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Advanced Math (6-8)
 
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Math

Question - Advanced Math (6-8)

Grade 6
1. The length of a rectangle is increased by 25%, but the width of the rectangle is adjusted to keep the area of the rectangle unchanged. By what percent was the rectangle's width adjusted?

A.    20% increased
B.    25% increased
C.    20% decreased
D.    25% decreased


2. A man is 24 years older than his son. In 2 years, his age will be twice the age of his son. Find their present ages.

A.    Father: 22 Son: 46
B.    Father: 46 Son: 22
C.    Father: 48 Son: 22
D.    Father: 36 Son: 22


3. Rob and Reena married together in the year 1978 and at the time of marriage Rob was four years older than Reena At their fifth marriage anniversary, their ages were in the ratio 8 : 7. Find their ages at the time of their marriage.

A.    30 years, 26 years
B.    28 years, 24 years
C.    26 years, 22 years
D.    27 years, 23 years


4. In a two digit number, the sum of its digits is 7. If the digits are reversed then it becomes 28 greater than twice the unit's digit of the original number. Find the original number.



5. The cost of an adult ticket for a school was $2 and the cost of a student ticket was $1.50. If the total income from the sale of the tickets was $550 and the number of $2.00 tickets sold was 100 less than 3 times the number of $1.50 tickets; find the numoer of each kind of tickets sold.

A.    200 tickets, 100 tickets
B.    100 tickets, 100 tickets
C.    150 tickets, 200 tickets
D.    200 tickets, 150 tickets


6. The ratio of the number of boys to the number of girls in a school of 672 students is 5 : 7. When some new boys and girls are admitted, the number of girls increases by 8 and the ratio of boys to girls changes to 3 :4. Calculate the number of new boys admitted.



7. In an examination, 30 percent candidates failed in English, 35 percent failed in Mathematics and 27 percent failed in both the subjects. Find percentage of total failed.

A.    38%
B.    35%
C.    40%
D.    30%


8. A's income is 25% more than B's. Find, B's income is how much percent less than A's.

A.    20%
B.    25%
C.    24%
D.    18.5%


9. The marked price of a furniture set is $23,600 and is available at a discount of 8%. Find its selling price.

A.    $21,000
B.    $23,750
C.    $21,712
D.    $24,000


10. John lent $2,550 to Alan at 7.5 per cent. If Alan pays off the debt after 8 months by giving a television and $1,422.50; find the price of the television.

A.    $1,250
B.    $1,255
C.    $1,520
D.    $1,525



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