## Skill Check XII: IITJEE Foundation Math

A) Evaluate the following fractions:

a) $2\frac{1}{7} + 3\frac{1}{2}+1$

b) $3\frac{1}{5} + 2\frac{1}{10}-\frac{1}{2}-\frac{1}{4}$

c) $\frac{7}{3} + \frac{11}{5}=2\frac{1}{15}$

d) $6-2\frac{1}{2} - 1\frac{2}{4}$

B) Evaluate the following fractions:

a) $1\frac{1}{2} \times 2\frac{1}{3} + 1\frac{1}{4}$

b) $3\frac{1}{3} \times 3 \frac{1}{4} \times 2 \frac{1}{7}$

c) $7\frac{1}{2} \div 6 \frac{2}{3}$

d) $12\frac{1}{3} \div 8 \frac{2}{9}$

C) Simplify:

a) $[44 \frac{1}{5} \times \frac{10}{34}] \div [\frac{14}{16} \times \frac{5}{12}]$

b) $[7 \frac{3}{9} \times 9 \frac{4}{5}] - [1\frac{2}{3} \div 8 \frac{1}{3}]$

c) $5.381 = 2.5 \hspace{0.1in} of \hspace{0.1in} [6.42-2.82]$

d) $4.396 + 32.06 - 0.7 + [2.52 + 1.2]$

D) In a class of 40 students, two fifth are girls. Each girl brings a ribbon of $3\frac{2}{4}$ m and each boy brings $2\frac{1}{4}$. What is the total length of ribbon collected by 40 students?

E) The cost of 7.25 kg oranges is Rs. 362.50 and the cost of 4.75 kg grapes is Rs. 191.25. Himani buys 6 kg oranges and 5 kg grapes. How much moeny has Himani spent?

Regards,
Nalin Pithwa

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