MTAP REVIEWER 2019

MTAP Reviewer Set 1

1. What is the remainder of 32, 486 divided by 11?
2. I am thinking of a number. If I add 52 and subtract 33, I get 27. What is the number?

3. What is the reciprocal of 0.3?

4. What is the next number in the series 2, 5, 9, 14, 20, 27?

5. The area of a square is 625 square meters. What is its perimeter?

6. A book which costs 850 is sold for a 15% discount. How much is the book’s discounted
price?

7. What is the difference between the largest and the smallest numbers that can be formed
from 8, 2, 3, and 5?

8. What is the greatest common factor of 240 and 270?

9. A two liter of water was filled into a cubical container whose inner edge length is 15 cm.
How much more water is needed to fill the container?

10. Calculate: .

11. After a discount, a T-shirt was sold for 70% for its original price. Anna bought the shirt for
Php595.00. How much is the original price.

12. The number 84958ab where a and b are digits is divisible by 4. Find the maximum value
of a + b.

Answers(1) 3 (2) 8 (3) 10/3 or (4) 35 (5) 100

meters (6) Php722.50 (7) 6174 (8) 30 (9) 2375 cubic centimeter (10) 55 (11) 850 (12) 16, a = 8,
b=8
MTAP Reviewer Set 2
1.) Jim draw a triangle with one angle measuring 90 degrees. What could be the measures of the
other two angles?

2.) What is 0.7 written as a fraction?

3.) What is the prime factorization of 36?

4.) Jasmine types 26 words per minute. At this rate, how many words can she type in 8.5
minutes?
5.) What is the product of 36.5 and 0.8?

6.) Write the following numbers in increasing order. 0.8, 0.25, 1.2, 0.04

7.) Amy’s house is 5/8 of a kilometer from school. Bryan’s house is 1/2 kilometers away from
school. If Bryan’s house is between Amy’s house and the school, how far is Amy’s house from
Bryan’s house? (Problem of the Week 2, solution)
8.) What is the mixed form of ?

9.) In a school with a population of 2300 students, 58% are girls. How many boys are there in
the school?

10.) If the area of the larger square is 18 square centimeters, what is the area of the black square?

11.) If , what is ?
12.) What is the value of w that makes the equation below true? ?

Answers

1. answers vary as long as they add up to 90. e.g. 20 and 70.

2.
3. or
4. 221
5. 29.2
6. 0.04, 0.25, 0.8. 1.2
7. 1/8 of a kilometer
8.
9. 966
10. 9 square centimeters
11. 61
12. 42
MTAP Reviewer Set 3
1.) What is MDLXVII in Hindu Arabic numeral?
2.) How many sides does a nonagon have?

3.) What is 34.56 multiplied by 10?

4.) A triangle with three equal sides is called _____ triangle

5.) Fill in the blanks: ___ x 14 = 252

6.) What is the sum of all the interior angles of a 5-sided polygon?

7.) The smallest square in the grid below measures 4 square units. What is the perimeter of the
blue rectangle?

8.) What is the area of the blue triangle above?

9.) Kerry is twice as old as Mel. The sum of their ages is 33. How old is Mel?

10.) If the day before yesterday is Wednesday, what day is the day after tomorrow?
11.) Which of the following numbers is divisible by 3?
a.) 875, 234
b.) 923, 405
c.) 268, 816
d.) 645, 129

12.) Arrange the following numbers in decreasing order: 3.245, 3.542, 3.452, 3.254.

Answer.

1. 1567
2. 9
3. 345.6
4. equilateral
5. 18
6. 540
7. 32 units
8. 60 square units
9. 11
10. Sunday
11. d
12. 3.542, 3.452, 3.254, 3.245
MTAP Reviewer Set 4
1.) What is 3785 rounded to the nearest thousand?

2.) In a wholesale store, one apple costs Php15.50 if you buy 50 apples ore more. How much will
75 apples cost?
3.) Fill in the blank with >, =, or <.

12 _____ 0.9 × 12
4.) The smallest figure below is a square with side 1 unit. What is the perimeter of the figure
below?

5.) What does the shaded part below represent in decimals?

6.) What is 0.137 in fraction form?

7.) What is the prime factorization of 18?

8.) Arrange this fraction from least to greatest?

1/6, 1/3, 5/6, 4/6

9. What is the greatest common factor of 15 and 36?

1. How many primes are there between 20 and 30?
2. One hundred forty hours is equal to ____ days ____ hours

3. Find the missing time: 10:00, 10:15, 10:30, ____

Answers
1. 4000
2. Php1162.50.
3. >
4. 10
5. 0.8
6. 137/1000
7. 2 × 3 × 3 or (2 × 3 squared)
8. 1/6, 1/3, 4/6, 5/6 (note that 1/3 is equal to 2/6)
 9. 3
10. 2 primes (23, 29)
11. 5 days, 20 hours
12. 10:45

MTAP Reviewer Set 5

1.) Arrange the following integers from least to greatest.
8, 3, -4, – 10, 0

2.) What is a polygon whose four sides have the same length but not all its interior angles are 90
degrees.
3.) What is the greatest common factor of 12 and 18?
4.) Which of the following fractions is greater than 1/2?
, ,

5.) Which of the following fractions is not equivalent to ?

, ,

6.) What is the least common denominator of and ?

7.) What must be added to to get 6?

8.) Which makes this sentence true?

8 < 2 + __

a. 5
b. 6
c. 7

9.) What number goes into the blank?

1, 3, __, 27, 81, 243

10.) If the mean of the data below is 14, what is the value of n?
16, 12, 14, 17, n
11.) What is the value of Q?

12.) The area of a square is 64 square meters. What is its perimeter?

Answers

1. -10, -4, 0, 3, 8
2. rhombus
 3. 6
4. 8/15
5. 11/13
6. 12
7.
8. c
9. 9
10. 13
11. 10
12. 32

MTAP Reviewer Set 6

1.) 600,000 = ___ ten thousands

2.) What type of triangle has side lengths 19, 22, and 19 units?

3.) Which of the following numbers is divisible by 3?

6517, 7843, 2176, 8916

4.) What is the prime factorization of 18?

5.) The smallest square below has side 1 unit. What is the perimeter of the rectangle below?

6.) What is the area of rectangle above if the side length of the smallest square is 2 cm?

7.) 160 hours = __ days __ hours

8.) What is of 20 plus of 20?

9.) What is exactly 3 hours before 1 pm?

10.) Camilla saves 300 every month from her allowance from January to November. In
December, she saved 1600 due to Christmas presents. How much was all his savings for 1 year?
11.) What is the next term in the pattern?

, , ,

12.) The sum of two numbers is 28 and their difference is 16. What are the numbers?
MTAP Reviewer Set 6
Answers

1. 60
2. isosceles
3. 8916
4. 2 × 3 × 3
5. 18 units
6. 72 square cm.
7. 6 days, 16 hours
8. 9
9. 10 am
10. Php 2900
11.
12. 22 and 6

MTAP Reviewer Set 7

1.) When a number is divided by 5, its quotient is 12 and its remainder is 3. What is the number?

2.) If January 30 is Monday, what day will be February 1?

3.) What is the value of (12 × 4) – (5 × 5)?

4.) The perimeter of an isosceles triangle is less than is less than 40 cm. Two of its sides are 17
cm and 8cm. What is the length of the third side?
5.) What is 875 ÷ 100?
6.) The smallest grid in the figure below is 1 cm. What is the perimeter of the figure?

7.) The volume of a figure is 64 cm. Its length and width are both 4 cm. What is the figure?

8.) Jimmy works part-time waiter in restaurant for four hours a day from Monday to Friday and
receives his salary weekly. This week he was absent on Monday. If he is paid Php50 an hour,
how much is this salary this week?

9.) A __ is a shape with 4 equal sides and equal angles.

10.) What is the value of MMDCLXXII?

11.) If 50 – 12 – n = 21, what is n?

12.) What is as an improper fraction?

Answer
1.) 63
2.) Wednesday. January has 31 days.
3.) 23
4.) 8 cm
5.) 8.75
6.) 14 cm.
7.) cube
8.) Php800.00
9.) square
10.) 2672
11.) 17
12.) 19/3

MTAP Reviewer Set 8

1.) The smallest number that gives a remainder of 4 when divided by 3, 4, or 5.

2.) How many 10,000 are there in 1 million?

3.) What is the largest integer less than 17/3?
4.) The operation a#b means 2× a + 3× b. What is 4#5?

5.) How many centimeters are there in 12.5 meters?

6.) If the ratio of two numbers is 5:8. If the smaller number is 35, what is the larger number?
7.) In a 50-item test, Carrie answered 4/5 correctly, Jamie answered 7/10, and Ralph answered
17/25 correctly. Who got the highest score?
8.) A garden is 12.4m wide and 18.5 meters long. What is its perimeter?

9.) Three apples cost 35 pesos and three oranges cost 25 pesos. Benny bought 1 dozen of each
fruit. How much did he spend in all?
10.) What is the least common multiple of 12 and 36?

Answers
1.) 64
2.) 100
3.) 5
4.) 23
5.) 1250 cm
6.) 56
7.) Carrie
8.) 61.8 meters
9.) 240 pesos
10.) 36

MTAP Reviewer Set 9

1.) The sum of two numbers is 20. Their difference is 10. What are the two numbers?

2.) What is the next number in the pattern 12, 13, 16, 21, 28, ___
3.) The volume of a cube is 27 cubic centimeters. What is its surface area?
4.) What is the sum of 2.85 + 1.5 + 4.002?

5.) The length of a rectangle is 3 more than its width. Its perimeter is 62 cm. What its width?
6.) What is 11+ 22 + 33?
7.) What is 7 1/5 – 3/5?
8.) What is 1/4 of 8 added to ¾ of 16?

9.) If March 14 is a Friday, what day is March 31 of the same year?

10.) The sum of three consecutive numbers is 63. What are the three numbers?

Answers
1.) 15 and 5.
2.) 37
3.) 54 sq. cm.
4.) 8.352
5.) 14
6.) 32
7.) 6 3/5
8.) 14
9.) March 14 is a Friday, so March 21 and 28 are also Friday. Now, March 29 is a Saturday, March 30 is a
Sunday, March 31 is a Monday.
10.) 20, 21, and 22.

MTAP Reviewer Set 10

1.) What is 1/5 added to 1/2?

2.) A P650 t-shirt is marked 20% discount. How much will you have to pay for the t-shirt?

3.) The circumference of a circle is . What is its area?

4.) One number is twice the other. Their sum is 87. What are the numbers?

5.) The ratio of boys to girls in a class is 3:4. There are 42 students in the class. How many are
boys?
6.) Karen is twice as old as Anna. The difference between their ages is 12. How old is Karen?

7.) Jenny bought a cake for her daughter’s birthday. The family ate 1/3 of the cake and gave 1/4
to their neighbor. What portion of the cake was left?

8.) The sum of two numbers is 56 and their difference is 14. What are the numbers?

9.) What must be subtracted from 3/2 to get 1/3?

10.) If the smallest square in the grid below is 1 square cm, what is the area of the shaded
triangle?

Answers:

(1) 7/10, (2) 520, (3) , (4) 29 and 58,(5) 18

(6) 24, (7) 5/12 (8) 35 and 21 (9) 7/6 or 1 and 1/6 (10) 3.5 sq. cm.
MTAP Reviewer Set 12
1.) What is the greatest common factor of 3 and 10?
2.) The sum of two numbers is 26, their difference is 12. What are the numbers?

3.) A large cube is formed using smaller cubes as shown below. In the figure, how
many cubes cannot be seen?

4.) Bimbo is twice as old as Miko. The sum of their ages is 54. How old is Miko?
5.) In a telephone poll, 24 persons said that they like to jog on a Sunday morning and 18
persons said that they prefer to stay late in bed. What is the ratio of the number of persons who
like to jog in the morning to the the total number of persons in the poll?

6.) What percent of 50 is 23?

7.) A bag is with price tag 840 is marked 15% discount. What is the discounted price?

8.) What is the equivalent of 3/8 in percent?

9.) The average of 6 digit numbers is 70. If 75 which is one of the numbers is subtracted from
the sum of those 6 numbers, what is the average of the remaining 5?
10.) Two circles are inscribed in a rectangle. If the radius of the circle is 3 cm, what is the area
inside the rectangle not occupied by the circles? Use

11.) The sum of two numbers is 12 and their product is 32. What are the numbers?

12.) What is of ?

Problem of the Week: The number 25ab where a and b are digits is divisible by 6. What is the
largest possible value of a + b?

Answers

1. 1
2. 19 and 7
3. 8 cubes
4. 18 years old
5. 4:7
6. 46%
7. 714
8. 37.5%
9. 69
10. 15.48 sq. cm.
 11. 8 and 4
12. 3/8

MTAP Reviewer Set 13

1.) The time elapsed between 12:15 PM and 1:30 PM of the same day is
____ hours and ____ minutes.

2.) Arrange the following decimals from smallest to largest: 4.87, 7.84, 4.78, 7.48.

3.) Write the ratio of X to O in below.

XXOXOOX

4.) How many prime numbers are there between 10 and 20?
5.) Which of the following shapes is a heptagon?

6.) Aubrey bought 3 notebooks and 2 pencils. Each notebook costs P12.50 and each pen costs
6.50. How much did Aubrey spend all in all?

7.) What is the greatest common factor of 24 and 36?

8.) What is the value of

9.) What is ?

10.) What is the value of N in the equation ?

11.) The sum of two consecutive numbers is 89. What are the numbers?

12.) Which of the following numbers is not divisible by 3?

651, 876, 784
MTAP Reviewer Set 13
Answers

1. 1 hour and 15 minutes

2. 4.78, 4.87, 7.48, 7.84
3. 4:3
4. four (11, 13, 17, 19)
5. c
6. Php50.50
7. 12
8. 32
9. 14 (MDAS Rule: perform division before addition)
10. 16.8
11. 44 and 45
12. 784

MTAP Reviewer Set 14

1.) Jenny, May, and Coney love to plant roses. Jenny has 15 vases of roses. May has four more
vases than Jenny. Coney has 6 vases fewer than May. How many rose vases does Coney have?
2.) What is ?

3.) What is the sum of 1/4 and 1/5?

4.) The product of 5 and N is negative number. What must be the value of N?

a. greater than 0
b. less than 0
c. equal to 0
5.) John created the spinner below. Suppose he spins 100 ties, how many times will likely point
to blue?

6.) Leo jogs 18 kilometers in a week. He does not jog on Sundays. On the average, how many
kilometers does he jog each day?

7.) Which of the following numbers is the least?

0.6, 2/3, 1/8, 0.12

8.) Find the missing number in the proportion 2:5 = 8:__?
9.) What is the value of n in the equation ?

10.) How many seconds are there in half an hour, two minutes, and 3 seconds?

11.) What is the largest digit that can be placed in the digit n in the inequality
0.83n <0.840

to make it true?

12. Rina placed a gift for her friend in a box whose dimensions are shown below. She wants to
cover the box. What is the least area of the wrapper that she could use?

Answers

1. 13 vases
2. 48 000
3. 9/20
4. b
5. 75
6. 3 kilometers.
7. 0.12
8. 20
9. -9
10. 1923 seconds
11. 9
12. 288 sq. cm.
MTAP Reviewer Set 15
1.) Put the following numbers in order.

0.33, 3.03, 33.0

2.) Write 5 × 5 × 5 in exponential notation.

3.) What is the equivalent of as negative exponent.
4.) Siri works 6 days a week. His daily wage is Php435.00. How does will he earn in 4 weeks?

5.) Anna traveled from her house in Quezon City to NAIA for 1 hour and 15 minutes. He arrived
at NAIA 9:20 AM. What time did he left home?
6.) Evaluate: 2(5!)

7.) James has 3 suits and ties with 2 different colors. In how many ways can he wear a pair of
suit and tie?
8.) Write in standard form.

9.) What is the product of and

10.) What is the value of in the equation below?

11.) Write the linear equation for the following ordered pairs (a,b): (8,3), (10,5), (13,8)
12.) What is the value of the blank in 4 (3 + _) = 48?

Answers

1. 0.33, 3.03, 33.0

2.
3.
4. Php10,440
5. 8:05 AM
6. 240
7. 6 ways.
8. 380100
9.
10. n = 5
11. b = a – 5
12. 9
MTAP Reviewer Set 16
1.) What property says that for any numbers a and b, a + b = b + a?

2.) The product of , and is positive. What is true about the value of ?

a. n > 0
b. n < 0
c. n = 0

3.) One fifth of a number added to one fourth of the same number is equal to 18. What is the
number?
4.) What is the value of ?
5.) What is ?

6.) What is the sum of the smallest and largest numbers in the following set?

7.) Allan is twice as old as Anna. In 5 years, the sum of their ages will be 43. How old is Allan?

8.) What is 12.5% in fractions?

9.) Anne got scores of 85, 82, 91, and x in four tests. If Anne’s average is 87, what is the value
of x?
10.) The ratio of the number of girls to the number of boys in Class Mabait is 4:5. If the total
number of student is 45, how many are girls?
11.) The number 5A2 is divisible by 6. Which is not a possible value of A?
2, 5, 8, 3

12.) What is the value of x in 7x – 8 = 5x?

Answers

1. Commutative property
2. b
3. 40
4. 48
5.
6. 0.935
7. 22
8. 1/8
9. 90
10. 20
11. 3
12. 2
MTAP Reviewer Set 17
1.) Write <, =, > in the blank below.

0.78 ____ 0.780

2.) Which of the following numbers has the smallest value?

3.) One number is twice another number. Their sum is 48. What are the numbers?
4.) Write the expression in exponent form.
5.) What is the largest 2-digit prime number?

6.) What is the distance between two points (6,4) and (12,4)?

7.) Sam scored 87, 92, and 83 in three tests. What is his mean score?

8.) The diagonal of a square is 6cm. Find the area of the square that is twice its size.

9.) One pair of opposite sides of a quadrilateral are parallel. The other pair is not parallel. What
is the name of the quadrilateral?
10.) What whole number is the best estimate for the square root of 90?
11.) Simplify:

12.) Evaluate:

Answer Key
1.) =
2.) 1/2
3.) 16 and 32
4.)
5.) 97
6.) 6 units
7.) 87.3
8.) 36 sq. cm.
9.) trapezoid/trapezium
10.) 9
11.) 6x + 3
12.) 3/5
Grade 6 MTAP Reviewer Set 18
1.) Two hundred teachers attended a mathematics conference. The ratio of male to female is 2:3.
How many male teachers attended the conference?

2.) Mang Ambo bought a box of cookies at Php80 and sold it Php100. What percent is the is
profit?

3.) The sum of two consecutive numbers is 87. What are the numbers?

4.) Twice a number added to 13 is equal to 27. What is the number?

5.) What is one half of one fourth of 64?

6.) The perimeter of a rectangle is 26cm. Its width is 5cm. What is its length?
7.) What is the value of in ?

8.) Maia is twice as old as Naia. In three years, the sum of their ages will be 21. How old are
both of them?
9.) Which of the following fractions is the largest
8/11, 9/12, 10/15?
10.) What is 4 ½ divided by ¾?

Answers
1.) 80 male teachers
2.) 25%
3.) 43 and 44
4.) 7
5.) 8
6.) 8 cm.
7.) 48
8.) Maia is 10, Naia is 5.
9.) 9/12
10.) 6

MTAP Reviewer – Set 19

1. Yana bought 20 blouses for Php300 each. He sold 10 blouses at a 20% profit and the
remaining at a 10% profit. How much was her profit after selling all the t-shirts?
2. What is the sum of 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9?

3. Amy baked a cake and gave ½ to her children. He gave 1/3 of the remaining cake to her
neighbors. What fraction of the cake was left?
4. Karen started studying at 7:45pm last night. She said that she studied for 2 hours and 30
minutes with a 15-minute snack break. What time did she finish studying?

5. The volume of a cube is 125 cubic centimeter. What is its surface area?
6. The sum of two numbers is 51. One is twice the other. What are the numbers?
7. Approximately how many centimeters are there in 1 inch?
8. If you toss coin a hundred times which was manufactured correctly, what is the
best estimate that it will turn up to be head?
9. What is the next number in the pattern?

8, 10, 20, 22, 44, 46, 92, …

Solutions and Answers

1. Ten shirts at 300 each is Php3000.00. Now, 20% of 3000 is 600 and 10% of 3000 is 300.
600 + 300 = 900. Therefore, her profit after selling all the blouses is Php900.00. Answer:
Php900

2. 5

3. She gave ½ to her children so only ½ of the cake remained. Now, she gave 1/3 of ½
remaining cake to her neighbors, so the remaining cake is 2/3 of ½ which is equal to 1/3.
Answer: 1/3

4. She only studied for 2 hours and 15 minutes. If we add 2 hours to 7:45, she will finish by
9:45. If we add another 15 minutes, this gives us 10:00pm. Answer: 10 pm.

5. Surface area of a cube is 6s2 where s is the side length. The side length of a cube with
volume 125 cubic centimeter is 5 centimeter. Substituting, 6(s)2 = 6(52) = 6(25) = 150.
Answer: 150 sq. cm.

6. If one number is twice the other, then their sum is divisible by 3. Now, 51/3 = 17. So, the
numbers are 17 and 34.

7. 2.54cm

8. 50

9.
A. The pattern is an alternating plus 2 and times 2.
10. If March 8 is a Tuesday, what day is April 8 of the same year?
If March 8 is a Tuesday, then March 15, 22, and 29 are also Tuesdays (you add by 7 to the
dates and you get the same day). So, 30 is a Wednesday and 31 is a Thursday (March has
31 days!). Next, April 1 is a Friday, therefore, April 1+7 = 8 is also a Friday.