Class – 6
Sub – Math
Time – 2:00 Hours
Marks – 80
Q1. Mark against the correct answer in each of the following. (10 Marks )
i.) 3
4_______=?
100
a.) 4.3 b.)4.03 c.)4.003 d.)43.10
ii.) 1/3 is a
a.) Monomial b.) Binomial c.) Trinomial d.) Quadrinomial.
iii.) If x/5 = 1 them
a.) x=a1/5 b.)x=5 c.) x=(5+1) d.)None of these
iv.) If 25:35::45:x, them the value of x is .
a.) 63 b.) 72 c.) 54 d.) None of these
v.) If 40 men can finish a piece of work in 26 days, how many men will be required to finish it in 20 days?
a.) 52 b.)31 c.) 13 d.) 65
vi.) Length and breadth of a rectangular field are in the ratio 5:4, If the width of the field is 36m, what is its length?
a.) 40m b.)45m c.) 54m d.) 50m
vii.) The ratio 92:115 in simplest form is?
a.) 23:25 b.)18:23 c.)3:5 d.) 4:5
viii.) Which of the following has no endpoints?
a.) A live segment b.) A ray c.) A line d.)None of these
ix.) An angle measuring 91. is?
a.) An acute angle b.) An obtuse angle c.)A reflex angle d.)None of these
x.) 2 right angles = ?
a.) 90. b.) 180. c.) 270. d.) 360.
Q2. Fill in the blanks. (5 Marks)
a.) 1m = ____________ km
b.) An expression having two terms is called a ________________.
c.) 14 6
_______ = ________ = ________
21 3
d.) 0. ________ acute angle __________ 90.< obtuse angle < 180.
e.) The standard unit of measuring an angle is __________________.
Q3. Solve the following questions. (30 Marks)
i.) Draw a line segment AB=6cm. Take a point C on AB such that AC= 2.5cm. Draw a CD perpendicular to AB.
ii.) In an army camp, there were provisions for 550 men for 28 days, But, 700men attended the camp. How long did the provisions last?
iii.) 4.5g of an alloy of copper and zinc contains 3.5g of copper. What weight of copper will there be in 18.9g of the alloy?
iv.) Reena is 6yesars older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
v.) The length of a rectangular park is thrice its breadth. If the perimeter of the park is 168 metres, find its dimensions.
vi.) From the sum of 3x2-5x+2 and -5x2 -8x+6, subtract 4x2-9x+7?
vii.) A film show lasted for 3 ½ hours. Out of this time, 1 ¾ hours was spent on advertisements what was the actual duration of the film?
viii.) A man purchases an almirah for R. 11025, gives R. 172.50 as its cartage and spends R. 64.80 on its repair. How much does the almirah cost him?
ix.) After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is Rahim today?
x.) Using only a ruler, draw an acute angle an obtuse angle and a straight angle.
Q4. Simplify. (15 Marks)
i.) 2x2 – xy+6x-4y+5xy-4x+6x2+3y ?
ii.) By how much should 23.754 be increased to get 50?
iii.) -a-
iv.) 5x-
v.) -3(a+b)+4(2a-3b)-(2a-b)
Q5. Add the following question. (10 Marks)
i.) 3a-2b+5c,2a+5b-7c,-a-b+c
ii.) A man covers a journey by car in 3 hours. He covers a distance of 64km 324m. The first hour, 58km 56m during the second. an hour and 62km 8m during the third hour. What is the length of his journey?
iii.) Add 27.8,46,175.09 and 685. 7.
iv.) Anjali bought 4 ½ m of cloth for her kurta and 2 2/3 m of cloth for her pyjamas. How much clothing did she purchase in all?
v.) 2+x-x2+6x3,-6-2x+4x2-3x3,2+x2
Q6. Write define. (10 Marks)
i.) Binomial
ii.) Equation
iii.) Point
iv.) Ray
v.) Right angle