Correct answer: 7
Examine the distinctions between the terms, which are listed in brackets between the terms.
13 (-4) 9 (+5) 14 (-6) 8 (+7) 15…
The result of subtracting 8 from 15 should be the next term.
15-8=7.
Correct answer: 20
The series has a rule:
÷3, ×2, ×1….the cycle continues.
As a result of (30÷3=)10, and (10×2=)20, we have 20×1=20.
Correct answer: 34
Clark's sister is twice his age, thus she is now 15*2=30 years old. In four years, Clark will be 19, which means his sister will be (30+4)=34.
Correct answer: 300
To begin, we must determine how many toilet sinks will be built over the next four days.
We can use the 10% shortcut to figure out what 20% of 6,000 is:
10% of 6,000 equals 600 (omit one 0), hence 20% equals 600*2=1,200.
Now, assuming the plumber intends to split his work evenly over four days, we simply divide 1,200 by 4.
1,200/4=300
Correct answer: 40%
The 10 percent -blocks trick can be used to find 20% of 120. 10%=12. As a result, (12×2)=24.
We get 120+24+24=$168 by adding $24.
We must subtract 120 from 168 to arrive at 48. This is the entire amount of money that has increased in value as a result of the price increase. We need to calculate how much 48 out of 120 is. We may gradually add units of 12 until we reach 48 because we already know what 10% of 120 is (12). Fortunately, we need 4 units of 12, which is 4 units of 10% = 40%.
Another option is to write a fraction (48/120) and then reduce or divide it by common divisors.
Correct answer: 1 cup
3/4 cup sugar is needed for 18 cookies.
We raised the amount of cookies by a factor of (24/18) when we made two dozen cookies. As a result, we need to multiply 3/4 by 24/18 to get the new sugar amount:
3/4×24/18=3×24/4×18= 1
Correct answer: 17/51
With a solid understanding of the 1-20 multiplication chart and fraction-to-decimal conversions, this question can be answered rapidly.
14/49 = divide by 7 to reach 2/7 ~ 0.14×2 ~0.28
15/50 = divide by 5 and get 3/10 = 0.3
17/51= divide by 17 and get 1/3 = 0.33
16/64 = divide by 16 and get = 1/4 = 0.25
Correct answer: 247,090
Calculate the average weekly sales for the first year.
123,545 in 5 weeks
123,545/5 = 24709 a week
Calculate the sum based on the average weekly sales in Year 2:
Old Value x Multiplier = New Value
24,709 x 1.25 = 30,886.25
The festival lasted eight weeks, so:
30,886.25 x 8 = 247,090 tickets
Correct answer: 54%
Locate the first discount.
The new price is 0.6 times the full amount due to the 40% discount.
Look for a second discount.
Because there is a 10% discount, the price for paying in advance is 0.9 times the discounted price.
0.9 x 0.6 = 0.54 – 54%.
Correct answer: 1680
Using algebra, connect the population sizes:
Town A's population is referred to as: a
Town B's population is referred to as b.
Town A has a population that is 20 percent that of Town B:
a = 0.2b
Town C's population is referred to as c.
Town C has a population that is 75% that of Town A.
c = 0.75a
To find the value for B, use the value for C.
c = 252
so 0.75a = 252
a = 252/0.75
a = 336
0.2b = a
0.2b = 336
b = 1680
Correct answer: $437 million
Calculate the total wage for both the players and the staff.
$285,000,000 x 1.15 = $327.75 million.
Calculate the overall cost of the staff bill.
We need to calculate 100 / 75 of $327.75 million, which is 75 percent of the entire wage bill.
327.75 million x 100/75 = $437 million
