Trigonometry
Which trigonometric ratio is defined as opposite side over hypotenuse? A. Cosine B. Tangent C. Sine D. Secant
C. Sine
The best unit to measure the distance of a road is:
A. cm B. m C. km D. mm
C. km
A random variable that can take only whole-number values is called ____.
A. continuous C. discrete
B. normal D. standard
C. discrete
A normal distribution is best described as ____.
A. skewed left C. bell-shaped
B. uniform D. rectangular
C. bell-shaped
What type of sampling gives every member of the population an equal chance of selection?
A. Convenience C. Random
B. Quota D. Purposive
C. Random
Which situation best illustrates the use of trigonometric ratios?
A. Measuring a flagpole using its shadow
B. Counting students in class
C. Finding test averages
D. Listing heights
A. Measuring a flagpole using its shadow
Which scenario best applies volume and capacity in cost estimation?
A. Buying books
B. Estimating paint needed for a wall
C. Counting chairs
D. Measuring distance
B. Estimating paint needed for a wall
Which of the following statements best describes the expected value of a discrete random variable? A. It is the simple average of all possible outcomes. B. It is the geometric average of all possible outcomes. C. It is the weighted average over all possible outcomes. D. It is the complex average of all possible outcomes in the distribution.
A. It is the simple average of all possible outcomes.
A negative Z-score means the value is ____.
A. above the mean C. below the mean
B. at the mean D. extreme
C. below the mean
It is the number of individuals included in the sample. A. Population C. statistic B. Sample D. sample size
D. sample size
In a right triangle, Angle A measures 430, what is the measurement of Angle B? A. 900 B. 450 C. 470 D. 400
C. 47 degrees
Find the perimeter of a rectangular garden measuring 12 m by 8 m.
A. 20 m B. 40 m C. 96 m D. 48 m
B. 40 m
Which of the following statements DOES NOT describe a continuous random variable? A. The distance traveled by a truck in an hour B. The average height of a coconut tree each day C. The number of provinces belong to Region IV-A D. The intensity of an earthquake that happen last month.
C. The number of provinces belong to Region IV-A
A Z-score far from 0 suggests that the value is ___
A. near the mean C. extreme
B. typical D. average
C. extreme
Which sampling technique is best for ensuring representation of subgroups?
A. Convenience C. Stratified
B. Random D. Systematic
C. Stratified
A ladder leans against a wall makes a 60° angle with the ground. If the ladder is 8 m long, how high does it reach?
A. 4 m B. 6.93 m C. 7.5 m D. 8 m
B. 6.93 m
A wall has an area of 40 m². If 1 L of paint covers 5m², how many liters are needed?
A. 5 L C. 8 L
B. 6 L D. 10 L
C. 8 L
What is the mean of the probability distribution? A. 1.0 C. 2.0 B. 1.8 D. 2.1
D. 2.1
What symbol is used for a standard normal variable?
A. X B. μ C. σ D. Z
D. Z
Why is sample size important in investigations?
A. It reduces population
B. It affects reliability of results
C. It determines variables
D. It changes hypotheses
B. It affects reliability of results
A triangular lot has sides 7 m, 9 m, and 12 m. What is its area using Heron’s Formula?
A. 30 m² B. 31.3 m² C. 36 m² D. 42 m²
B. 31.3 m²
Find the volume of a cylindrical water tank with radius 2 m and height 3 m.
A. 18.85 m³ C. 12.57 m³
B. 37.70 m³ D. 25.13 m³
B. 37.70 m³
What are the variance and standard deviation respectively of the probability distribution? A. 0.99 and 0.50 B. 0.89 and 0.62 C. 0.79 and 0.89 D. 0.80 and .088
C. 0.79 and 0.89
Which of the following notations indicate the probability of a z value from the left? A. 𝑃(𝑍 > 𝑧) C. 𝑃(𝑋 < 𝑥) B. 𝑃(𝑍 < 𝑧) D. 𝑃(𝑋 > 𝑥)
B. 𝑃(𝑍 < 𝑧)