Sta. Lucia High School Calumpit, Bulacan Mathematics IV
NAT REVIEWER 1. Prof. Cruz sampled 10 exam scores from his Math 101 class. The scores are as follows; 81, 84, 86 88, 84, 89, and 93. What is the mode of the set scores?
a. 88 1.
b. 84 c. 86 What is the slope of a vertical line?
d. 83
e. 81
a. Zero 1.
b. 1 c. 1 d. -1 e. ½ Ram runs P kilometres in H hours. How long would it take him, to run K kilometres?
a. PK/H hours b. KH/P hours 1.
c. PKH hours
d. PH/K hours If a number is increased by 2 and the result is multiplied by 9, the product is 198. What is the number?
a. 19 1.
e. none of the above
b. 21 c. 20 Which of the following is a rational number?
d. 22
a. π 1.
b. √3 c. log2 In which quadrant does the point (-4, 68, 6.84) lie?
a. Quadrant II
b. Quadrant I
e. 23 d. 144/6
c. y- axis
e. none of the above
d. x- axis
e. Quadrant III
1. Which of the following is equal to (2x + 3y ) (2x - 3y )? a. 4x5 + 3y3 b.4x10- 9y6 c. 4x5- 9y3 d. 4x10+ 9y3 e. 2x5- 3y3 2 2 1. If the operation % is defined by: a% b=2(a -b ), what is 9% 3? a. 93 b. 109 c. 144 d. 72 e. 22 1. Euclid observed that his electric fan oscillated fully at an angle of 150˚. Express this angle 5
3
5
3
value in radians.
a. 5/(6π) 1.
b. (6π)/5 c. 6/(5π) d. (5π)/6 e. π In the figure, the arithmetic mean of the length of segments RE and ED is 7.2, what is the length of ED? RE is 6.2?
a. 7.0
b. 8.0
c. 8.4
d. 7.6
e. 8.2
6.2 R
E
D
1. What properties justify x(y+ z)+ w= xy+ (xz+ w)?
1.
a. Closure property and distributive property. b. Distributive property and associative property. c. Distributive property and additive inverse property. d. Distributive property and transitivity. e. None of the above. Which among the following is the greatest integer less than -28.33?
a. -28 1.
b. -28.33
c. -28.3
d. -29
e. -28.4
b. 120
c. 6
d. 720
e. π
Evaluate 6/6.
a. 11
1. In making copies of movies with his writer, Christian observed that for every 18 CDs burned, 3 are defectively written. What part of the total written CDs is not defective?
a. 1/6 1.
1.
b. 5/6 c. 3/15 d. 1/9 e. 1/3 In the figure at the right, the area of the larger circle is 4 times that of the smaller. If the smaller circle is to roll around the circumference of the larger circle. How many turns will the circle make? a. 2 b. 3 c. 4 d. 5 e. 6 What is the slope of the line described by the equation -10x + 13y = 12?
a. 10/13 1.
b. -12/13 c. -13/12 d. 5/6 e. 13/10 A rectangle has area K square meters. If the length is increase 20% and the width is decreased by the 20% what happens to the area?
a. Increased by 2% b. Decreased by 4% 1. Solve for x: 6x-6-2x-7= 1 1.
c. increased by 10%
e. decreased by 2%
d. does not changed
a. 4 b. 5 c. 6 d. 7 e. 8 What is the ratio of the surface area of a cube to its volume? Consider a cube with sides measuring T meters
a. 6 1.
b. 6T c. 6/T d. 2T e. T AT exactly 2:30 PM, a 6ft man casts a shadow of 4ft. At the same time the shadow of the flagpole measures 20ft. How high is the flagpole?
a. 32ft.
b. 13.33ft.
c. 30ft.
d. 18ft.
e. 20ft.
1. An integer is considered “prime” if it is only divisible by itself and by 1, which of the following represents a prime number when k=7?
a. 2k+ 1
b. k-1
c. 3k+6
d. 2k+5
e. none of the above
1. Joe buys skirt in an ukay-ukay shop for P60 after being given a 25% discount. What was the price of the skirt?
a. P75
b. P85
c. P80
d. P95
e.P100
1. Lita is eight years older than Ivan. Five years from now, Lita’s age would be seven less than twice Ivan’s age. How old is Ivan two years from now?
a. 15 b. 13 c. 10 d. 12 e. 11 1. Given that triangle is an isosceles right. What is the area of the shaded region if the diameter of the circle is 2 units? The center of the circle coincides with the vertex of the triangle.
a. b. c. d.
π/4
e. π
b. π/8 c. π/16 d. π/3
1. Kung ang K na matamis ay nagkakahalaga ng J na piso. Magkano ang sampung kamatis? a. 10(K+ J) b. 10J/K c. K/10J d. 10K+ J e. KJ 1. To pass her science class, Lea needs an average of 75% in her 5 exams. However, she had some problems and managed to get an average of 70% in the first fours exams. What score should she get to pass the subject?
a. 85
b. 95
c. 90
d. 100
e. 73
1. What is the 13 term of the arithmetic progression; 22, 29, 36…? a. 109 b. 106 c. 102 d. 113 e. 99 th
1.
If the sides of a square are increased by 2 units. The area is increased by 20 square units. What is the original area of the square?
a. 6 square units b. 9 square units c.
d. 16 square units e. 25 square units
12 square units
1. If the larger of two consecutive integers is substracted from twice the smaller, the result is 21. What is the larger number?
a. 20
b. 21
c. 31
d. 32
e. 23
1. Pearl can do certain task in 10 days. Lou can do same task in only 5 days. If they work together, how long would it take them to finish the task?
a. 3 1/3 days 1.
b. 3/10 day c. 15 days d. 5 days e. 2 days Matthew randomly picked one from a deck of cards. What is the probability that he had chosen a black queen?
a. 1/13 1.
b. 1/52 c. 2/26 d. 1/26 d. 2/13 What is the sum of all multiples of four less than or equal to 82?
a. 840
b. 836
c. 844
d. 848
e. 800
1. If DE= EW, DR= RE and angle ERD= 120˚. What is the measure, in degrees, of angle DWE?
1.
a. 10 b. 15 c. 20 d. 25 e. 30 In how many ways can a family composed of 5 members be seated in a round table?
a. 24 1.
b. 16 What is 20% of ½ of 20?
c. 120
d. 25
e. 5
a. 4
c. 1
d. 2
e. 10
b. ½
1. Simplify-x3-1x+12-x a. x+ 1 b. 1/x c. x- 1 d. 1- x e. x2- x 2 2 1. If kj= x+ y, then x + 2xy+ y +? a. K2j b. kj2 c. k2j2 d. 1 e. k2+ 2kj+ f 1. In which quadrant do the following inequalities both hold true: tan ß > 0 and sin ß < 0? a. Quadrant I b. Quadrant II c. Quadrant IV d. Quadrant III e. none of the 1.
above What numbers must be added to both numerator and denominator of 5/17 so that the resulting fraction equals 3/7?
a. 3
b. 4
c. 10
d. 7
e. 100
1. A parabola is described by the equation y= 4(x- 5) + 6. In which direction does this parabola 2
open?
a. Downward
b. to the right
c. to the left
d. upward
above
1. (87654)(87650)- (87653)(87651)- ? a. 0 b. I c. -3
d. -1
e. 3
e. none of the
1. If 1/x + 1/y=6 and x+y+ 24, what is xy=? a. 2 b. 4 c. 6 d. 8 e. 12 1. Sa isang klase, mayroong 18 lalake at 21 na babae. Kung walang absent noong araw na iyon, ano ang bahagdan ng mga lalake sa kabuuang bilang ng mga estudyante sa klase?
a. 3/7 1.
b. 6/13 c. 21/39 d. 21/18 e. 1/7 Refer to the figure. What is the area if the parameter is 66 units?
a. 6108 sq units b. 144 sq units c.
169 units
d. 516 sq units e.
144 units
1. Which of the following is equal to (x3- 27)? a. (x- 3)3 c. (x+ 3) (x- 3) (x+3) b. (x-3) (x2 + 3x + 9) d. (x- 3) (x2+ 6x+ 9)
1.
e. none of the above
A 6-foot spruce tree is planted 15 feet from a lighted streetlight whose lamp is 18 feet above the ground. How many feet long is the shadow of the tree?
a. b. c. d. e.
5.0 7.5 7.8 9.6 10.6
1. In the figure below, the length of DE, EF and FG are given, in units. What is the area in square units of ∆DEG? a. 29 b. 47.5 c. 60 d. 64 e. 66
1.
The four sides of this figure will be folded up and taped to make an open side. What will be the volume of the box?
1.
50 cm3 75 cm3
5c m
a. b. c. d. e.
100 cm3 125 cm3
130 cm3 Because of inflation, the price of mangoes increases by P4 per kilogram. With the new price, Nene can buy two kilograms fewer for P240 than she could with the old price. What was the original price per kilo of mangoes?
a. P16 1.
b. P18 c. P20 d. P22 e. P25 A bowl contains a mixture of 16 cups of coffee and a cup of sugar. How many cups of sugar do you need to add to the mixture in order get a proportion of the cups of coffee: 1 cup of sugar?
a. 6 1.
b. 7 c. 8 d. 9 e. 10 If a cylindrical barrel with the radius of 11 inches is rolled along a smooth surface how many inches roll in 8 revolutions/
a. 88 π in. 1.
b. 12 π in. c. 168 π in. d. 176 π in. Find the degree measure of 8/15 of a clockwise revolution.
e. 181 π in.
a. -168˚ 1.
b. 168˚ c. -192˚ d. 192˚ e. -198˚ Tom averaged 78% on his first two AC 11 exams. On the next 6 exams he averaged 86%. What is the average on all eight exams?
a. 82% 1.
What is m
b. 83%
c. 83%
d. 85%
e. 90%
1
a. 34˚ b. 56˚ c. 64˚ d. 92˚ e. 1.
86˚
Refer to the figure. If d is the altitude of triangle XYZ determine the area of the triangle.
a. ½ cd units2 b. ½ d (a+b) units2 c. ½ ce units2 d.
½
(a+b) units
e. ½ abcd units2 1.
1. 1. 1.
It takes one pipe 15 hours to a water tank while a second pipe requires 18 hours. If the first pipe is opened for 7 hours and then closed when the second pipe is open how long will it take the second pipe to empty the water tank? a. 8.7 hours b. 6 hours c. 10.4 hours d. 11 hours e. 12 hours If one side of a square is tripled and another side is increased by 4cm, the area of the resulting rectangle is 180cm2. What is the length of a side of the original square? a. 6 cm b. 7cm c. 8 cm d. 9 cm e. 10 cm How old is Tim if next year he will be twice as old as he was 9 years ago? a. 16 b. 17 c. 18 d. 9 e. 20 Refer to the figure to the right. Which of the following is a correct equation for the figure? a. X= 10 cos θ
a. Sin θ = x/10 b.
Tan θ = 10/x
c.
10= x sin θ
d.
Sin θ= 10x
1. Given the sin a > 0 and tan a <0 which quadrant can angle a be found? a. Q1 b. QII c. QIII d. QIV e. none of the above
