Math Proficiency Test Flashcards

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Practice flashcards created from the math proficiency test with questions and answers.

Last updated 10:11 AM on 4/23/26
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1
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What is the greatest number among 2150, 3125, and 4100?

4100

2
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How many perfect squares can be displayed on a 12-digit calculator?

6000

3
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How many numbers between 1/4 and 1/2 can be displayed on an 8-digit calculator?

25,000,000

4
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What digit is in the 5000th position when writing positive integers in sequence starting from 1?

3

5
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The radius of a unicycle wheel is 30 cm. If it travels 1 km, how many revolutions does it make?

530

6
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Two numbers have a product of 1872 and a sum of 88. What is their difference?

16

7
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When cream is added to coffee and then mixed back into the cream, which is true?

The amount of coffee in the cream is equal to the amount of cream in the coffee.

8
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What is the average of all multiples of 5 from 1 to 9999?

5000

9
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What is the remainder when P is divided by 8 if P + 3 gives a remainder of 5 when divided by 8?

3

10
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At what time will the second candle, which is lit 2 hours after the first, be twice as tall?

9:45 pm

11
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Which weight cannot be measured with weights of 1, 3, 5, 7, and 10?

23

12
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How many two-digit numbers are there such that both the number and the sum of its digits are divisible by 7?

2

13
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When a positive integer a is decreased by 25%, by what percentage must b be increased if their product is constant?

33 1/3%.

14
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If half the sum of two numbers is 18, and one number is 25, what is their product?

900.

15
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The maximum number of squares made from 100 meters of wire with each square area of 9 sq m is?

10.

16
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When do 11 and 19 leave the same remainder upon division by d? What could be d?

7.

17
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How many times faster is Joshua's biking speed compared to his walking speed if he bikes 2/3 of the way and walks the rest with walking time 3 times biking time?

3.

18
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If 16,490 was spent on tickets for an event and more than 10 and fewer than 30 people bought tickets, how many were in the group?

17.

19
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If a bathroom tissue roll has 300 sheets of 11 cm each, how many times can it wind around a 4 cm diameter cardboard?

125.

20
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If it's currently four times past four o'clock, how many minutes left until six o'clock?

15.

21
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How many different patterns are possible in a quiz with 10 true or false questions?

1024.

22
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For what number n does the interior angle of a regular polygon measure 120°?

6.

23
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What is the remainder when a number divisible by 8 gives a non-zero remainder when divided by 16?

8.

24
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What number results in the same outcome if you subtract 1 from eight times it or add 89 to three times it?

20.

25
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What is the larger number if its difference with another number is 67 and it's 43 less than six times the smaller number?

89.

26
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How many three-bedroom units are in a building of 230 units if two-bedroom units are 10 more than three times three-bedroom, and one-bedroom units are twice the two-bedroom units?

10.

27
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What number comes from five-sixths of a number and three-fourths of it being 2 more than four-thirds of the number?

8.

28
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What is the largest of three consecutive integers where one plus one-third of the second plus three-eighths of the third equals 25?

10.

29
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When the second number is two more than two-thirds of the second, if the sum of three numbers is 172, what is the smallest number?

30.

30
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What is the largest angle of a triangle where one angle is four times the second angle, and the third angle measures 5° more than double the second angle?

140°.

31
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From a wire of 100 cm long to be cut into two pieces forming squares with area difference of 225 cm², sum of the areas?

289 cm².

32
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If one is 50 years older than another and is more than 4 times the age of the younger, how old is Tina now?

12.

33
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In cows and chickens, if the legs total 14 more than twice the heads, how many cows are there?

4.

34
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If two jets leave at the same time from Manila and the second flies 100 km/h faster, and they are 4800 km apart, what is the speed of the faster jet?

800 kph.

35
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Error percentage if a number mistakenly divided by 6 instead of multiplied by 6 is then based on the correct answer?

97.

36
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If a freight train travels at 30 kph and an express train two hours later at 50 kph, after how long does express overtake?

2 hours.

37
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What two-digit number has the digit sum of 15 and is 9 less than its digit-reversed counterpart?

96.

38
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When a soccer team wins x games to achieve a 75% win rate after winning 8 and losing 4, what's the value of x?

3.

39
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How long is segment ST on a line shared by Q, R, S, and T with segment lengths of QR, QS, RS being 16, 8 and 24 respectively?

8.

40
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What is the maximum weight, if 8 boxes with an average weight of 4.8 pounds, each weighs at least 4.3 pounds?

9.2.

41
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What is Amy's encoding rate if she takes longer to encode 600 words compared to Jenny, who can encode 600 in 5 minutes less?

20.

42
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Find the specific gravity of pyrite if a 400-gram sample weighs 320 grams in water.

5.

43
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What is the area of a triangle with sides 5, 6, and 7?

6√6.

44
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Find the sum of the infinite series 1/7 + 1/7² + 1/7³.

1.

45
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What values for x make √√√x - x a real number?

0 ≤ x ≤ 1.

46
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What value of k gives a double root for the equation 3x² + 6x + k = 0?

4.

47
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What is the equation of axis symmetry for y = |x − 1 | + 4?

x = 1.

48
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What are the zeros of f(x) = x² + 4x + 3?

{-1, -3}.

49
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What are the zeros for y = x³ + 3x² - 4x - 12?

 ±2, 3.

50
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What prime number can represent n = 7 in the equation n² + n?

11.

51
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What train speed results when traveling 300 km at an average of 180 kph?

capacity for return trip not calculated.

52
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What was the speed if it took the return trip averaged 120 kph?

90 kph.

53
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Which element is a heavy metal often used in batteries?

Lead.

54
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What is the compound that results from a mixture of NaCl and AgNO₃?

White precipitate of silver chloride.

55
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What is the significant figure in scientific notation for the measurement 0.004500?

4 significant figures.

56
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What is the role of carbon dioxide in photosynthesis?

To provide Carbon.

57
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What is the significance of vacuoles in plant cells?

Storage for nutrients and waste.

58
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What process in living organisms converts chemical energy into biological energy?

Cellular respiration.

59
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During what stage of the cell cycle does DNA replication occur?

Synthesis phase.

60
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When does carbon monoxide poisoning occur?

When inhaled at high levels.

61
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If light travels at 3imes1083 imes 10^8 m/s, how long does it take to reach Earth from the Sun?

8 minutes.

62
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What causes the seasons on Earth?

Tilt of Earth's axis.

63
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What is the chemical formula for water?

H₂O.

64
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If two birds eat seeds as part of their diet, they are considered?

Granivores.

65
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If a beam of sunlight shines through a prism, what does it create?

A rainbow.

66
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If acids taste sour, what is the property of bases?

Bitter.

67
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Name the primary organ involved in filtering blood in humans?

Kidneys.

68
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What type of force acts between the surface of two objects in contact?

Friction.

69
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What is the primary function of red blood cells?

Carry oxygen.

70
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What is the acceleration of an object if no forces are acting on it?

0 m/s².

71
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What do you measure to find the surface area of a rectangular prism?

L × W × H.

72
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In an electrical circuit, what role does a capacitor play?

Store electrical energy.

73
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What is the unit of electric current?

Ampere.

74
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If a force is applied unevenly, what will happen to the object?

It will accelerate.

75
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What happens at absolute zero in terms of molecular motion?

Molecules cease motion.

76
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What is the significance of bioluminescence in organisms?

Attract mates or prey.

77
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What is the molecular structure of DNA?

Double helix.

78
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What process takes place during cellular respiration?

Glucose is converted to energy.

79
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What disease is caused by a deficiency of insulin?

Diabetes.

80
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What organ is primarily responsible for digestion?

Stomach.

81
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What is the study of living organisms called?

Biology.