Final Series Paper 1
Q.1. Out of 180000 tablets of vitamin A, 18734 are distributed among the students in a district. Find the number of the remaining vitamin tablets.
Q.2. Name the line segments in the figure. Is ‘A’ the end point of each line segment?
Q.3. Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
Q.4. Express 6.03 as a mixed fraction.
Q.5. Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
Q.6. A bird flies 1 km in one minute. Can you express the distance covered by the bird in terms of its flying time in minute? (Use t for flying time in minute).
Q.7. Estimate the following products:
(a) 87 × 313 (b) 9 × 795 (c) 898 × 785 (d) 958 × 387
Make five more such problems and solve them
Q.8. Ansh had ₹ 610000. He gave ₹ 87500 to Vani, ₹ 126380 to Daksh and ₹ 350000 to Rashi. How much money was left with him?
Q.9. Write the predecessor of:
(a) 94 (b) 10000 (c) 208090 (d) 7654321
Q.10. The area of a rectangular garden 50 m long is 300 sq. m. Find the width of the garden.
Q.11. Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of:
(a) Number of students liking football to number of students liking tennis.
(b) Number of students liking cricket to total number of students.
Q.12. (a) In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.
(b) Find the number of symmetries in each of the following shapes. How will you check your answer?
Q.13. Following bar graph shows the number of houses (out of 100) in a town using different types of fuels for cooking. Read the bar graph and answer the following questions:
(Scale: 1 unit
length = 5 houses)
(a) Which fuel is used in maximum number of houses?
(b) How many houses are using coal as fuel?
(c) Suppose that the total number of houses in the town is 1 lakh.
From the above graph estimate the number of houses using electricity.
Q.14. Find the product by a suitable rearrangement:
(a) 2 × 1768 × 50 (b) 4 × 166 × 25 (c) 8 × 291 × 125
(d) 625 × 279 × 16 (e) 285 × 5 × 60 (f) 125 × 40 × 8 × 25
Q.15. Write the smallest five-digit number and express it in the form of its prime factors.
Q.16. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from?
(a) 3 to 9 (b) 4 to 7 (c) 7 to 10 (d) 12 to 9
(e) 1 to 10 (f) 6 to 3
Q.17. Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation):
Q.18. The sale of electric bulbs on different days of a week is shown below:
Observe the pictograph and answer the following questions.
(a) How many bulbs were sold on Friday?
(b) On which day were the maximum number of bulbs sold?
(c) On which of the days same number of bulbs were sold?
(d) On which of the days minimum number of bulbs were sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?
Q.19. A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room?
Q.20. Gappu earns ₹ 24000 in 8 months. At this rate.
(a) how much does he earn in one year?
(b) in how many months does he earn ₹ 42000?
Q.21. Given AB of length 3.9 cm, construct PQ such that the length of PQ is twice that of AB. Verify by measurement.
Q.22. A factory has a container filled with 35874 L of cold drink. In how many bottles of 200 mL capacity each, can it be filled?
Q.23. Draw a circle of radius 6 cm, using ruler and compass. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?
Q.24. The length and breadth of a school ground are 150 m and 90 m respectively, while the length and breadth of a mela ground are 210 m and 126 m. respectively. Are these measurements in proportion?
Q.25. Change the following statements using expressions into statements in ordinary language. (For example, Given Jai scores r runs in a cricket match, Tanay scores (r + 15) runs. In ordinary language. Tanay score 15 runs more than Jai.)
(a) A notebook costs ₹ p. A Book costs ₹ 3 p.
(b) Tanu puts q marbles on the table. She has 8 q marbles in his box.
(c) Our class has n students. The school has 20 n students.
(d) Balu is z years old. His uncle Malu is 4z years old and his aunt Chalu is (4z – 3) years.
(e) In an arrangement of dots there are r rows. Each row contains 5 dots.
Q.26. How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively.
(a) 100 cm and 144 cm (b) 70 cm and 36 cm.
Q.27. Given AB of length 7.3 cm and CD of length 3.4 cm, construct a line segment XY such that the length of XY is equal to the difference between the lengths of AB and CD. Verify by measurement.
Q.28. A mobile number consists of ten digits. First four digits are 9,9,7 and 9., Make the smallest mobile number by using only one digit twice from 8, 3, 5, 6, 0.
Q.29. My elder sister divided the watermelon into 16 parts. I ate 7 out of them. My friend ate 4. How much did we eat between us? How much more of the water melon did I eat than my friend? What portion of the watermelon remained?
Q.30. The bar graph given below represents approximate length (in kilometres) of some National Highways. in India. Study the bar graph and answer the following questions:
Scale: 1 unit length = 200 km
(a) Which National Highway (N.H.) is the longest among the above?
(b) Which National Highway is the shortest among the above?
(c) What is the length of National Highway 9?
(d) Length of which National Highway is about three times the Nation Highway 10?
Online Tuitions & Self-Study Courses for Grade 6 to 12 & JEE / NEET