Maths model paper grade 5

Page 1

BALOCHISTAN EXAMINATION AND ASSESSMENT COMMISSION 2016 MODEL PAPER (MATHEMATICS) Grade-5

Time:3:00Hours

Total Marks:100_

PART-1: 60 Marks (30 x 2) NOTE: Answer all questions. Select the correct option.â€ŤÚŠŘ§Ů…ŘŞŮ…ŮˆسااŮ„ŘŞŰ’ÚŠŮˆ؏ابدںŰŒŰ”Ű Ř˛ŘąŰŒ؍ڊااŮ„ا؎تŮ†ŰŒبŮˆساŮ„Ű’ÚŠŘ­ŰŒŘ­ŘľŮˆ؏اباڊاا؎تنبعڊںŰŒÚŠâ€Ź:â€ŤŮˆŮ†Ůšâ€Ź QNo.1. In the number 106,234,789, the place value of digit 1 is:â€ŤŘ§ÚŠŘ§Ů‚Ů…ŰŒŮ…ŘŞŮ…ŰŒŮ‚Ű’Ű Ű”â€Ź1â€ŤÚşŰŒŮ…â€Ź106,234,789‍دؚد‏ ‍( ڊ‏ii)one million â€ŤŘ§ŰŒŮ†ŰŒŮ„Ů…â€Ź ‍( ڊ‏iii) ten million ‍( ŘŻŘłŮ†ŰŒŮ„Ů…â€Źvi)one hundred millionâ€ŤŘ§ŰŒŮˆŘłŮ†ŰŒŮ„Ů…â€Ź ‍ڊ‏ (i)one hundred thousand â€ŤŘ§ŰŒŮˆŘłŰ Ř˛Ř§Řąâ€Ź

â€ŤŘ§ŰŒŮ†ŰŒŮ„Ů…ÚşŰŒŮ…Ű’Ů†تڊاŮ„ÚžÚŠÚşŰŒŰ Ř&#x;ڊ‏ ‍ڊڊ‏

QNo.2. How many hundred thousand in one million? (i)10 (ii) 100 (iii) 1000

(vi) 10,000

QNo.3. Five billion, sixteen thousand, nine is written in numerals as: : â€ŤŮˆŮ†ŰŒÚŠŘŻŮ†Ű ŰŒŘłŮ„ÚŠŘ´Ű’Ű â€ŹŘŒâ€ŤŮˆŘłŰ Ů„Ű Ř˛Ř§Řąâ€ŹŘŒâ€ŤŮžŘ§Ú†Ů†Ů†ŰŒŮ„ب‏ (i) 5,000,016,009 (ii) 500,016,009 (iii) 50,000,016,009 (iv) 500,000,016,009 QNo.4. 3ď‚´(9+1)-6= (i)12 (ii) 18 (iii) 22 (iv) 24 QNo.5. 935421 ď‚´ 100 = (i)9354210 (ii) 93542100 (iii) 935421000 (iv) 9354210000 QNo.6.

What is the greatest common factor (GCF) of 8 and 16 ? (i) 2 (ii) 4 (iii) 8

‍اڊاؚدامظؚاŰŒÚŠŰ’Ű Ř&#x;‏16â€ŤŘ§ŮˆŘąâ€Ź8 (iv) 12

QNo.7. Prime factors of 100 are: :‍ےڊع٠Ů…داؚدںŰŒŰ â€Ź100 (i) 2ď‚´2ď‚´5ď‚´5 (ii) 2ď‚´2ď‚´25 (iii) 4ď‚´5ď‚´5 QNo.8. The largest number which completely divides 15, 20 and 30 is: (i)2

(ii) 3

(iii) 5

(iv) 4ď‚´25

‍بزےےسبزادؚدŰ’Ű Ű”â€Ź â€ŤŮˆÚŠŮˆٞعاŮˆٞعاŮ…ŰŒŘłŮ‚ŘŞŘąÚŠŰ’Ů†ŮˆااŮ„ ڊ‏30 â€ŤŘ§ŮˆŘąâ€Ź20,15

(iv) 10

‍ ڊ‏QNo.9. 40 can be expressed as a product of primes as:‍ڊ‏ :â€ŤŘ§ŘŹŮžŘ§Ű’Ű â€Ź â€ŤŮˆڊع٠Ů…داؚدŰŒڊاحŮ„ؾع؜بŰŒÚŠŮˆؾعتںŰŒŮ…اڞڊŮ„ ڊ‏40 (i)2ď‚´2ď‚´2ď‚´5ď‚´5 (ii) 2ď‚´2ď‚´2ď‚´5 (iii) 2ď‚´2ď‚´5ď‚´5 (iv) 2ď‚´5ď‚´5ď‚´5 đ?&#x;“

QNo.10. (i)

10 3

QNo.11. 5

đ?&#x;‘



đ?&#x;?

đ?&#x;’

= (ii)

đ?&#x;“ đ?&#x;‘

+

đ?&#x;• đ?&#x;?

QNo.12. 14

(ii) đ?&#x;? đ?&#x;“

ď‚´

đ?&#x;‘ đ?&#x;•

13

(iii)

8

4

(iv)

17 2

=

(i) 2

6

15

2

5

6

5

(iii) 1

6

(iv) 5

1 6

= 15

(i) 15

QNo.13. 39.06 ď‚´ 0.333 = (i) 10.78698 QNo.14. 15.12 á 2 .4 = (i) 6.3

6

(iii) 35

(ii) 10.99788

(iii) 13.00698

(iv) 13.21788

(ii) 5.13

(iii) 0.63

(iv) 0 .513

đ?&#x;’đ?&#x;‘

QNo.15. Conversion of into decimal is: đ?&#x;?đ?&#x;Žđ?&#x;Ž (i) 4.3 (ii) 0.43

(iii) 0.043

(iv)

35

(ii) 14

6

:â€ŤŮˆÚŠŘąŘłÚŠŘ§Ř§Ř´ŘšŘąŰ ŰŒÚşŰŒŮ…اڞڊŮ„ا؏ٞاŰ’Ű â€Ź (iv) 0.0043

đ?&#x;’đ?&#x;‘ đ?&#x;?đ?&#x;Žđ?&#x;Ž

‍عسڊاؚم‏

QNo.16. Conversion of 0.0075 into percentage is: ‍ڊڊڊڊڊڊ‏:‍ اڊŮˆ؏ابدؾŰŒŮ ÚşŰŒŮ…Ű’Ű â€Ź0.0075 (i) 75% (ii) 7.5% (iii) 0.75% (iv) 0.075% đ?&#x;‘ đ?&#x;‘ QNo.17. Fraction can be written as a :‍عسڊاؚمڊڊڊڊ đ?&#x;–ÚŠÚŠÚŠÚŠÚŠ ŮˆÚŠŘŻŘľŰŒŮ ÚşŰŒŮ…اڞڊŮ„ا؏ٞاŰ’Ű â€Ź đ?&#x;– (ii) 30% (iii) 37.5% (iv) 50% percent:(i) 26.7% QNo.18. 0.62 m can be expressed in km as: :‍مز اڊŮˆ؏ابŮˆŮ„ÚŠ ÚŠŮ…زںŰŒŮ…Ű’Ű â€Ź0.62 ‍ڊڊ‏ (i) 62km QNo.19. 1 hour is equal to:

(ii) 0.062km

(iii) 0.0062km

(iv) 0.00062km ‍ڊ‏ :â€ŤŘ§ŰŒŰ ŮšŮ†ڞگبزابزŰ’Ű â€Ź

‍ڊ‏

(i) 10 minutes and 3 secondsâ€ŤÚˆŮ†ÚŠŰŒŘłâ€Ź3‍ٚنماŮˆŘąâ€Ź10 (ii) 10 minutes and 30 seconds â€ŤÚˆŮ†ÚŠŰŒŘłâ€Ź30‍ٚنماŮˆŘąâ€Ź10 (iii) 10 minutes and 300 seconds â€ŤÚˆŮ†ÚŠŰŒŘłâ€Ź300‍ٚنماŮˆŘąâ€Ź10 (iv) 10 minutes and 3000 secondsâ€ŤÚˆŮ†ÚŠŰŒŘłâ€Ź3000‍ٚنمڊاŮˆŘąâ€Ź10 1|Page


â€ŤŘŻŮˆŮ†ÚşÚşŰŒŮ…Ű’Ů†ŘŞÚŠŰ’ŘŞŮ Ű ŮˆŰ Ű’ŘŞÚşŰŒŰ Ř&#x;‏71

QNo.20. How many weeks are in 71 days? (i) 10 weeks â€ŤŰ’ŘŞŮ Ű â€Ź01(ii)

đ?&#x;?

weeks â€ŤŰ’ŘŞŮ Ű â€Ź đ?&#x;?đ?&#x;Ž

1

đ?&#x;?

10

đ?&#x;?

(iii) 10.14 weeksâ€ŤŰ’ŘŞŮ Ű â€Ź01.01 (iv) 10 weeks and đ?&#x;? day â€ŤŰ’ŘŞŮ Ű Ř§ŮˆŘąđ?&#x;?دن‏01

QNo.21. There are 10 teachers at a school. Each teacher is provided with 150 sheets of paper. How many sheets of paper is this in all?

‍ڊ‏ ‍ڊاڊذغ٠زاŮ…Ű ŰŒÚŠŰŒŘŚÚŻŰ’Ű Ű”اتبںŰŒŘŚ لڊےنتڊاڊذغ٠زاŮ…Ű ŰŒÚŠŰŒŘŚÚŻÚşŰŒŰ Ű” ڊ‏150â€ŤŘ§Ř§ŘłŘŞŘ°Ű ÚşŰŒŰ Ű”Ű Ř˛Ř§Ř§ŘŞŘłŘŻŮˆÚŠâ€Ź10â€ŤŘ§ŰŒاŮˆÚŠŘłŮ„ÚşŰŒŮ…â€Ź (ii) 1,500 (iii) 15,000 (iv) 150,000

(i)15

QNo.22. What is the value of X in the proportion 5:8 :: 15: X? :â€ŤŰŒÚŠ ŘŞŮ…ŰŒŮ‚ Ű’Ű â€ŹX‍ ÚşŰŒŮ…â€Ź5:8 :: 15: X‍انتسڊ ڊ‏ 2

3

1

(i) 2 3 (ii) 9 8 (iii) 24 (iv) 24 QNo.23. Aslam has drawn supplementary angles one of them is 600. What will be the measure

‍املسےنعٚŮ†Ů…ŰŒŮ„ٞسŰŒزاŮˆŰ’ŰŒŰ’Ú†Ů†ŰŒڞڊس؏ںŰŒŮ…Ű’Řł ڊ‏ of the other angle? â€ŤÚŠŰ’Ű Ű”ŘŻŮˆعسŰ’زاŮˆŰ ŰŒŰŒÚŠŘŻŮ‚Ů…اعاŰŒÚŠ ŮˆŰ ŰŒÚŻŘ&#x;‏600â€ŤŘ§ŰŒزاŮˆŰ ŰŒŰŒÚŠŘŻŮ‚Ů…اعڊ‏ (i) 1200 (ii) 300 (iii) 3000 (iv) 900 QNo.24. What kind of the following triangles has three equal sides and three equal angles? â€ŤŘŻŘąŘŹÚŠŘ°Ů„ŰŒÚşŰŒŮ…ŘŻ ڊاٞاŰŒÚŻŘłÚŠŘŤŮ„ŘŤŮ…Ű’ÚŠ ÚŠŘŞŮˆںااŮ„؜ؚابŮ…Ů„ŰŒŘŚÚşŰŒŮ…بزاب ڊ‏ â€ŤŘ˛Ř§ŮˆعتŮˆںززاŮˆŰ’ŰŒبزابزدعŰ’ŘŹŰ’ÚŠŮˆŰ Ű’ŘŞÚşŰŒŰ Ř&#x;‏ (i)isosceles triangle â€ŤŘ§ŘłŮ…ŮˆŰŒااسŮ„Ů†ŰŒŮ‚ŘŤŮ„ŘŤŮ…â€Ź

(ii) right angled triangle ‍اق،اازŮ„اŮˆŰ ŰŒŘŤŮ„ŘŤŮ…â€Ź

(iii) equilateral triangle ‍امتمل؍ااŮ„اŮ„؜ؚ؍ل؍م‏ (iv) scalene triangle‍٠لت؎مااŮ„اŮ„؜ؚ؍ل؍م‏ QNo.25. Which shape must have four equal sides and four right angles? â€ŤŘŻŘąŘŹŘ°Ů„ŰŒÚşŰŒŮ…Ű’سسڊŮ„ÚŠŘ´Ű’ڊاÚ†ŘąŮˆںاااŮ„؜ؚدŮ‚Ů…اعںŰŒŮ…ٞاŮ…Ű Ř¨Ř˛Ř§Ř¨Ř˛Ř§ŮˆعاÚ†ŘąŮˆںزاŮˆŰ’ŰŒاŮ‚Ű Ů…ŘŚŮˆŰ ŮžŘ§ŘąŘśŮˆŘąŰŒŰ’Ű Ř&#x; ڊ‏ (i) parallelogram‍( ŮˆŘŞŮ…ازŰŒڊااŮ„اŮ„؜ؚ‏ii) square‍عمؚب‏ (iii) rhombusâ€ŤŮ†ŰŒŘšŮ…â€Ź (iv) rectangleâ€ŤŮ„ŰŒءتسم‏ QNo.26. Which quadrilateral has two parallel and two non-parallel sides but none of the angles is 900?

â€ŤŘŻŘąŘŹŘ°Ů„ŰŒÚşŰŒŮ…Ű’سسڊŮˆÚ†ŮˆÚŠŘąŰ’ÚŠŘŻŮˆااŮ„؜ؚٞاŮ…Ű ŮˆŘŞŮ…ازŰŒاŮˆŘąÚŠŘŻŮˆااŮ„؜ؚعŰŒŘşŮˆŘŞŮ…ازŰŒÚşŰŒŰ Ű”Ů†ÚŠŰŒŮ„ŮˆÚŠŰŒŘŚŰŒڞبزاŮˆŰ ŰŒاŮ‚Ű Ů…ŘŚÚşŰŒŰ Ů†Ű’Ű Ř&#x; ڊ‏ (i) parallelogram‍( ŮˆŘŞŮ…ازŰŒڊااŮ„اŮ„؜ؚ‏ii) rhombusâ€ŤŮ†ŰŒŘšŮ…â€Ź

(iii) rectangleâ€ŤŮ„ŰŒءتسم‏

(iv) trapeziumâ€ŤŘ°ŮˆŘ°Ű Ů‚Ů†â€Ź

QNo.27. The formula of finding perimeter of a square is: :â€ŤŘąŮ…ŘšŘ¨Ř§ÚŠŘ§Ř§Ř­Ű ŘˇŮˆŮ„ŘšŮ…Ů…ŘąÚŠŰ’Ů†Ř§ÚŠŰ ŰŒŮ„ÚŠŰ’Ű â€Ź (i) 2(l+b) (ii) lď‚´b (iii) 4l (iv) l2 QNo.28. If the length of one side of a square is 4cm, then the length of remaining each side will be:

â€ŤŘ§ŰŒŘąŮ…ؚبŮ„ÚŠŘ´Ű’ÚŠ ڊ‏ ‍ڊ‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠŮ…زŰ’Ű Ű”ŮˆتاسŰ’ڊٞاŰŒŮ‚Ű Ř˛ŘšŮ„ŘśŰŒڊابŮ…Ů„ŰŒŘŚŮˆŰ ŰŒÚŻŰ”â€Ź4â€ŤŘ§ŰŒŘšŮ„ŘśŰŒڊابŮ…Ů„ŰŒŘŚâ€Ź (i) 2cm ‍مڊڊڊ‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠ ز‏ (ii) 4cm‍م‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠ ز‏ (iii) 16cm‍م‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠ زڊ‏ (iv) 32cm‍م‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠ زڊ‏ QNo.29. What is the perimeter of the rectangle whose length is 8cm and breadth is 2cm

â€ŤÚŠŰŒŮšŮ†ŰŒŘł ÚŠŮ…زŰ’Ű Ř&#x;‏2â€ŤŰŒŮšŮ†ŰŒŘł ÚŠŮ…زاŮˆŘąŮˆÚ†Ú‘اŰŒŘŚâ€Ź8â€ŤŮ„ŰŒءتسŮ…Ř§ÚŠŘ§Ř§Ř­Ű ŘˇŘ§ŰŒÚŠŮˆŰ Ř§ÚŻŘłŘŹŰŒڊابŮ…Ů„ŰŒŘŚâ€Ź (i) 20 centimeters ‍(ŰŒŮšŮ†ŰŒŘł ÚŠŮ…ز‏ii) 16 centimeters‍مز‏ ‍( ŰŒŮšŮ†ŰŒŘł ÚŠ ڊ‏iii) 10 centimeters‍مز‏ ‍( ŰŒŮšŮ†ŰŒŘł ÚŠ ڊ‏iv) 8 centimeters‍مز‏ â€ŤŰŒŮšŮ†ŰŒŘł ÚŠ ڊ‏ QNo.30. The average of 8, 10, 15 and 27 is? â€ŤŰŒڊاŮˆءساŰŒÚŠŮˆŰ ŰŒÚŻŘ&#x;‏22â€ŤŘ§ŮˆŘąâ€Ź01ŘŒ01ŘŒ8â€ŤŘŻŘąŘŹŘ°Ů„ŰŒÚşŰŒŮ…ÚŠâ€Ź (i) 24 (ii) 15 (iii) 0.67 (iv) 240 PART-2: 40 Marks (10 x 4)

NOTE: Write a short answer of 10 questions of the following â€ŤŘŻŘąŘŹŘ°Ů„ŰŒÚşŰŒŮ…Ű’سعؾ٠دسŰ’ڊعؾت؎Ů…Ůˆ؏اٞاتدںŰŒâ€Ź:â€ŤŮˆŮ†Ůšâ€Ź ‍ڊڊ‏QNo.31. Subtract 322,084,237 from 423,765,238

‍ Ű’سع٠تŮ‚ŰŒŘąÚŠÚşŰŒŰ”â€Ź423,765,238â€ŤŮˆÚŠÚŠâ€Ź322,084,237 QNo.32. Simplify 12 – { 4 + ( 15  3)} ‍ ŮˆÚŠŮ„Ř­ŘąÚŠÚşŰŒŰ”â€Ź12 – { 4 + (15  3)} QNo.33. Find LCM of 10, 15, 20 and 21 by division method.â€ŤŘ§ÚŠŘ°Ůˆااؚ؜٠اŮ„Ů‚Ů…ŰŒŘłŮ‚ŘŞŰ’ڊعءŰ’Ů‚ŰŒŰ’ŘłŮˆŮ„ŘšŮ…Ů…ŘąÚŠÚşŰŒŰ”â€Ź21â€ŤŘ§ŮˆŘąâ€Ź20,15,10 đ?&#x;?đ?&#x;?

đ?&#x;?

đ?&#x;?đ?&#x;?

đ?&#x;?

QNo.34. Solve  đ?&#x;‘ ‍ ŮˆÚŠŮ„Ř­ŘąÚŠÚşŰŒŰ”â€Źď€­ đ?&#x;“ đ?&#x;“ đ?&#x;‘ QNo.35. Write each value as a fraction: (i) 0.02 = __________ (ii) 8%= __________ QNo.36. Solve 2.8 ď‚´ (3.2  5.7  2.5)

â€ŤŘŻŘąŘŹŘ°Ů„ŰŒŮˆڊعسڊاؚŮ…ÚşŰŒŮ…دبتŮ„ŰŒŘąÚŠÚşŰŒŰ”â€Ź

‍ ŮˆÚŠŮ„Ř­ŘąÚŠÚşŰŒŰ”â€Ź2.8 ď‚´ (3.2  5.7  2.5)

QNo.37. Add 34km 660m and 10km 340km â€ŤŮ…ÚşŰŒŮ…ŘšŮ…ŘŹŘąÚŠÚşŰŒŰ”â€Ź ‍ ÚŠ ز‏340â€ŤŮˆŮ„ÚŠŮ…â€Ź ‍ ÚŠ ز‏10â€ŤŮ…ŮˆÚŠâ€Ź ‍ ÚŠ ز‏660â€ŤŮˆŮ„ÚŠŮ…â€Ź ‍ ÚŠ ز‏34 QNo.38. In June 21st, the maximum temperature of Quetta was 44.30C and in June 22nd, it increased to 490C, find the increase in temperature. o â€ŤÚŠŮˆŰ Ř§ŰŒÚŻŰ”ŘŻŘąŰ ŘŹŘąŘ­Ř§ŘąŘŞÚşŰŒŮ…Ř§Ř§ŘśŰ Ů ŮˆŮ„ŘšŮ…Ů…ŘąÚŠÚşŰŒŰ”â€Ź940۰‍عڊڊڊ‏ C â€ŤŮˆŘŹŮ†ŮˆÚŠŰ ŰŒبزڞ‏22â€ŤŘ§ÚžŘŞŘ§ŮˆŘąâ€Ź44.3 Câ€ŤÚŠŮˆŘŹŮ†ŮˆÚŠŮˆÚŠŰ ŮšŘŚÚşŰŒŮ…ز ÚŠŮžŘ§ŘŻŰ Ű’سز ÚŠŮžŘ§ŘŻŰ ŘŻŘąŰ ŘŹŘąŘ­Ř§ŘąŘŞâ€Ź21

2|Page


QNo.39. The price of 24 balls is Rs.96. Find the price of 16 such balls.‫دنیگوںیکتمیقولعممرکںی۔‬69‫روےپوہوت‬49‫دنیگوںیکتمیق‬29 QNo.40. Use protractor to construct a right angle. ‫رپورٹرٹکی)ڈی(یکدمدےساقہمئزاوہیانبںیئ۔‬ QNo.41. Construct an equilateral triangle ABC, whose each side length is 4.5cm. ‫موہ۔‬ ‫یٹنیس ک ز‬4.5‫ہعلضیکابملیئ‬ ‫انبںیئسجےک ز‬ABC‫ااسیامتملثاالالضعثلثم‬ QNo.42. Find the area of a square, whose each side length is 3meter? ‫موہ۔‬ ‫یٹنیس ک ز‬3‫ہعلضیکابملیئ‬ ‫رمیعبالعےقاکرہبقولعممرکںی۔سجےک ز‬ ‫ ک‬QNo.43. Define hypotenuse of a right angled triangle?‫ک‬ ‫اقئاازلاوہیثلثمےکوبزیکیرع فرکںی۔کک‬ QNo.44. If sum of the observations is 770 and total number of observations is 55. Find the average of the observations?‫ک‬

‫وہوتاشمدہاتیکاوطسولعممرکںی۔‬55‫اوراشمدہاتیکدعتاد‬770‫ارگ اشمدہاتاکومجمہع‬

QNo.45. Define Data. ‫ڈاٹییکیرع فرکںی۔‬

Good Luck

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