Sukhoi Academy
Candidate’s Name ___________________________________________________________
Class ________________________________ Section _______________________________
Mock Test – 1
1. Find the least number which when divided by 8, 14, 20 &
25 leaves 4 as remainder in each case.
2. By reducing the selling price of an article by 50 dollars, a
gain of 5% turns into a loss of 5%. Find the original selling
price of the article.
3 2
3. If 5 th of a number exceeds its 7 th by 44, find the
number. 13. If line PR & ST are parallel to each other, find the
value of angle 𝑥.
4. Abhimanyu weighs 56.7kg. If he reduces his weight in
the ratio 7:6. Find his new weight.
4
5. Tanmaya was asked to multiply a given number by 5.
4
By mistake, he divided the number by 5 . His answer was
36 more than the correct answer. What was the given
14. A cat is walking on the periphery of a regular
number?
polygon, as shown below, if it starts from point S, in the
clock wise direction, which side will the cat reach after
6. On selling 33 meters of cloth, Vishal obtains a profit 18
equal to the selling price of 11 meters of same cloth. walking distance on the periphery?
25
Find the profit percentage?
7. Factorise: - 𝑥 3 − 𝑥 2 + 𝑎𝑥 + 𝑥 − 𝑎 − 1
8. Each interior angle of a regular polygon is 144°. Find
the interior angle of a regular polygon which has double
the number of sides as in the first polygon.
15. In the image given below, if the radius of all the
9. Area of a square is 16cm2. Find the area of the square large circles is r, then what is the radius of the inner
joining the mid points of the sides. smaller circle?
10. Factorise: - 12𝑥 2 − 17𝑥𝑦 + 26𝑦 2
11. Divide: - 𝑥 4 − 𝑦 4 𝑏𝑦 (𝑥 − 𝑦)
12. The first figure given below shows a wire in circular
shape with the radius of 80cm. Shyam cut out an arc
16. In a family, the father took ¼ of the cake and he had
from wire such that the arc makes an angle of at the
3 times as much as others had. The total number of
centre. If this arc is again bent in circular shapes as
family member is.
shown in the second picture. Find the radius of the new
circle.
17. Factorise: - (𝑎 + 𝑏)(𝑥 + 𝑦) + (2𝑎 + 3)(𝑥 + 𝑦) − (3𝑎 +
4𝑏)(𝑥 + 𝑦)
18. Two adjacent angles of a parallelogram are in the (iv) The subject in which marks obtained are 22.2% is.
ratio of 2:3. Find the measures of all the angles of the (v) The difference of marks between English & Science is
parallelogram. the same as between which two other subjects.
19. Find the largest four-digit number which is exactly
divisible by 459.
20. In what time will the simple interest on a certain sum
25 3
of money at % per annum be th of itself?
4 8
21. Simplify 23𝑥 − [15𝑦 − {4𝑦 − 2(3𝑥 − 2𝑦) − 3(3𝑥 −
2𝑥 − 𝑦)}]
22. Three cubes of silver with edges 3cm, 4cm and 5cm
are melted and recast into a single cube. Find the cost of
coating the entire surface of the new cube with gold the
28. A wall 4.84 m long and 3.1 m high is to be covered
rate of 350 per square centimetre.
both sides with rectangular tiles of size 22cm×10cm.
Find the total cost of the tiles at the rate of 12 per tile.
23. Find the value of
𝑘+𝑛
𝑥 𝑚 𝑚+𝑛 𝑥 𝑛 𝑚+𝑘 𝑥 𝑘
(a) ( 𝑥 𝑛 ) (𝑥 𝑘 ) (𝑥 𝑚) 29. After allowing a discount of 10% on M.P., a
shopkeeper charges 540 for a watch. Had he not allowed
1 1
(b) + any discounts, he would have made a profit of 20%.
1+𝑥 𝑚−𝑛 1+𝑥 𝑛−𝑚
What was the C.P. of the watch?
24. Divide 1200/- into two parts such that the simple 30. Find the measure of each lettered angle.
interest on the first part for 2 yrs at 6% per annum is
equal to the simple interest on the second part for 3 yrs
at 8% per annum.
3
25. Shyam completes a journey of 360km in 5 4 hours by
a car. If he covers the first three – fourth of the journey
at 60km/hr, find the speed of the car for the balance of
the journey.
26. What number should be added to each to each of
the number 3, 5, 16 and 19 so that the resulting
numbers may be in proportion?
27. The following graph gives the marks scored by a
student in different subjects, English, Hindi,
Mathematics, Science and Social Science in an
examination. Assuming that the total marks obtained for
the examination are 540, answer the question below: -
(i) The marks scored in English, Science and Social
Science exceeds the marks scored in Hindi and
Mathematics by: how much?
(ii) The marks scored in Hindi and Mathematics exceeds
the marks scored in English and Social Science by how
much?
(iii) The subjects in which the student scored 105 marks
is.
