Welcome to **AMBiPi (Amans Maths Blogs)**. SAT (Scholastic Assessment Test) is a standard test, used for taking admission to undergraduate programs of universities or colleges in the United States. In this article, you will get * SAT 2022 Mathematics Practice Test 21 Grid Ins Questions with Answer Keys | SAT Online Course AMBiPi*.

### SAT 2022 Mathematics Practice Test 21 Grid Ins Questions with Answer Keys

**SAT Math Practice Online Test Question No 1:**

If one pound of grain can feed either 5 chickens or 2 pigs, then ten pounds of grain can feed 20 chickens, and how many pigs?

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**Correct Answer: 12 **

Problem Solving/Data Analysis (word problem) MEDIUM-HARD

This one is a bit trickier than it looks. We have 10 pounds of grain and have used it to feed 20 chickens. Since one pound of grain feeds 5 chickens, proportionally we need 4 pounds of grain to feed 20 chickens. This leaves us 10 – 4 = 6 pounds of grain to feed the pigs. Since 1 pound of grain can feed 2 pigs, proportionally 6 pounds of grain can feed 12 pigs.

**SAT Math Practice Online Test Question No 2:**

What number is 40% greater than the sum of 40 and 80?

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**Correct Answer: 168 **

Algebra (percents) EASY

The sum of 40 and 80 is 120, and 40% of 120 is (0.40) (120) = 48, so the number that is 40% greater than 120 is 120 + 48 = 168. Also, remember that increasing a number by 40% is equivalent to multiplying it by 1.4.

**SAT Math Practice Online Test Question No 3:**

The sum of two numbers is four times their difference. The smaller of these numbers is 15. What is the greater number?

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**Correct Answer: 25 **

Algebra (word problems) EASY

Let’s let *x* be the larger number. 15 is the smaller number.

The sum of the numbers is four times their difference: *x* + 15 = 4(*x* – 15)

Distribute: *x* + 15 = 4*x* – 60

Add 60: *x* + 75 = 4*x *

Subtract x: 75 = 3*x *

Divide by 3: 25 = *x*

**SAT Math Practice Online Test Question No 4:**

In the figure above, the circle with center *O* has a circumference of 50, and AB = BC. What is the length of arc *AB*?

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**Correct Answer: 75/4 or 18.75 **

Special Topics (arcs and triangles) MEDIUM-HARD

Let’s start by drawing the three radii *OA, OB*, and *OC*. Since these radii are all congruent, and because *AB* = *BC*, the triangles *AOB* and *COB* are congruent (by the SSS Theorem). This implies that *OB* bisects angle *ABC*, so the base angles of both isosceles triangles must have measured 45°/2 = 22.5°. Therefore, angle *AOB*, which is the central angle for arc *AB*, must-have measure 180° – 22.5° – 22.5° = 135°. Now we can use the fact that the circumference of the circle is 50 to find the length of arc *AB*.

mAB/135° = 50/360° Let x = mAB and cross multiply: 360x = 6,750

Divide by 360: x = 75/4 = 18.75

**SAT Math Practice Online Test Question No 5:**

If a shipment of the fruit contains 6 tons of bananas, 4 tons of grapes, 2 tons of apples, and 3 tons of oranges, what fraction of the shipment, by weight, is oranges?

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**Correct Answer: .2 or 1/5 **

Problem Solving and Data Analysis (ratios) EASY

The total weight of the shipment is 6 + 4 + 2 + 3 = 15, and the total weight of oranges is 3, so the fraction of the shipment that is oranges is 3/15 5 .2

**SAT Math Practice Online Test Question No 6:**

Connor and Joachim collaborated to write a computer program that consisted of 3,500 lines of code. If Joachim wrote 600 more lines of code than Connor did, how many lines of code did Connor write?

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**Correct Answer: 1450 **

If Connor wrote *x* lines of code, then Joachim wrote *x* + 600 lines of code. Together they wrote (*x*) + (*x* + 600) = 3,500 lines of code:

*x* + *x* + 600 = 3,500

Simplify and subtract 600: 2*x* = 2,900

Divide by 2: *x* = 1,450

Therefore Connor wrote 1,450 lines of code.

**SAT Math Practice Online Test Question No 7:**

If I = FV/(1 + r)^{n}

The formula above indicates the initial investment, *I*, that must be made in an account with an annual interest rate of *r* to ensure a future value of *FV* after *n* years.

To the nearest dollar, what initial investment should be made in an account that earns 20% annually (*r* = 0.20) to ensure a future value of $432 in two years? (Ignore the $ sign when gridding your answer. That is, enter $125 as 125.)

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**Correct Answer: 300 **

Problem Solving and Data Analysis (formula analysis) MEDIUM

This requires simply substituting into the formula: I = 432/(1 + 0.2)^{2} = 432/1.44 = 300

**SAT Math Practice Online Test Question No 8:**

17(6x – 50) = 204(7/24[x])

For what value of *x* is the equation above true?

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**Correct Answer: 20 **

17(6x – 50) = 204(7/24[x])

6x – 50 = 12(7/24[x])

6x – 50 = 7/2(x)

(12/2)x – (7/2)x = 50

(5/2)x = 50

5x = 100

x = 20

**SAT Math Practice Online Test Question No 9:**

[3(h + 2) – 4]/6 = h(7 x 2 – 5)/2

In the equation above, what is the value of h?

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**Correct Answer: 1/12**

[3(h + 4) – 4]/6 = h(7 x 2 – 5)

(3h + 6 – 4)/6 = [h(14 – 5)]/2

(3h + 2)/6 = 9h/2

2(3h + 2) = 6(9h)

6h + 4 = 54h

4 = 48h

h = 4/48 = 1/12

**SAT Math Practice Online Test Question No 10:**

An office has 27 employees. If there are seven more women than men in the office, how many employees are men?

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**Correct Answer: 10 **

Getting to the Answer: There are 27 total employees at the office, all either men or women, so *m* (the number of men) + *w* (the number of women) = 27. There are seven more women than men, so w = m + 7. Substitute *m* + 7 for *w* into the first equation:

m + w = 27

m + (m + 7) = 27

2m + 7 = 27

2m = 20

m = 10

The question asks for the number of men (*m*), so you’re done! There are 10 men in the office.