Question 1 : Write an equation for the following :One-fourth of a number x minus 4 gives 4.

Question 2 : Check whether the value given in the bracket is a solution to the given equation or not: $4p – 3 = 13 (p = 0)$

Question 4 : Check whether the value given in the bracket is a solution to the given equation or not: $7n + 5 = 19 (n = – 2)$

Question 6 : All the rectangles equal in area are congruent. State True or False.

Question 7 : A garden is 90 m long and 75 m broad. A path 5 m wide is to be built around it. Find the area of the path. Also find the area of the garden in hectare.

Question 8 : The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length.

Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff4.PNG' /> In the given figure, DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is $1470 cm^{2}$, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

Question 10 : A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.

Question 12 : Fill in the blanks with <, > or $=$ sign,10,000 ________$10^5$

Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cafcf59b460d7261ebaf.png' /> In the above figure, state whether it has rotational symmetry of order more than 1 or not.

Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ab378c526e972caf023.PNG' /> From the above figure, does the image has rotational symmetry of order more than 1?

Question 19 : What is the order of rotation for an equilateral triangle respectively?

Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1caf4f59b460d7261eba5.png' /> In the above figure, how many lines of symmetry are there ?

Question 21 : One of the angles of a triangle is $80^{\circ}$ and the other two angles are equal. Find the measure of each of the equal angles.

Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c974f59b460d7261e9a9.png' /> You want to show that $\triangle ART \cong \triangle PEN$.(see the above image)If it is given that AT = PN and you are to use ASA criterion, you need to have

Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c94ff59b460d7261e97d.png' /> In the above image, AD = CD and AB = CB. State the pairs of equal parts in $ \triangle ABD$ and $ \triangle CBD$.

Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca16f59b460d7261ea7f.png' /> In the above image, find $m \angle P$.

Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c96ef59b460d7261e9a3.png' /> Which congruence criterion do you use in the following?(see the image) Given: AC = DF, AB = DE, BC = EF so, $\triangle ABC \cong \triangle DEF$.

Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c935f59b460d7261e959.png' /> In the above figure, QS ⊥ PR, RT ⊥ PQ and QS = RT. Is ∠ PQR = ∠ PRQ?

Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca27f59b460d7261ea96.png ' /> From the above image, in triangle PQR, D is the mid-point of QR. Is QM = MR?

Question 28 : For a scalene triangle all the altitudes and medians are different. Is it true?

Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca79f59b460d7261eb05.png' /> In the above image, we want to show that ΔART $\cong$ ΔPEN, if it is given that AT= PN and we are to use ASA criterion, we need to have _____.

Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca73f59b460d7261eafc.png' /> In the above image, AC = DF, AB = DE, BC = EF. So, ΔABC $\cong$ ΔDEF. Which congruence criterion do we use in the above congruency ?