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Haryana Board Class 8 Maths SAT-1 Question Paper 2024 Answer Key
Instructions :
• All questions are compulsory.
• Questions (1-8) carry 1 mark each.
• Questions (9-10) carry 2 marks each.
• Question (11) carry 3 marks.
• Question (12) carry 5 marks.
1. दी गई दो परिमेय संख्याओं के बीच कितनी परिमेय संख्याएँ होती हैं?
How many rational numbers are there between two given rational numbers?
(a) Only one
(b) Only ten
(c) Only two
(d) Infinite
Answer : (d) Infinite
2. निम्न में से कौन-से समान पद है?
In which of the following, the two expressions are like terms?
(a) 7x and 7y
(b) 7x and 9x
(c) 7x and 7x2
(d) 7x and 7xy
Answer : (b) 7x and 9x
3. पूर्ण संख्याएँ किस संक्रिया के अंतर्गत क्रम विनिमेय है?
Under which operation, Whole numbers are commutative?
(a) multiplication
(b) division
(c) subtraction
(d) none of the above
Answer : (a) multiplication
4. एक चतुर्भुज के सभी कोणों का योग है :
The sum of all angles of a quadrilateral is :
(a) 180°
(b) 540°
(c) 360°
(d) 90°
Answer : (c) 360°
5. . निम्नलिखित में से कौन-सा विकल्प गलत है। समान्तर चतुर्भुज ABCD में :
Which of the following options is incorrect? In parallelogram ABCD :
(a) AD = BC
(b) ∠A = ∠C
(c) ∠A + ∠B = 180°
(d) AC = BD
Answer : (d) AC = BD
6. गुणात्मक तत्समक पहचान कौन-सा है?
What is multiplicative identity?
Answer : 1
7. 6 बराबर भुजाओं वाले बहुभुज का क्या नाम है?
What is the name of a polygon of 6 equal sides?
Answer : Regular Hexagon
8. समांतर चतुर्भुज के सम्मुख कोण …………….. होते हैं।
The opposite angles of a parallelogram are …………….
Answer : Equal
9. 5x + 9 = 5 + 3x को हल कीजिए।
Solve: 5x + 9 = 5 + 3x
Answer : 5x – 3x = 5 – 9
2x = – 4
x = –4/2
x = – 2
10. Tell what property allows you to compute 1/3 × (6 × 4/3) or (1/3 × 6) × 4/3.
Answer : Since, a × (b × c) = (a × b) × c
It is Associative property.
11. 3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
Answer : 15z – 21 – 18z + 22 = 32z – 52 – 17
15z – 18z – 21 + 22 = 32z – 69
– 3z + 1 = 32z – 69
– 3z – 32z = – 69 – 1
– 35z = – 70
z = (–70)/(–35)
z = 2
12. एक समांतर चतुर्भुज के दो आसन्न कोणों की माप 3 : 2 के अनुपात में है। समांतर चतुर्भुज के प्रत्येक कोण की माप ज्ञात कीजिए।
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
Answer : Let ABCD is parallelogram such that
∠B : ∠C = 3 : 2
Let ∠B = 3x and ∠C = 2x
∠B + ∠C = 180° (Sum of adjacent angles is 180°)
3x + 2x = 180°
5x = 180°
x = 36°
Thus, ∠B = 3 × 36° = 108°
∠C = 2 × 36° = 72°
∠B = ∠D = 108°
and ∠A = ∠C = 72°
Hence, the measures of the angles of the parallelogram are 108°, 72°, 108° and 72°.