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LET Reviewer

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Mathematics Major LET Reviewer

Review algebra, geometry, statistics, and mathematical problem solving. Work through each calculation before choosing an answer, and compare your method with the explanation after submitting.

Answer all 30 questions, then submit to see your score, correct answers, and explanations. These are practice materials, not official PRC exam questions.

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Practice Quiz

All questions are shown below. Answer them in any order, then submit your completed quiz.

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1.What is the next number in the arithmetic sequence: 7, 12, 17, 22, ...?
2.Which number among the following options is divisible by 8?
3.A car's value decreased by ₱20,000 and is currently valued at ₱380,000. What is the percentage decrease in the car's value?
4.Given that x is an integer and 90 > 3x, which value cannot be x?
5.Which fraction has the greatest value among the following?
6.A rectangle has an area of 6x² and a length of 2x. What is its perimeter?
7.How many times does the digit 7 occur in the numbers from 1 to 100?
8.In the equation 3ab = 15, if b = 5, what is the value of a?
9.Lito removed 4¼ yards of plastic cover from a bolt that originally contained 35⅛ yards. How many yards remain in the bolt?
10.What is the total amount after investing ₱50,000 at 14.5% simple interest for 18 months?
11.Calculate the exact interest on ₱15,000 invested at 5.5% simple interest for 108 days.
12.At what interest rate should ₱2,400 be invested to earn ₱80 in 8 months?
13.What is the single equivalent discount for successive discounts of 5%, 10%, and 25%?
14.Two whole numbers have a product of 36 and a ratio of 1:4. What is the smaller number?
15.If 30% of x equals 30, what is 50% of x?
16.Julio earns ₱8,500 monthly. If his salary increases by 12%, what is his new monthly salary?
17.A salesman sells ₱35,000 worth of jewelry and receives a 15% commission. How much commission does he earn?
18.How much should be deposited in a bank at 6% simple interest to earn ₱1,200 annually?
19.What is the result when 0.345 is divided by 0.5?
20.Simplify the expression: [2 x 9 - 8 x (-3)] ÷ 6 + 15
21.A movie ticket costs ₱500 on premiere night and ₱320 for regular shows. What is the percentage decrease in ticket price?
22.A politician aims to reach 2/3 of Bulacan's 48,000 population, but his campaign only reaches ¾ of his target. How many people does he actually reach?
23.A meter stick is cut at the 35-cm mark. What is the ratio of the shorter piece to the longer piece?
24.A carat equals 3.086 grains. What is the weight in grains of a 2.8-carat diamond?
25.A carpenter needs three pieces of wood, each 1⅝ feet long, cut from a 6-foot board. How much wood remains?
26.Four mangoes cost ₱29.00. What is the total cost of 2½ dozen mangoes at this price?
27.₱75.00 is divided among three children in the ratio 3:7:15. What is the smallest share?
28.Calculate: 4⅕ + 3²⁄₇
29.Calculate: 10 - 3²⁄₁₇
30.How many whole numbers divide 30 evenly?

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