5 years ago, Toby was 4 times as old as his sister, Sheryl. In 5 years' time, Toby will be twice as old as Sheryl. Find their present ages.
Toby's current age: 25 years old
Sheryl's current age: 10 years old
100
A customer bought one cup of tea and two cups of coffee at a total cost of $2.80. Another customer bought two cups of tea and five cups of coffee at a total cost of $6.70. Find the cost of a cup of tea and a cup of coffee.
A cup of tea: $0.60.
A cup of coffee: $1.10.
100
x=1-y
3x+2y=6
x=4
y=-3
200
x + 2y=12
3x - y=1
x=2 and y=5.
200
Mr Pilkington has some ducks and goats in his farm. If he counts a total of 94 legs and 30 heads, find the number of ducks and the number of goats on his farm.
13 ducks and 17 goats on his farm
200
A marine fish exhibition is held at the Singapore Expo. The entrance fees for 5 adults and 6 children are $67. How much would a family of 3 adults and 5 children need to pay?
$49.
200
The length and breadth of a rectangle are x cm and y cm respectively.
a) The sum of its length and breadth is 28 cm respectively. Form an equation in terms of x and y.
b) The breadth of the rectangle is 3/4 of its length. Form another equation in x and y.
c) By solving the simultaneous equations in (a) and (b), find the length of the rectangle.
a) x + y=28
b) y=3/4x
c) 16 cm
300
y=x+3
2x + y=15
x=2.5 and y=0.5
300
The sum of two integers is three times their difference. Thrice the smaller integer exceeds the larger integer by 4. Find the integers.
The two integers are 8 and 4.
300
The difference between two integers is 12 and twice the smaller integer is one more than the larger integer.
The two integers are 13 and 25.
300
There are 50 questions in a Mathematics Quiz.
3 points are awarded for each correct answer.
2 points are awarded for each wrong answer.
No marks are deducted for questions left unanswered.
Given that Wangdu obtained 80 marks in this quiz, find the greatest number of questions he answered correctly.
36.
400
3x - y=8
6x + 4y=17
x=4.5 and y=5.5
400
The sum of the two digits of a two-digit number is 14. Twice the tens digit increased by two equals to four times the units digit. Find the number.
The number is 95.
400
A group of 50 people signed up for a tour to an orchid farm organised by the Sai Kung Town Residents' Committee. The senior citizens were given a 20% discount. Given that $678 was collected from the 50 people, how many senior citizens went on the trip if the price for each regular person was $15?
24 senior citizens went on the trip.
400
2x - 3y=9
3x + 2y=7
x=3, y= -1
500
5x + y=5
4x - 7y= -9
x=2/3 and y=5/3.
500
*Hard*
A two digit number is such that the sum of its digits is one-seventh of the number. If the digits are reversed, the number will be decreased by 36. What is the number.
The required number is 84.
500
The excursion fees for adults and senior citizens for a tour to an organic farm were $9 and $5 respectively. One-third of the adults and two-fifth of the senior citizens were men. IF the total cost of the excursion fees was $751 and 45 men were in the group, find the total number of people who went for the excursion.
119 people.
500
When the digit 6 is written to the right of a two-digit number to make it a three-digit number, the new number is 888 more than the original two-digit number. Find the original number.