The Little Scientist Season 3

About  program

Title:

Little scientist (Quiz competition)

Competition objectives:

Ø   Give opportunity to learn mathematical basics

Ø   Promote quality education

Ø   Awareness about upcoming high education challenges

Ø   Go through different solution methods

Participation criteria

 Students of grade 6th, 7th, and 8th, of any government, private, AKES and semi government school of Gilgit -Baltistan can participate.

v  It is important to remember that the competition is between students not schools and this is important to know by both the students and schools, from where any student has participating.

Competition Theme

v  Basics of mathematics (middle level)

Topics

  1. Fractions
  2. Percentage
  3. Ratio and proportion
  4. Algebra
  5. Sets
  6. Real number
  7. Basic Operations ( Addition , Subtraction , Multiplication  ,Division )

Suggested books

Mathematics book  class 6,7,8 (Oxford , Gohar , Maze , Punjab Text Book etc) 

Medium

English

Prizes

v  Cash prize for  jackpot  winner is 100,000

v  Cash prize for Treasury Hunt winner is 30000

Others prizes/scholarships are given to top 3 participants

Competition rounds

  1. Take your pick round

§  Select one topic from 07  given topics

§  There will be three questions from each participant

§  Available time for one question is 25 sec

2. Rapid fire round

§  Questions will be from random Topics

§  There will be 4 questions from each participant

§  Available time for one question is 20 sec

3.Treasure hunt round

§  Questions will be from random Topics

§  There will be 5 questions from each participant

§  Available time for one question is 18 sec

§  The participant who win the Treasure hunt round will awarded RS:30,000

4.Jackpot round

§  Only the one who won treasure hunt round will be eligible to play jackpot round

§  The awarded prize  in jackpot round is maximum 100,000 thousand

Registration

Last date for registration  is  25 December -  2022

Competition venue will be decided soon.

v   Transportation will be your own basis 

  Any other information cont.at 03555727725,03145369446

Pattern

Examples of quiz questions

 Topic: Algebra                       

1.      Evaluate the Algebraic Expression for the given value of X=5.        3(X-6)?

a.      38                                b. -3                 c.-38                d. -48

2.      Use the correct order of operation evaluate the following expression for a=2

a + (6×8) - (1×2).

a.       -6a                                  b. 46                c. 48                 d. 62

3.      Two Times a number plus 9.

a. 2+5x                  b. 2x+9            c. 29+x             d. 9x+2

4.      Evaluate 12(x-t), if x=7 and t=2.

a.      17       b.  168             c. 60                 d. 82

5.      The value of X = ?       10+6x+2x=18

a.      1                                 b.  3                 c. 5                   d. 7

6.      Evaluate k+10 when k=25.

a.      25                   b. 3                  c.35                 d.10

7.      Evaluate for x=8 and y= 10 then, 3x+2y

a.      40                   b. 42                            c. 41                             d. 44

8.      Solve -7x=105

a.      -12                             b. -13                           c. -14               d. none of these

9.      The Square root of 49 is.

a.      4                     b.5                               c. 7                               d. 8

10.  An algebraic expression containing three terms is called?

a. Monomial        b. Trinomial    c. Binomial      d. All of these

11.  Numbers of terms in the expression 2x+5xy+3z is

a.      2                        b. 3                           c. 4                               d. 5

12.  The subtraction of five times of y from x is….

a.      5x-y                b. Y-5x                         c. X-5y                          d. 5y-x

13.  Co-efficient of x in -9px is ……

a.      9px                 b. -9px                         c.9                               d. -9

14.  Evaluate the Algebraic Expression for the given value of X=4.        3(X-6)?

b.      38                                b. -3                 c.-6                  d. -48

15.  Use the correct order of operation evaluate the following expression for a=4

a + (6×8) - (1×2).

b.       -6a                                  b. 50                c. 48                 d. 62

16.  Two Times a number plus 9.

a. 2+5x                  b. 2x+9            c. 29+x             d. 9x+2

17.  Evaluate 12(x-t), if x=7 and t=2.

b.      17       b.  168             c. 60                 d. 82

18.  The value of X = ?       10+6x+2x=18

b.      1                                 b.  3                 c. 5                   d. 7

19.  Evaluate k+10 when k=25.

b.      25                   b. 3                  c.35                 d.10

20.  Evaluate for x=8 and y= 10 then, 3x+2y

b.      40                   b. 42                            c. 41                             d. 44

21.  Solve -7x=105

b.      -12                             b. -13                           c. -14               d. none of these

22.  The Square root of 49 is.

b.      4                     b.5                               c. 7                               d. 8

23.  An algebraic expression containing three terms is called?

a. Monomial        b. Trinomial    c. Binomial      d. All of these

24.  Numbers of terms in the expression 2x+5xy+3z is

b.      2                        b. 3                           c. 4                               d. 5

25.  The subtraction of five times of y from x is….

b.      5x-y                b. Y-5x                         c. X-5y                          d. 5y-x

26.  Co-efficient of x in -9px is ……

b.      9px                 b. -9px                         c.9                               d. -9

Topic (Percentage)

1)      What percent of 1 hour is 15 minutes? 

a)       50%                        b)15%                                   c)75%                    d)25%

2)      The price of a T-shirt was $20. It was first increased by 20%. They did not sell well the shop owner decreased the price by 20%. What is the new price of the T-shirt? 

a)       $20                         b) $22                    c) $21                                   d) $19.20

3)      The original price of a toy was $30. If the price is reduced by 30%, what is the new price of the toy? 

a)       $12                         b) $9                      c) $14.80                              d) $5

4)      If a number is 15, what is 50% of the number? 

a)       7.5                          b)50                       c). 5000                                 d). 50

5)      30% of 30 =

a)       900                         b). 9%                    c).9                         d). 90,000

6)      If you change the decimal 0.6 to a percent what would be the correct amount?

a)       6%900                   b). 60%                 c). 0.6%                                d). 600%

7)      9% expressed as a decimal is HYPERLINK "https://www.helpteaching.com/questions/800551/9-expressed-as-a-decimal-is"               HYPERLINK "https://www.helpteaching.com/questions/800551/9-expressed-as-a-decimal-is".

a)       9.0                          b). 0.09                c). 0.009                               d). 9.00

8)      The art club had an election to select a president. 7 out of the 10 members of the art club voted in the election. What percentage of the members voted?

a)       80%                       b). 60%                 c). 50%                                 d). 70%

 

9)      26 out of the 52 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?

a)       40%                        b). 60%                 c). 50%                  d). 70%

10)   This morning, Heera took a history test. She got 27 problems right and 9 problems wrong. What percentage did Heera get right?

a)       65%                       b). 75%                 c). 55%                  d). 85%

11)   What is the fraction of 25%?

a)       1/5                         b). 1/3                   c). ¼                       d). 1/2

12)   Decimal of 10%=

a)       0.1                          b). 0.2                    c). 0.5                    d). 0.10

13)   Percentage of 1/5=

a)       25%                        b). 20%                 c). 30%                  d) 35%

14)   Mr. Shukoor saves 33 % of his income, what percent of his income does he spends?

a)       77%                        b). 67%                 c). 57%                  d). 47%

15)   In a school there are 1500 students some are boys and some are girls. If the number of boys is 75 %, calculate the number of girls.

a)       600                         b). 375                   c). 500                   d). 400

Topic: sets

1)      Set A subset of B then AUB is?

a.       Set A                      b. set B                 c. set A and B                     d. none of these

2)   If A has m elements and B has n elements, then A x B has elements?

a.       m X  n              b. m-n              c. mn X nm                   d.2n

3)      The intersection of sets A and B is expressed as ?

a.       A X B               b. AB                           c.AUB              d. A ∩ B

4)      Every set is a ___________ of itself a.       Compliment     b. Null set        c. Proper subset            d. improper subset 5)      Individual Objects in a set are called?

a.      Element          b. set               c. list                           d. above

6)      If A = {3, 6, 9, 12} and B = {6, 8, 9} then intersection of A and B is

a.      {3, 6}             b. {3, 12}       c. {6, 9}         d. {9, 12}

7)      A set with no elements is

a.      a subset       b. a universal set   c. a null set  d. a superset

8)      Number of elements in set of "odd numbers between 10 and 26" are

a.      8                 b.3              c.7               d.5

9)       Elements in set {Vowels in word "MATHEMATICS"} are

a.       {A, E, I}          b. {A, O, U}     c. {A, I, U}      d. one of above

10)  Set A – U set =? a.       Empty set         b. Subset         c. Universal set (U)       d. Infinity set

TOPIC: Fraction  

1.       Fraction means?

a.       break down of single fraction      b) adding of 2 numbers     c) dividing of 2 numbers

2.       fraction has ____ types

a.       2              b)            3              c) 4

3.       1/6=

a.       (1/2)-(1/3)          b) 1/2+1/3           c) 6

4.       quotient is a\an

a.       expression          b) fraction           c) polynomial

5.       quotient is indicated by

a.       /              b) X        c) bar

6.       if p/q is a fraction then q must not be

a.       0             b) 1        c) 3

7.       x X x/2 is

a.       Proper                  b) Improper       c) Rational

8.       2/x is

a.       Proper                  b) Improper       c) rational

9.       p/q is

a.       identity                b) zero                  c) fraction

10.   L.C.M of 1/6 and ½ =

a.       5                              b) 6                        c) 12

11.   The sum and difference of the two fractions is

 1/6 and 1/8?

a.       7/24 and 1/24                    b) 24/7 and 6/3                                 c) 1/24 and 6/3

12.   When single fraction is broken down it forms

a.       proper fraction                  b) improper fraction                       c) component fraction

13.   x  X  x + 6x +3 is

a.       fraction                                b) expression                                    c) number

14.   33/6=

a.       27                           b) 11/2                  c) 14/2

15.   L.C.M of 1/2 and 1 is

a.       1                              b)2                         c) 3

Topic: Ratio

1. What is the ratio of 1 hour to 300 seconds?

a)       (12:1)                    b) (7:1)                 c) (3:2)                  d) (1:5)

2)      Win / loss ratio for two terms are A, 5:2 and B, 7:3 which term has better record……?

a)B                                                         b) a                        c) both                  d) none of these

3)      What is the unit of ratio?

a)       Percentage                         b) Volume                           c) Area                  d) No Unit

4)      If 6 men can do a piece of work in 20 days, how many extra men should be engaged to do the job in 15 days?

a)       a)5                                                                          b) 2                        c) 20                       d) 15

5)      An agent gets commission of Rs. 1000 for selling goods worth Rs. 10000. How much commission will he get for selling goods worth Rs. 150000?

a)       15                           b) 150                    c) 1500                  d) 15000

6)      The cost of five meter of cloths is Rs. 300 how many meter of same cloth can be purchased for Rs. 180.

a)       1                              b) 9                        c) 3                         d) 5

7)      If 7 sheets of paper weigh 28 grams, calculate how many sheets of  the same paper would weigh 2.5 Kg

a)       625                         b)256                     c) 562                    d) 652

8)       3 Kg bags of potatoes cost is 1.50 dollars. What does a 7 Kg bag cost?

a)       4 dollar                                 b) 3.5 dollar                        c) 5 dollar                            d) 8 dollar

9)      If sadia can iron 5 shirts in 7 minutes how long will she take to iron 35 shirts?

a)       35                           b) 45                      c) 46                       d) 49

10)   In 70 liter of the mixture of milk and water the amount of pure milk 56 liter. Find the ratio of milk to water in the mixture.

a)       1:1                          b) 2:1                     c) 3:1                     d) 4:1

11)   Saqlain purchased 8 textbooks, each costing Rs. 12 and 4 story books each costing Rs. 9. Find the ratio of the amount he spends on the two types of books.

a)       3:7                          b) 7:3                     c) 4:3                     d) 8:8

12)   If 15 labors earn Rs. 7500 in a day’s how much money will 10 labors earn in 12 days?

a)       18000                    b) 60000                               c) 60000                                d) 81000

13)   If the price of the carpet is 8-meter-long and 3 meter wide is Rs. 2400 what will the price of 12-Meter-Long and 6-Meter-wide Carpet?

a)       7164                       b) 4716                 c) 7200                                  d) 7614

14)   If 16 men can do a job in 12 days how long will 32 men take to complete it…?

a)       12                           b) 8        `               c) 6                         d) 124

15)           If 30kg of sugar cost Rs. 1500. How many kgs of sugar can be purchased Rs. 750?

a)       6000                       b) 60                      c) 15                       d) 300

TOPIC: Real Number

1.       Real numbers like rational are those numbers which are expressed  in the form of

a) P×Q   (b)          C+D        (c)           E+F         (d)          P∕Q                                                                                          

2.       Irrational numbers are those numbers which are not expressed in the form of

a)  A+B  (b)          A×E        (c)           P∕Q        (d)          P≤Q

3.       classify it as rational or irrational 6/8

a)rational             (b)          irrational(c)         Both A and B      (d) Half rational/half irrational

4.       which family does √3 belongs

a)            Irrational (b)       rational (c)           both A and B   (c) Half rational/half irrational

5.       is √∏ is irrational

a)yes     (b)         No         (c)           both A and B      (d)         half rational/half

6.       To make √2 as a rational number what to do?

a)taking S.q root               (b)          adding 2 with 3 (c)           taking whole cube  (d)   dividing by 2

7.       Justify √16/4 is rational why?

a)it have a under root sign (b) it is positive number c)Its perfect square (d)            it’s in P/q form

8.       justify √∏ is not a rational number

a)because it’s not a perfect S.q(b)it is positive number(c)it have a under root sign(d) it’s not in              P/q form

9.       The union of set irrational and rational is known as

a)complex number  (b)conjugate number(c) real number       (d) disjoint number

10.   Mathematically the union of rational and irrational numbers is written as

a)R=QuQ’   (b)          R=QnQ’               (c)           R=Q×Q’               (d)          R=Q+Q’

11.   Q and Q’ should be which sets

a)overlapping sets           (b)          disjoint sets        (c)           rational sets      (d)          irrational sets

12.   Square root of all positive non square integers are________?

a) complex numbers (b) irrational numbers(c)Rational numbers(d)            positive integers

13.   N≤W≤Z________?

a) W       (b)          Z            (c)           Q             (d)          Q+Z

14.   For each prime numbers P=√p is_______?

a)       Positive        (b)         negative              (c)           irrational              (d)          rational

15.   How many properties of real numbers have?

a)six       (b)          seven (c)             eight      (d)         five

TOPIC: Basic operations

  1. 2+ 4+2 =?
    1. 5                              b.8                          c.9                          d.7
  2. 6/2 + 6/2 =?
    1. 6                              b.8                          c.9                          d.4
  3. 4 – 2 – 3 =?
    1. 1                             b. 2                        c.-1                         d.-2
  4. 7- 3 + 2 =? (DMAS)
    1. 2                             b.5                          c.-2                         d.3
  5. X+X – X =?
    1. 2X                           b. X                        c. –X                      d. -2X
  6. 2+2- 2 / 2 =?
    1. 1                             b. 2                         c.-1                         d.4
  7. 2x+ 4y=?
    1. 6xy                         b. 6x                      c. 6y                       d. 2x+4y
  8. 2y – 2y =?
    1. 4y                           b. 2y                      c.-y                         d.0
  9. 2p+3P-1=?
    1. 4p-1                       b. 5p-5                  c.5p+5                                   d.5p-1
  10. (2+2) - (2/2)2 =?
    1.  2                             b. -2                       c.4                                          d.-4       
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