A Word problem is given mostly on written description. The students are not provided with the equation, chart, or graph on a word problem but they have to give an explanation of the words of the question in an effective math problem. Word problems check Reading comprehension and visualize the given information. Digital SAT Word problems are usually grouped into three categories:
(i) Word problems in which the questions prompt you to set up an equation,
(ii) Word problems in which the questions prompt you to solve a specific value,
(iii) Word problems in which the questions prompt you to solve the logic puzzles.
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SAT Word Problem: How to set up an equation?
Examinees use the information given in the question to set up the equation to solve these questions.
Sample Question: On a car trip Alice drove I KM, Sara drove twice as many KM as Alice, and Prik drove 15 fewer KM than Sara, therefore in terms of I, how many KM did Prik drive?
(A) 2i + 15
(B) 2i – 15
(C) i/2 + 15
(D) (i + 15 ) / 2
(E) i/2 – 15
Solution: Let us discuss an organized list of who is driving what distance covered in KM based on the given question.
Alice: I KM
Now, if Sara drove “twice as many” KM as Alice, then it is multiplied by 2 with the distance covered by Alice in KM.
Sara: 2i KM
If Prik drove “20 miles fewer” than Sara, then include the distance covered by her, and subtract 15 to find the distance covered by Prik in KM.
Prik: 2i – 15 KM
The final answer would be (B) 2i – 15.
SAT Word Problem: How to Solve a Specific Value?
In New SAT, most of the Word problems come in this category, and examinees are expected to set up the equation, and also get the solution for a specific part of a set of information. You must have a sound knowledge of the Math topic in order to solve the Word problem questions.
Sample Question: There are 6 Magenta, 6 Purple, 6 Orange, and 6 Maroon Stoles packaged in 24 indistinguishable unmarked packets, 1 stole per box. Write the least number of packets that must be selected in order to be sure that among the packets selected 3 or more contain Stoles of the same color.
(A) 3
(B) 6
(C) 7
(D) 8
(E) 9
Solution: We need 3 Stoles having a single color (any of them), and the 4 distinct colors are mentioned in the question. If we select at random, then there would be getting a different color stole on each selection.
Elect to choose 1: Magenta
Elect to choose 2: Purple
Elect to choose 3: Orange
Elect to choose 4: Maroon
Fine, we certainly do not get 3 Stoles of the same color, so let us do this process again.
Elect to choose 5: Magenta
Elect to choose 6: Purple
Elect to choose 7: Orange
Elect to choose 8: Maroon
Again we selected a different coloured stole each time. Now we have 2 Stoles of each colour which means in the next ‘Elect to choose’ process we have 3 Stoles of the same colour, but wait here colours can be any distinct colour.
Elect to choose 9😕
It is also not clear which color has been elected in the 9th round, so we will now have 3 Stoles that are the same color, whether it would be Magenta, Purple, Orange, or Maroon. The whole process takes 9 rounds to undertake and we will get 3 Stoles of the same colour as any of them. The final answer assessed is:
(E) 9
Sample Question: In New SAT, the geometry question is given as a Word problem. In the given Figure, m is not a set degree value, but it can be a value that is greater than 51, let's say 52°. Find the value of n.
Solution: Since m = 52° so the next angle of the given triangle would be 2m, i.e., 2 ´ 52° = 104°. Let us draw a rough sketch of the given problem that could be as follows:
All angles of a triangle are equal to 180°. The value of n would be:
104° + 52° + n = 180°
n = 180° – 156°
n = 24°
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Word Problem: How to Solve the Logic Puzzle?
Sample Question: How can you move three matchsticks to form three triangles?
Solution: This can be done as follows:
You are to be expected to observe both a diagram or equation problem and a Word problem for Math on the New SAT. Therefore many Word problems are asked on the basis of math topics in order to get the solution to the consequent Word problem. For example, if examinees are not able to find a general term for the given arithmetic sequence -2, 5, 8, 11, … then they will not be able to solve a Word problem based on arithmetic progression. If you have some specific areas of mathematical weakness, then you need to brush up on them, or else SAT Word problems can be trickier than you are expecting.
SAT Math Questions to Solve:
Q. Franklin bought several kites, each costing 16 dollars. Richard purchased several different kites, each costing 20 dollars. If the ratio of the number of kites Franklin purchased to the number of kites Richard purchased was 3 to 2, what was the average cost of each kite they purchased?
(A) $16.80
(B) $17.20
(C) $17.60
(D) $18.00
Q. Line F can be described by the function ƒ(x) = 5x. Line G is parallel to Line F such that the shortest distance between Line G and Line F is c, and the y-intercept of Line G is negative. Which of the following is a possible equation for line G?
(A) g(x)=x-5
(B) g(x)+5√2=5x
(C) g(x)=x-5√2
(D) g(x)-5=5x
Q. The speed of a subway train is represented by the equation v=t^2+2t for all situations where 0≤t≤70, where v is the rate of speed in km per hour, and t is the time in seconds from the moment the train starts moving.
In km per hour, how much faster is the subway train moving after 7 seconds than it was moving after 3 seconds?
(A) 4
(B) 9
(C) 15
(D) 48
Q. New York City Workforce
|
|
Employed |
Unemployed |
Total |
|
Men |
22,000 |
|
|
|
Women |
|
|
21,500 |
|
Total |
40,000 |
|
45,500 |
The table above, which describes the New York City workforce, is only partially filled. Based on this information, what proportion of the total New York City workforce are unemployed women?
(A) 43/91
(B) 7/43
(C) 11/91
(D) 1/13
Q. On a certain street there are 7 houses. The value of each of these houses is provided in the table below. An 8th house is being added on the same street and will have a value in excess of $255,000. What is the lowest value that this new home can have such that the mean of all 8 house values will be greater than or equal to the median of the 8 house values?
|
|
Value |
|
House 1 |
$180,000 |
|
House 2 |
$200,000 |
|
House 3 |
$225,000 |
|
House 4 |
$250,000 |
|
House 5 |
$252,000 |
|
House 6 |
$255,000 |
|
House 7 |
$256,000 |
|
House 8 |
? |
(A) $390,000
(B) $502,000
(C) $415,000
(D) $276,000
Q. A specialized machine can place a line of cones along the highway at a rate of 30 cones per minute. The cones are spaced an average of 15 meters apart. Which of the following equations could be used to describe the total distance in meters, d, lined by the cones as a function of t, the time in minutes?
(A) d=2t
(B) d=15t+30
(C) d=30t+15
(D) d=450t
Q. A cylindrical birthday cake with a height of 4 inches is cut into two pieces such that each piece is of a different size. If the ratio of the volume of the larger slice to the volume of the smaller slice is 5 to 3, what is the degree measure of the cut made into the cake?
(A) 115°
(B) 120°
(C) 135°
(D) 145°
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