Direction: Choose the letter of the correct answer.
If Set A = {Natural Numbers} and Set B = {Whole Numbers}, then A∩B =
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,…}
B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …}
C. {0 and 1}
D. (0}
2. The difference of 6 and 3 divided by a number is one more than that number.
A. 3x – 6x = 1 - x
B. x/6 + 3x = x + 1
C. (6 – 3)/x = 1 + x
D. x + 1 = x/3 – 6x
3 . The slope of a horizontal line graph is _______.
A. always zero
B. never zero
C. negative
D. infinite
4. The school canteen posted its price list as follows:
Allan and his two friends ordered two pancit, one spaghetti, a hamburger, two fruit juices, and one bottled water. How much money did Allan gave if he received a change of ₱49.25?
A. ₱100.75
B. ₱ 130.00
C. ₱ 150.00
D. ₱ 200.00
5. Madeleine runs five-eighth of 40 kilometers of her daily training distance. How many more kilometers she need to run to complete her training?
A. 5
B. 15
C. 18
D. 25
6. The x-intercept of the function: 5x - 3y + 15 = 0 is ______.
A. 5/3
B. 3/5
C. 3
D. -3
7. The base of a triangle is 20 units. If its altitude is 5 units, then its area is ________.
A. 4 units
B. 15 units
C. 50 units
D. 100 units
8. A square with a side of 6 cm and a rectangle with a width of 5 cm have the same perimeter. What's the length of the rectangle?
A. 7 cm
B. 12 cm
C. 14 cm
D. 24 cm
9. The product of the digits in a two-digit number is thirty six. If the tens digit is five less than the ones digit, find the number.
A. 25
B. 49
C. 66
D. 94
10. Twenty-four more than two times a number is the same as five times the number less nine. What is the number?
A. 11
B. -11
C. 8
D. 33
ANSWERS and SOLUTIONS
=====================================
1. A = Natural numbers = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
B = Whole numbers = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
A∩B = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
Answer: B
2. C. (6-3)/x = 1 + x
3. A. Always zero
4. Pancit 2 x 13.75 = ₱27.50
Spaghetti 1 x 20.50 = 20.50
Hamburger 1 x 24.75 = 24.75
Fruit Juice 2 x 10 = 20.00
Bottled water 1 x 8 = 8.00
Total Purchases = ₱100.75
Change = 49.25
Total Money =₱ 150.00
Answer: C. ₱ 150.00
5. 5/8 of 40 =
5/8 x 40 =
25 number of kilometers already run
40 – 25 = 15 number of kilometers need to run
Answer: B. 15
6. To find the x-intercept, set the value of y to zero
X- intercept the value of x if y = 0
5x - 3y + 15 = 0
5x – 3(0) + 15 = 0
5x + 15 = 0
5x = -15
x = -15/5
x = - 3
Answer: D. - 3
7. Formula to find the area of a triangle A = 1/2ab,
where a = altitude or height; b = base
Given: base (b) = 20 units; altitude (a) = 5 units
A = 1/2ab
A = ½ (5)(20)
A = 100/2
A = 50 units
Answer: C. 50 units
8. Perimeter (P) of square = side + side + side + side
or 4s
(all sides of a square has the same length)
Perimeter of rectangle = length + length + width + width
or 2l + 2w
Given : Side of square = 6 cm
Width of rectangle = 5 cm
Perimeter of square = Perimeter of rectangle
Perimeter of square = 4s 4 (6) = 24 cm
Perimeter of rectangle = 2l + 2w 2l + 2(5) = 24
2l + 10 = 24 2l = 24 – 10 2l = 14 l = 14/2
Length of rectangle = 7 cm
Answer: A. 7 cm
9. The product of a two digit number = 36
Ones digit = x Tens digit = y
x * y = 36
Tens digit is five less than the ones digit =
y = x - 5
x * y = 36 x (x - 5) = 36
x²– 5x = 36 x² – 5x – 36 = 0
( x - 9 ) ( x + 4 )= 0 x – 9 = 0 x = 9
x + 4 = 0 x = -4
We have 2 values for x (or ones digit) , 9 and -4 but only x = 9 satisfy what we are looking for.
y = 9 – 5 y = 4
Our number is 49.
Answer: B. 49
10. Twenty-four more than two times a number is the same as five times the number less nine.
24 + 2x = 5x – 9
24 – 24 +2x – 5x = - 9 - 24
-3x = - 33
x = -33/-3
x = 11
Answer: A. 11
GOOD LUCK!
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