JKBOSE 7th Class Model Paper Maths
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JKBOSE 7th Class Model Paper Maths – Text
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Page 1
MODEL TEST PAPER
Class: - VII Subject: - Mathematics
Time: 2 hour 30 mins. Total Marks: 50
General instructions
1) Section A comprises of 8 questions carrying 1 mark each.
2) Section B comprises of 6 questions carrying 2 marks each.
3) Section C comprises of 5 questions carrying 3 marks each.
4) Section D comprises of 3 questions carrying 5 marks each
Section A (Very very Short Type Question)
Q1:- There are ___________number of rational numbers between two rational numbers.
a) Unlimited b) Limited
Q2:- Which congruence criterion do you use in the following?
Q3. Name the solid, who’s net is shown below:
A. Cone B. Cylinder C. Sphere D. Rectangle
Q4. English alphabet "Z" has rotational symmetry of order ______.
A. 2 B. 1 C. 4 D. 3
Q5. Rhombus has a perimeter of 44 cm, then what will be the length of its side?
A. 7 cm B. 4 cm C. 11 cm D. 14 cm
Q6. In the given figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
(True/False)
Class: - VII Subject: - Mathematics
Time: 2 hour 30 mins. Total Marks: 50
General instructions
1) Section A comprises of 8 questions carrying 1 mark each.
2) Section B comprises of 6 questions carrying 2 marks each.
3) Section C comprises of 5 questions carrying 3 marks each.
4) Section D comprises of 3 questions carrying 5 marks each
Section A (Very very Short Type Question)
Q1:- There are ___________number of rational numbers between two rational numbers.
a) Unlimited b) Limited
Q2:- Which congruence criterion do you use in the following?
Q3. Name the solid, who’s net is shown below:
A. Cone B. Cylinder C. Sphere D. Rectangle
Q4. English alphabet "Z" has rotational symmetry of order ______.
A. 2 B. 1 C. 4 D. 3
Q5. Rhombus has a perimeter of 44 cm, then what will be the length of its side?
A. 7 cm B. 4 cm C. 11 cm D. 14 cm
Q6. In the given figure, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).
(True/False)
Page 2
Q7. Which of the following has no line of symmetry?
Ans:- (D)
Q8:- Assertion: The sum of the measures of two supplementary angles is 180° .
Reason: When the sum of the measures of two angles is 180°, the angles are called
supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Section B (Very Short Type Question)
Q9:- Find the values of the angles x and y in the following figure.
Q10:- In a computer lab, there are 5 computers for every 10 students . How many computers will be
needed for 24 students.
Q11:- In the following figure, show that ΔPSQ ≅ ΔPSR.
Ans:- (D)
Q8:- Assertion: The sum of the measures of two supplementary angles is 180° .
Reason: When the sum of the measures of two angles is 180°, the angles are called
supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Section B (Very Short Type Question)
Q9:- Find the values of the angles x and y in the following figure.
Q10:- In a computer lab, there are 5 computers for every 10 students . How many computers will be
needed for 24 students.
Q11:- In the following figure, show that ΔPSQ ≅ ΔPSR.
Page 3
Q12. If ∠AOD is 180°, then find the values of 'x'.
Q13:- In the given figure, a circle is inscribed in a square ABCD of side 28 cm. Find the area of the
shaded region
(a) 168 cm2 (b) 184 cm2 (c) 216 cm2 (d) 236 cm2
Q14:- If the measures of angles of a triangle are in the ratio 2:3:4, then what is the measure of the
greatest angle?
a) 76° (b) 84° (c) 72° (d) 80°
Section C (Short Type Question)
Q15:- During an educational excursion, the Math teacher observed triangles in a bridge over a river
and shown to students.
To emphasis the co-relatedness of math in daily life he just draw its simplified figure (side
view) as shown here with following description:
AD=AE=BE=BF=CF=CG=10 m. and ∠A=∠B=∠C=900.
(i) Count the no. of isosceles triangles in figure.
(ii) Value of ∠D is
a) 600 (b) 450 (c) 300 (d) 900
Q13:- In the given figure, a circle is inscribed in a square ABCD of side 28 cm. Find the area of the
shaded region
(a) 168 cm2 (b) 184 cm2 (c) 216 cm2 (d) 236 cm2
Q14:- If the measures of angles of a triangle are in the ratio 2:3:4, then what is the measure of the
greatest angle?
a) 76° (b) 84° (c) 72° (d) 80°
Section C (Short Type Question)
Q15:- During an educational excursion, the Math teacher observed triangles in a bridge over a river
and shown to students.
To emphasis the co-relatedness of math in daily life he just draw its simplified figure (side
view) as shown here with following description:
AD=AE=BE=BF=CF=CG=10 m. and ∠A=∠B=∠C=900.
(i) Count the no. of isosceles triangles in figure.
(ii) Value of ∠D is
a) 600 (b) 450 (c) 300 (d) 900
Page 4
(iii) A student Raman said that ΔADE, ΔBEF &ΔCFG are congruent. Whether his statement is
true?.
Q16:- The sum of two rational number is −4. if one of them is -13⁄12, find the other.
Q17:- The figure represents a square piece of land with a circular grass bed in the middle. Find
i. The area of the whole land
ii. The area of the grass bed
iii. The length of the wire needed to fence the grass bed.
Q18:-. A small Equilateral triangle is located inside a bigger Equilateral triangle as shown in the
figure below. The length of one side of the small Equilateral triangle is 3 cm and the length of one
side of the big Equilateral triangle is 7 cm. What is the area of the shaded region?
Q19:-Meeta saves ₹ 4000 from her salary. If this is 10% of her salary. What is her salary? Or
Section D (Long Answer Type Question)
Q20:-In the Fig., ABCD is a parallelogram, DL ⊥ AB. If AB = 20 cm, AD = 13 cm and area of the
parallelogram is 100 cm2, find AL.
true?.
Q16:- The sum of two rational number is −4. if one of them is -13⁄12, find the other.
Q17:- The figure represents a square piece of land with a circular grass bed in the middle. Find
i. The area of the whole land
ii. The area of the grass bed
iii. The length of the wire needed to fence the grass bed.
Q18:-. A small Equilateral triangle is located inside a bigger Equilateral triangle as shown in the
figure below. The length of one side of the small Equilateral triangle is 3 cm and the length of one
side of the big Equilateral triangle is 7 cm. What is the area of the shaded region?
Q19:-Meeta saves ₹ 4000 from her salary. If this is 10% of her salary. What is her salary? Or
Section D (Long Answer Type Question)
Q20:-In the Fig., ABCD is a parallelogram, DL ⊥ AB. If AB = 20 cm, AD = 13 cm and area of the
parallelogram is 100 cm2, find AL.
Page 5
OR
From a circular card sheet of radius 14cm , two circles of radius 3.5cm and a rectangle of length
3cm and breadth 1cm are removed (as shown in the fig. ). Find the area of the remaining sheet.
Q21. Draw a triangle PQR, where PQ = 5.7 cm, ∠P = 45o and ∠Q = 30o.
(or)
Draw a right-angled triangle in which hypotenuse is of length 5 cm and one side of length 3 cm.
Also measure the length of third side.
Q22. From the fig. given below, answer the following:
i. Which edge is the intersection of faces EFGH and EFBA?
ii. Which faces intersect at edge FB?
iii. Give all the edges that are perpendicular to edge AB.
iv. Give four vertices that do not all lie in one plane.
From a circular card sheet of radius 14cm , two circles of radius 3.5cm and a rectangle of length
3cm and breadth 1cm are removed (as shown in the fig. ). Find the area of the remaining sheet.
Q21. Draw a triangle PQR, where PQ = 5.7 cm, ∠P = 45o and ∠Q = 30o.
(or)
Draw a right-angled triangle in which hypotenuse is of length 5 cm and one side of length 3 cm.
Also measure the length of third side.
Q22. From the fig. given below, answer the following:
i. Which edge is the intersection of faces EFGH and EFBA?
ii. Which faces intersect at edge FB?
iii. Give all the edges that are perpendicular to edge AB.
iv. Give four vertices that do not all lie in one plane.