PRACTICE QUESTIONS

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*TUESDAY SNAP QUESTIONS*

All answers should be sent as comment as well as images if possible. Just to keep your brain active

 *Course Code :* MTS101🧮📔📊

 *Time frame:*  1HR

 *Instructions:* Answer all questions correctly. Show only your final answer

                    *QUESTIONS* 
 *1* .  To what sum does the following series converges 6/5 + 1/25, ...
(a). 6/5.  (b) 1/5. (c). 5/6. (d). 4/5


 *2* . Solve 2x³ - 3x² - 5x + 6= 0 


 *3.* Obtain the first four terms of the expansion of (1+3x)¹/³ in ascending power of x. Hence evaluate 3√1.03 (cube root) to 5.s.f


 *4.* Expand (x + 2y)⁷


 *5.* Find the quotient when 2x² - 5x + 7 is divided by 3x + 2.


 *6* . When ax³ + bx² + cx + 6 is divided by (x - 1), the remainder is -8. It also has (x - 2) and (x + 3) as factors, find a, b and c.


 *7.* The fourth term of an A.P is 14 and the 9th term is 34. Find the thirteenth term.


 *8* . A piece of wire 11²/₃ long is to be divided into two parts such that one part is ⅔ that of the other. Find the length of the shorter piece.


 *9* . A chord of a radius 12cm subtends an angle 150° at the center of the circle. Find the area of the segment bounded by the chord and the minor arc. (Leaving your answer to nearest whole number)


 *10* . If 7 and 189 are the first and fourth terms of a G.P respectively, find the sum of the first 3 terms of the progression.


 *11* . Find the sum of all the odd numbers between 1 and 99.


 *12* . Find the sum of the first 25 odd numbers.


 *13* . If the sixth term of an A.P is 11 and first term is 1, find the common difference.


 *14* . Evaluate (1.02)⁷  for (x + 2y)⁷  to 4.s.f.


 *15* . Solve for x in the equation
         1/x  +  1/(x+1)  = 9/20


 *16* (a). If 2x² - 6x + 8= 0, find a²+b². (a is alpha and b for beta)

(b). Find the first 4 terms in the expansion of (1 - 3x²)⁵ in ascending powers of x.


 *17* . Find a, b in the sequence a, 25/4, 5, b. If the first 3 terms are in Arithmetic sequence and last  three are in geometric sequence. Find a and b.


 *18* . Determine the greatest coefficient in the expansion of (3x + 1)⁸.


 *19* .  Find the value of n when ⁿ⁻²C₁ = 5.


 *20* . A bag contains nine balls numbered  1, 2, 3, ....,9. In how many ways can two ball be drawn so that both are odd?


 *21* . If 6logₓ2 - 3logₓ3 = 3log₅0.2,  Find x.


 *22* . Find the value of n when ⁿC₂ = 120.


 *23* .  A sum of money was invested at 8% per annum simple interest. If after 4years, the money amount to #330.00, find the amount originally invested.


 *24.*  Evaluate tan²y - sec²y.


 *25* . What's the equivalence of tan(A+B)?


 *26.* Simplify sin²x/ tanx.


 *27* . How many subsets will a set containing 5 elements have?


 *28* . If P= {1,2,3,4,5,6,7,8} ,  Q= {1,4,9} and R= {2,4,8}.   Find (PnQ)uR


 *29.* The symmetric difference of A and B expressed A∆B is equal to _______


 *30* . Which of the following mathematical statement is correct for 5ⁿ - 1 is divisible by 4?
(a) f(1) = 8.   (b) f(k) = 4(5M+1).  (c) f(M) = 4(5M+1).  (d) f(k+1) = 4(5M+1).


 *31* .  Find the common ratio if the first term of the G.P is 5 and fourth term is 40.


 *32* . What's the product of two roots of this equation
         x² - 9= 0


 *33* . If the third and seventh term of a geometric sequence are -1 and -81 respectively, what is the 9th term?


 *34* . Expand (x + 2)³


 *35* . If 3²ˣ - 6(3ˣ) = 27,   find x


 *36* . Cos13° is equivalent to ______


 *37* . In a youth club with 94 members, 60 like Modern music, and 50 like Traditional music. The number if members who like both Traditional and Modern much is thrice who do not like any type of music. 
How many members like only one type of music?



 *38* . Four members of a school first eleven Cricket team are also members of  first fourteen Rugby team. How many boys play in only one of the two teams?


 *39* . If the Universal set U= {x:x is a natural number and 1 ≤ x ≤ 9},
P= {x: 1≤ x ≤ 4} and Q= {2,4,6,8}.  
Find (PuQ)' 


 *40* . ________ is used to  prove the validity of proposition of the set of non-negative integers.



 _*Best of luck*_ 
✍️ *FLASHPEE EDUCATIONAL TEAM*

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