Question 149

Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each. Fraction of allowance Where money goes Manavi Kuber 1 1 Saving Account 2 3 1 3 Spend at mall 4 5 Left over ? ? 70 – 21 25 24 1. Given below is a magic square. Place the numbers 95 , –133 , 95 , 38 in the appropriate squares so that sum in each row, column and diagonal is equal. 32 18 4 − 14 38 38 38 −38 −18 104 ? ? − 57 152 22 − 20 ? ? 38 − 95 1 −16 45 60 19 − 38 57 114 Hint: (Rewrite each rational number in its lowest term.) 2. Solve the given crossword filling up the given boxes. Clues are given below for across as well as downward filling. Also, for across and down clues, clue number is written at the corner of the boxes. Answers of clues have to be filled in their respective boxes. 2 5 Down 1: and are _______ numbers. 3 4 a –a Down 2: The _______ inverse of is . b b Down 3: The addition and multiplication of whole number integers and rational numbers is _________. Down 4: Since doesn’t exist hence 0 has no ________. Down 5: The number line extends _______ on both the sides. Down 6: The _______ of two integers may not lead to the formation of another integer. Down 7: The multiplication of a number by its reciprocal gives_______. Down 8: Rational numbers can be represented on a _______ line. Across 1: There are _______ rational numbers between two integers. Across 2: The multiplication of rational numbers is commutative and ______. Across 3: The addition and ______ of two rational numbers lead to the formation of another rational number. Across 4: All the positive integers excluding 0 are known as _______ numbers. Across 5: For any rational a ; a ÷ 0 is _______. Across 6: Reciprocal is also known as the multiplicative _____________. 3. Break the Code Solve this riddle by reducing each rational number to its lowest term. The magnitude of the numerator of rational number so obtained gives you the letter you have to encircle in the word following it. Use the encircled letters to fill in the blanks given below: S.No. Rational Number Lowest Term Word 12 (1) SPIN 24 (2) TYPE –36 (3) WITH – 48 (4) HOST (5) SHARP –34 (6) GAIN –170 (7) PROOF (8) RAIN 92 (9) AWAY (10) SWEET –42 _____ _____ _____ _____ _____ _____ _____ _____ ____ ____ 1 2 3 4 5 6 7 8 9 10 UNIT-1 1 1 × (–12 ) ÷3 × (– 2 ) 2 5 ÷ 1 1 2 ÷ (– ÷ ( × –1 ) ) æ2 1ö ¸ç - ÷ è5 2ø 2 3 5 ) 3 × 3)6× ×(–2) –2 3 1 × + ÷(–2) Its 4 12 reciprocal + Its additive identity × Its multiplicative inverse × Its multiplicative inverse ÷ –1 1 ( ( 3 ( ÷(–25 +203 × Its additive inverse ÷–3 ( 4( 2 RATIONAL NUMBERS 31 MATHEMATICS Rough Work