2023/24G.

C SOUTH WEST ACADEMY QUARTER-IV MATH REVISION

QUESTIONS FOR GRADE-7 STUDENTS

Name _________________________________ Grade 7 Section __________

I. TRUE/FALSE QUESTIONS ITEM

1. A data with two modes is called bimodal data.
2. The score of data with the highest frequency is the median of the data.
3. The best measure of central tendency or location is mean.
4. The data that arranged in either ascending or descending order is called raw data.
5. Any congruent figures have the same area.
6. Any two equilateral figures are congruent.
7. The mean of the first 20 natural numbers is 10.
8. Pie chart is most commonly used to represent two related facts.
9. A data with three modes is called trimodal
10. If ΔDEF ΔRTS, then <E <R.
11. Every figure is congruent to itself.
12. If two figures have the same shape, then they are congruent.
13. All rectangles are square.
14. Line graphs can be used to show continues data.
15. If ΔABC ΔDEF and ΔDEF ΔPQR, then ΔABC ΔPQR.
16. Pie chart is a very common and accurate way of representing data.
17. The mean is the middle value when the data is arranged in order of size.
18. If the areas of two circles are the same, then they are congruent.
19. The mean of the first ten whole numbers is 10.
20. If two figures have the same perimeter, then the figures are congruent.
II. Multiple choice
21. Which one of the following is measures of dispersion?
A) Mean B) Mode C) Range D) Median
22. The mean of three numbers is 12 and the mean of five other numbers is 12. What is the
mean of all eight numbers?
A) 20 B) 16 C) 14 D) 12
23. Find the value of x so that triangle PQR is congruent to triangle DEF. If m(<P)=(4x+9)0
and m(<D)=(2x+21)0. A) 6 B) 10 C) 8 D) 7
24. What is the value of x so that the mean of 12, 16, 10, 17, 15 and x+2 is 16?
A) 20 B) 22 C) 24 D) 21

25. What is the value of y in which the median of 6, 4, 7, 8, 10 and y is

15?
2
A) 9 B) 10 C) 7 D) 8
26. The range of -6, -30, 0, 5, 17, -50 and 17 is ______.
A) -50 B) 67 C) 50 D) -67

SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7
27. The following pie chart shows favorite chewing gum of 40 students in a certain class. How
many students of the class choose coffee?

Coffee 45°

Mint
63°

Trident 108° Banana

144°

A) 5
B) 7
C) 12
D) 16
28. The pie chart below represents a family expenditure from Br.100, 000 monthly incomes.
How much money did a family spend on entertainment?

ent.
20%
food
44%
saving
18%

cloth
10%
trans.
8%
A) 44,000Br B) 10,000Br C) 20,000Br D) 18,050Br
29. A region bounded by two radii and an arc of a circle is _____.
A) diameter B) segment C) secant D) sector
30. What number should be included in the data: 6, 7, 3, 10, 1 and 10 so that the mean is 6?
A) 7 B) 4 C) 9 D) 5
31. Find the value of x so that triangle ABC is congruent to triangle DEF and <B=(x+10)0 and
<E = (2x-15)0. A) 20 B) 25 C) 5 D) 30
32. What is the value of y so that the mean of: 12, 8, 15, 10, 14 and y-5 is 11?
A) 12 B) 10 C) 16 D) 11
33. The mean of six numbers is 60. If the mean of the first five numbers is 52, then what is the
value of the sixth number? A) 80 B) 90 C) 100 D) 85
34. If 4x2+4y2+4z2 = 360, then what is the mean of x2, y2 and z2?
A) 30 B) 90 C) 180 D) 270
35. If the mean of A and B is 20, the mean of B and C is 24 and the mean of A, B and C is 18,
then what is the mean of A and C? A) 20 B) 10 C) 40 D) 15
SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7
36. Given the data: 6, 5, 4, 8, 12 and 7. Which one of the following is true?
A) The mean is 5 B) The range is 8 C) The median is 6 D) It is unimodal
37. Which one of the following is a measure of central tendency?
A) Range B) Variance C) Mean D) Standard deviation
38. If the mean of four numbers is 6, and the mean of five other numbers is y and the mean of
all nine numbers is 11. What is the value of y?
A) 10 B) 15 C) 20 D) 25
39. The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the
excluded number. A) 25 B) 30 C) 35 D) 20
40. The mean of five numbers is 17. If 3 is added to every number, what will be the new mean?
A) 14 B) 17 C) 20 D) 51
41. Which graph is preferable to show the relationship of speed verses time?
A) Pie chart B) Line graph C) Pictograph D) Bar graph
42. Let ΔDEF ΔRST, then which one of the following statement is FALSE?

A) <T <D B) <R <D C)

RS  TR D) ST  RS
DE DE EF DE
43. An isosceles right angled triangle has equal sides 6cm long. The area of this triangle is:
A) 12cm2 B) 18cm2 C) 24cm2 D) 16cm2
44. What is the degree measure of the third angle of a triangle? 22°,80°,____.
A) 78° B) 129° C) 32° D) 58°
45. Suppose ΔABC ΔDEF and m(<A)=80°,then m(<D) is: A) 60° B) 80° C)90° D) 120°
46. Given that ΔABC ΔPQR such that <A=(3x+30°) and <P=60°, then what is the value of x?
A) 10° B) 20° C) 40° D) 60°
47. Given <A <D and <B <E and AB=ED, then ΔABC ΔDEF by:
A) SSS B) SAS C) ASA D) RHS
48. Find the base of a triangle whose altitude is 20cm and area is 0.8m2.
A) 10m B) 7m C) 8m D) 5m
49. If ΔABC ΔPQR, then which of the following is NOT true?
A) BC=PQ B) AC=PR D) QR=BC D) AB=PQ
50. Let ΔABC is an isosceles with AB=AC, m(<B)=(10x-15)° and m(<C)=(6x+5)°, then the
measure of angle A or m(<A)is: A) 35° B) 55° C) 70° D) 110°
51. If the highest and lowest scores of a given data are -6 and -8 respectively, then the range of
the data is______. A) -2 B) -14 C) 2 D) 14
52. What is the value of x, if the median of the given data 2, x, 5, 7, 1, 3 is 3.5?
A) 3.5 B) 3 C) 5 D) 4
53. If the mean of a and b is 20, the mean of b and c is 24 and the mean of a, b and c is 18,then
the mean of a and c is: A)20 B) 10 C) 15 D) 22
54. A given data may not have one of the following?
A) Mean B) Mode C) Median D) Range
55. Which graph is preferable to show the relationship of velocity verses displacement?
A) Bar graph B) Pie chart C) Pictograph D) Line graph
56. What the value of x so that the mean of 12, 8, 15, 10, 14 and x-5 is 11?
A) 12 B) 16 C) 11 D) 10
57. By which of the following criterion two triangles cannot be proved congruent?
A) SSS B) SAS C) ASA D) AAA
SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7
 III. Fill in the blank spaces
58. The difference between the highest and the lowest value of the given data is called
____.
59.______, __________and ___________are measures of central tendency/location while
_______is measures of dispersion/variation.
60.___________graphs can be used to show continuous data.
61. If the median of 3, 4, “a” and 8 is 5, then the value of “a” is _______.
62. The mean of the data x+2, 2x-3, 2x, 3x+5 is 8. What is the value of x?
63. In congruence condition RHS, “H” stands for___________.
64. Two object with the same size and shape are said to be _______.
65. The mean of the first five prime numbers is_________.
66. The median the data:29, 35, 11, 20, 18 is__________.
67. A data that has four modes is known as _______.
68. The difference of the highest and the lowest score of the given data is called______.
IV. Workout Questions
69. The mean of four numbers is 9. Three of the numbers are 8, 6 and 16. Find the value
of the other number.
70. The pie chart shown below is the number of students in a certain school. There are
1200 students in the school. What is the number of students in each grade level?

G-5
G-8 15%
35%
G-6
20%

G-7
30%

71. What number should be included in the data 2, 8, 7, 4 and 9 so that the mean is 6?
72. If 2x4 + 2y4 + 2z4=144, then what is the mean of x4, y4 and z4?
73. A student has an average score of 90 on four subjects. If the student scored 88, 96 and
92 on three subjects, then what was the score on the fourth subject?
74.The mean of five numbers is 11. The numbers are in the ratio 1:2:3:4:5. Find the
numbers.

75.The median of 2, x, 5, 7, 1, 3 is
7 . Find the value of x.
2
76.Find the mean, median, mode and range of the following sets of data.
a) 14, 12, 24, 36, 23
b) 114, 112, 124, 139, 123

77. If the mean of a, b, c, and d is k, then what is the mean of a,

b , c+ b , and d+ b .
3 3 3
78. The mean of six numbers is 8. The numbers are in the ratio 2:3:2:3:2:4. Find the
median of the numbers.

SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7
 79. If the mean of p and q is 10, the mean of q and r is 8 and the mean of p, q and r is 8,
and then find the mean of p and r.
80. Calculate the mean, median and mode of the following data.
Value 10 15 20 25 30 35 40

Frequency 15 10 50 4 10 8 3

81. Consider the following pie chart

others
10%

transport
saving 20%
15%

ent
health
20%
35%

If the monthly income was Br.80, 000, then calculate

a) The amount of transport expense
b) The amount of health expense
c) The amount of saving
d) The amount of others expense
82. The mean of p, q, r and t is 7, then find
a) The mean of p+6, q+6, r+6 and t+6.

b) The mean of
2p , 2q , 2r , 2t .
3 3 3 3
83. The following is recorded high room temperature (0F) in one town. For the first week of
January was 670F, 650F, 600F, 620F, 670F, 720F and 690F. Find mean, mode, median, range.
84. Consider the following frequency table and find mean, mode, median and range.

Data 48 49 50 52 53 54
value(x)
Frequency 1 5 7 5 1 1
(f)

85. A student has an average score of 90 on four subjects. If a student scored 88, 96 and 92 on
three subjects, then what was the score on the fourth subject?

86. Given that ΔXYZ ΔDEF. If  Z  (1 x 10)° and <F=35°, then what is the value of x?
2
2
87. If the sum of the three angles of a quadrilateral is equal to 1 times the sum of the three
3
angles of a triangle, what is the measure of the fourth angle of the quadrilateral?

SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7
 88. The angles of a triangle are in the ratio of 2:3:5. What is the measure of the smallest
angle?

89. Find the area of the shaded part of the figure given below.

20cm

60cm

90. Consider the figure given below.( r=10cm

Find a) area b) circumference c) perimeter

SWA Jemo Branch 2024/25 A.Y Quarter-IV Mathematics Revision Question Grade-7