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#### 8th Term 3 SA Model Test 2019

8th Standard

Reg.No. :
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Maths

Time : 02:15:00 Hrs
Total Marks : 60

10 x 1 = 10
1. There are 5 oranges in a basket of 25 fruits. The percentage of oranges is ___

(a)

5%

(b)

25%

(c)

10%

(d)

20%

2. ${2\over 25}=...........$%

(a)

25

(b)

4

(c)

8

(d)

15

3. The price of a scooter was Rs.34,000 last year. It has increased by 25% this year.Then the increase in price is _______.

(a)

Rs.6,500

(b)

Rs.8,500

(c)

Rs.8,000

(d)

Rs.7,000

4. A man saves Rs. 3,000 per month from his total salary of Rs 20,000. The percentage of his savings is _______

(a)

15%

(b)

5%

(c)

10%

(d)

20%

5. ______ = Marked Price – Discount.

(a)

Cost price

(b)

Selling price

(c)

List price

(d)

Market price

6. The tax added to the value of the product is called ______ Tax.

(a)

Sales Tax

(b)

VAT

(c)

Excise Tax

(d)

Service Tax

7. If the S.P. of an article is Rs. 240 and the discount given on it is Rs. 28, then the M.P. is _______.

(a)

Rs. 212

(b)

Rs. 268

(c)

Rs. 228

(d)

Rs. 258

8. The point of concurrency of the angle bisectors of a triangle is known as

(a)

incentre

(b)

circle centre

(c)

orthocentre

(d)

centroid

9. The point of concurrency of the perpendicular bisectors of a triangle is known as

(a)

incentre

(b)

circumcentre

(c)

orthocentre

(d)

centroid

10. The _______ of a circle is the distance from the centre to the circumference.

(a)

sector

(b)

segment

(c)

diameters

(d)

11. II. Answer the all questions:

10 x 2 = 20
12. The price of a house is decreased from Rupees Fifteen lakhs to Rupees Twelve lakhs. Find the percentage of decrease

13. Two persons A and B are engaged in a work. A can do a piece of work in 12 days and B can do the same work in 20 days. They work together for 3 days and then A goes away. In how many days will B finish the work?

14. Vinodh purchased musical instruments for Rs. 12,000. If the rate of sales tax is 8%, find the sales tax and the total amount paid by him.

15. A refrigerator is purchased for Rs. 14,355, including sales tax. If the actual cost price of the refrigerator is Rs. 13,050, find the rate of sales tax.

16. Hameed buys a colour T.V set for Rs.15,200 and sells it at a loss of 20%.What is the selling price of the T.V set?

17. From the figure PT is an altitude of the triangle PQR in which PQ = 25cm, PR = 17cm and PT = 15 cm. If QR = x cm. Calculate x.

18. The marks obtained by 50 students in a Mathematics test with maximum marks of 100 are given as follows
43, 88, 25, 93, 68, 81, 29, 41, 45, 87, 34, 50, 61, 75, 51, 96, 20, 13, 18, 35,
25, 77, 62, 98, 47, 36, 15, 40, 49, 25, 39, 60, 37, 50, 19, 86, 42, 29, 32, 61,
45, 68, 41, 87, 61, 44, 67, 30, 54, 28.
Prepare a frequency table for the above data using class interval.

19. Draw a frequency polygon for the following data using histogram

 Marks Number of Students 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 5 4 6 8 5 7 4 9 5 7
20. The average height of 10 students in a class was calculated as 166 cm. On verification, it was found that one reading was wrongly recorded as 160 cm instead of 150 cm. Find the correct mean height.

21. Find the mode of 2, 4, 5, 2, 1, 2, 3, 4, 4, 6, 2.

22. III. Answer the all questions:

10 x 3 = 30
23. Three men A, B and C can complete a job in 8, 12 and 16 days respectively. A and B work together for 3 days; then B leaves and C joins. In how many days, can A and C finish the work?

24. A tap can fill a tank in 15 minutes. Another tap can empty it in 20 minutes. Initially the tank is empty. If both the taps start functioning, when will the tank become full?

25. A school cricket team played 20 matches against another school.The first school won 25% of them.How many matches did the first school win?

26. The selling price with VAT, on a cooking range is Rs. 19,610. If the VAT is 6%, what is the original price of the cooking range?

27. Check whether the following can be the sides of a right angled triangle AB = 25 cm, BC = 24 cm, AC = 7cm

28. Find the altitude of an equilateral triangle of side 10 cm.

29. On a particular day, the sales (in RS ) of different items of a baker’s shop are given below. Draw a pie chart for this data.

 Item Cost(RS) Ordinary bread Fruit Bread Cakes Biscuits Others 320 80 160 120 40
30. The average height of 20 students in a class was calculated as 160 cm. On verification it was found that one reading was wrongly recorded as 132 cm instead of 152 cm. Find the correct mean height.

31. The hearts of 60 patients were examined through X-ray and the observations obtained are given below:

 Diameter of heart(in mm) 130 131 132 133 134 135 Number of patients 7 5 4 3 13 8
32. Draw concentric circles for the following measurements of radii. Find out the width of each circular ring. 3.5 cm and 5.5 cm