is 6.25% more than the score of 10; thus, there are 18 students who got a score of 10 or 9, all students in the class submitted the test.' How many students are there in class 5A?

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189.

A student set a plan to achieve a total of 180 points this month. Due to effort, that student achieved 207 points. How much percentage of the plan did the student achieve?

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190.

A herd of cows and buffaloes has a total of 150 animals. Among them, buffaloes account for 60% of the herd. How many cows are there?

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191.

The current savings interest rate is 0.75% per month with a term of 1 year. If at the beginning of the year, 2 million VND is deposited, what will be the total amount (both principal and interest) at the end of the year?

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192.

The population of our country at the end of 2005 was 82,000,000 people. If the population growth rate is 1.3% per year, what will the population be at the end of 2007?

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193.

The bee farm has just harvested honey. After selling 135 liters of honey, the remaining amount is 62.5% of the honey just harvested. How many liters of honey are left?

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194.

How many bottles of honey are there if the remaining honey is poured into bottles, each containing 0.75 liters?

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195.

A canoe traveled from 6:30 AM to 7:45 AM covering a distance of 30 km. What is the speed of the canoe?

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196.

A canoe traveled from 6:30 AM to 7:45 AM covering a distance of 30 km. What is the speed of the canoe?

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197.

A motorcycle left point A at 8:20 AM with a speed of 42 km/h, arriving at point B at 11:00 AM. What is the distance AB?

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198.

The flying speed of a golden eagle is 96 km/h. How long does it take for the eagle to fly a distance of 72 km?

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199.

A person rode a bicycle from home to the district at a speed of 24 km/h for 45 minutes. Then returned home at a speed of 30 km/h. How long did it take for the person to return home?

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200.

Two cars started from A to B. Car 1 traveled at a speed of 45 km/h, and car 2 traveled at a speed equal to 4/5 of car 1's speed. What are the speeds of each car traveling from A to B, given that the distance AB is 108 km?

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201.

The distance from Hanoi to Quang Ninh is 180 km. One car travels from Hanoi to Quang Ninh at a speed of 50 km/h, while another car travels from Quang Ninh back to Hanoi at a speed of 40 km/h. If they start at the same time, after how many hours will the two cars meet?

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202.

Two people started walking at the same time from A to B and back. The person starting from A has a speed of 4.2 km/h. The person starting from B has a speed of 4.8 km/h. The distance AB is 18 km. After how many hours will the two meet? How far from A will they meet?

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203.

The distance AB is 60 km. At the same time, one car departs from A and one motorcycle departs from B in the same direction towards C. The car's speed is 50 km/h and the motorcycle's speed is 30 km/h. How long will it take for the car to catch up with the motorcycle?

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204.

A person rode a bicycle from A at a speed of 14 km/h. After 2 hours, another person on a motorcycle also left A and chased after the person on the bicycle. How long will it take for the motorcyclist to catch up with the cyclist, knowing that the motorcycle's speed is 42 km/h?

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