case /data -based (4 Marks)

Question 14 Marks

A mathematical operation of rational numbers is shown on the number line.

$1.$ Which operation is it$?$
$A.$ Addition
$B.$ Subtraction
$C.$ Multiplication
$D.$ Division
$2.$ Which number will come in place of $x ?$
$3.$ Solve: $\frac{7}{10}, \frac{5}{10}$
$A. \frac{5}{7}$
$B. \frac{2}{10}$
$C.\frac{7}{5}$
$D. \frac{35}{135}$

Answer

$8. A. $ Addition
$9. \frac{1}{8}$
$10. C. \frac{7}{5}$

View full question & answer→

Question 24 Marks

Different websites offer the same phone at different prices. A $Rs. 15,000$ mobile phone is available at $\frac{4}{5}$ of its marked price on Website $A.$ Website A gives an additional discount equivalent to $\frac{1}{10}$ of the phone price at check out. Website $B$ offers the same mobile phone model at $\frac{2}{5}$ of its price with no further discount at checkout.
$1.$ At what price is the mobile phone offered by Website $A?$
$2.$ At what fraction of the original price is the phone available at check out on Website $A?$
$A. \frac{3}{10}$
$B.\frac{7}{10}$
$C. \frac{5}{15}$
$D. \frac{4}{50}$
$3.$ Which website sells the phone at a more economical price? Give reasons.
$4.$ In which of the following options does Point $K$ represent $-\frac{1}{5}$ on the number line?

$5.$ The product of a negative rational number with its multiplicative inverse is $−1.$
Do you agree? Give examples to support your answer.
$6.$ Addition of a rational number to its additive inverse results in $0.$
Is this statement true for all rational numbers$?$ Give examples to support your answer.
$7.$ Find three rational numbers between $3$ and $4.$

Answer

$1. Rs. 10,500$
$10,500$
$2. B. \frac{7}{10}$
$3.$ Website $B,$ reasoning involves comparison of discount.
● Website $B$ offers more discount than Website $A.$
● Website $B,$ because $25> 310$
● Website $B$ offers a discount of $Rs.\ 6000,$ whereas Website $B$ offers a discount of $Rs.\ 4500.$
$4. D.$ Graphic
$5.$ No, the answer includes supporting examples.
● No, the product of $-\frac{2}{7}$ and its multiplicative inverse is $1$ , not $-1 .$
● $-\left(-\frac{7}{2}\right)=1$
$6.$ Yes, the answer includes examples.
● $-\frac{5}{8}+\left(-\frac{5}{8}\right)=0 $
● $\left(-\frac{3}{2}\right)+\frac{3}{2}=0 $
● $ 9+(-9)=0$
$7.$ Accept any set of three rational numbers that lie between $3$ and $4.$
● $\frac{13}{4} \quad \frac{7}{2} \quad \frac{15}{4}$

View full question & answer→

Maths case /data -based (4 Marks)

Take a timed test