question_answer1) What should be subtracted from \[\frac{-5}{12}\]to get 0?
View Answer play_arrowquestion_answer2) Write an expression for "five added to half of x".
View Answer play_arrowquestion_answer3) How many edges does a triangular prism have?
View Answer play_arrowquestion_answer4) The hypotenuse of a right triangle with its legs of lengths 3x and 4x is?
View Answer play_arrowquestion_answer5) Divide 293 by 10, 00,000 and express the result in standard form.
View Answer play_arrowquestion_answer6) Simplify: \[{{\left( \frac{3}{4}x-\frac{4}{3}y \right)}^{2}}+2xy\]
View Answer play_arrowquestion_answer7) Find ten rational number between \[\frac{-2}{5}\] and\[\frac{1}{2}\].
View Answer play_arrowFactorise the following: |
(a) \[{{x}^{4}}-{{y}^{4}}\] |
(b) \[16{{x}^{4}}-81\] |
(a) Simplify : \[3x\left( 4x-5 \right)+3\]and find its value |
(i) x = 3 (ii) x = \[\frac{1}{2}\]: |
(b) Simplify: \[a\left( {{a}^{2}}+a+1 \right)+5\]and find its value for (a) a = 0 (b) a = 1 (c) \[a\text{ }=-1.\] |
question_answer12) Find three numbers in the ratio 2:3:5, the sum of whose squares is 608.
View Answer play_arrowquestion_answer13) Simplify : \[\frac{x}{2}-\frac{3x}{4}+\frac{5x}{6}=21\]
View Answer play_arrowVerify that \[-\text{ }\left( -\text{ }x \right)\text{ }=\text{ }x\]for |
(a) \[x=\frac{11}{15}\] |
(b) \[x=-\frac{13}{17}\] |
question_answer21) Simplify : \[\frac{{{(-2)}^{3}}\times {{(-2)}^{7}}}{3\times {{4}^{6}}}\]
View Answer play_arrowNumbers 1 to 10 are written on ten separate slips (one number on one slip) kept in a box and mixed |
well. One slip chosen from the box without looking into it. What is the probability of |
(a) getting a number 6 ? |
(b) getting a number less than 6? |
(c) getting a number greater than 6? |
(d) getting a 1-digit number? |
The following graph shows the temperature forecast and the actual temperature for each day of a week. |
(a) On which day was the forecast temperature the same as the actual temperature? |
(b) What was the maximum forecast temperature during the week? |
(c) What was the minimum actual temperature during the week? |
(d) On which day did the actual temperature differ the most from the forecast temperature? |
Calculate the amount and compound interest on. |
(a) Rs. 10,800 for 3 years at \[12\frac{1}{2}%\] per annum compounded annually. |
(b) Rs.18, 000 for \[2\frac{1}{2}\] years at 10% per annum compounded annually. |
question_answer29) Match each of the entries in Column I with the appropriate entry in Column II:
Column I | Column II | |
1. | X and y vary inversely to each other | A. \[\frac{x}{y}\]= Constant |
2. | Mathematical representation of inverse variation of quantities p and q | B. y will increase in proportion |
3. | Mathematical representation of direct variation of quantities m and n | C. xy= constant |
4. | When =5,y=2.5and when y=5,x=10 | D. \[p\propto \frac{1}{q}\] |
5. | When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
6. | x and y vary directly with each other | E x and y directly proportional |
7. | If x and y vary inversely then on decreasing x | G. \[m\text{ }\alpha \,n\] |
8. | If z and y vary directly then on decreasing x. | H. x and y vary inversely |
\[I.p\propto q\] | ||
\[J.m\propto \frac{1}{n}\] |
Using \[\left( x+a \right)\left( x+b \right)={{x}^{2}}+\left( a+b \right)x+\text{ }ab,\]find |
(a) \[103\times 104~\] |
(b) \[5.1\times 5.2~\] |
(c) \[103\times 98~\] |
(d) \[9.7\times 9.8\] |
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