alleryStart learning →A purse has 12 pieces of paper money, each Rs 10 or Rs 50, worth Rs 280 in all. How many Rs 50 pieces are there?
- 8
- 4
- 6
- 3
Show answer and solution
Correct answer: B. 4
With b notes of Rs 50: 10(12 - b) + 50b = 280 gives 40b = 160, so b = 4.
Olympiad (Class 7) Simple Linear Equations — practice questions — page 2
Explore 62 free Simple Linear Equations questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 62.
A purse has 12 pieces of paper money, each Rs 10 or Rs 50, worth Rs 280 in all. How many Rs 50 pieces are there?Read the answer and worked solution →A train moves at 60 km/h. How long does it take to cover 210 km?Read the answer and worked solution →Two numbers differ by 9 and their sum is 51. What is the smaller number?Read the answer and worked solution →The length of a rectangle is twice its breadth and its perimeter is 48 cm. What is the breadth?Read the answer and worked solution →A triangle has two equal angles and a third angle of 40 degrees. What is each equal angle?Read the answer and worked solution →Meena is 5 years older than Tina and the sum of their ages is 31. How old is Meena?Read the answer and worked solution →Four notebooks and two pens cost Rs 100. If each pen costs Rs 10, what is the price of a notebook?Read the answer and worked solution →A taxi charges Rs 30 plus Rs 12 per km. A fare of Rs 126 means a trip of how many km?Read the answer and worked solution →Twice a number exceeds the number by 12. What is the number?Read the answer and worked solution →If 5 is subtracted from three times a number, the result is 16. What is the number?Read the answer and worked solution →Five consecutive multiples of 5 add up to 175. What is the smallest?Read the answer and worked solution →A cyclist rides at 12 km/h and covers 45 km. How many hours does the ride take?Read the answer and worked solution →A rectangle's length is 5 cm more than its width and its perimeter is 38 cm. What is the length?Read the answer and worked solution →One-seventh of a number plus 3 gives 5. Find the number.Read the answer and worked solution →Three times (a number plus 2) equals twice (the number plus 8). Find the number.Read the answer and worked solution →One-third of a number equals one-fifth of four more than the number. Find it.Read the answer and worked solution →When 2x + 5 equals 17, the expression 3x - 4 has what value?Read the answer and worked solution →Today a girl is thrice her brother's age. Four years later, together they will be 40. The brother's age now isRead the answer and worked solution →Rs 100 is shared between A and B so that A gets Rs 10 more than twice B's share. What is B's share?Read the answer and worked solution →A fraction has numerator 3 less than denominator. Adding 2 to both makes it 3/4. What is the fraction?Read the answer and worked solution →An isosceles triangle has equal sides of (x + 3) cm and base 2x cm. Its perimeter is 34 cm. What is the base?Read the answer and worked solution →The mean of 12, 15, 18 and x is 16. What is x?Read the answer and worked solution →Anil has Rs 150 and saves Rs 40 each week. After how many weeks will he have Rs 470?Read the answer and worked solution →A 90 m rope is cut into two pieces, one 14 m longer than the other. How long is the shorter piece?Read the answer and worked solution →Seema gives away 8 marbles and is left with half of what she began with. How many did she begin with?Read the answer and worked solution →One number is 12 less than three times another and their sum is 56. What is the larger number?Read the answer and worked solution →What must be added to both sides of x - 7 = 5 to get x alone?Read the answer and worked solution →Which number multiplies both sides of x/6 = 5 to isolate x?Read the answer and worked solution →Dividing both sides of 8x = 56 by which number isolates x?Read the answer and worked solution →Which of these numbers makes 3x - 1 equal to 5?Read the answer and worked solution →
Worked practice questions
A train moves at 60 km/h. How long does it take to cover 210 km?
- 2.5 hours
- 3 hours
- 4 hours
- 3.5 hours
Show answer and solution
Correct answer: D. 3.5 hours
60t = 210 gives t = 3.5 hours.
Two numbers differ by 9 and their sum is 51. What is the smaller number?
- 25
- 42
- 30
- 21
Show answer and solution
Correct answer: D. 21
x + (x + 9) = 51 gives 2x = 42, so the smaller number is 21.
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