Numeracy
Evaluate the following expression using the correct order of operations:
15 - 3 x 4 + 2
What is 5?
A right angled triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
a^2 + b^2 = c^2 -> 6^2 + 8^2 = 100
What is 10cm?
Find the mean and median for the following data set:
5, 8, 8, 10, 14
What is a median of 8 and a mean of 9
Evaluate the following power: 2^4
What is 16?
A savings account earns simple interest. If $500 is invested at 4% per year for 2 years, how much interest is earned?
What is $40?
Expand the brackets and collect like terms to simplify this expression:
4(2x-3)-5x
What is 3(x-4)?
In a right-angled triangle, the side opposite to angle θ is 5 cm and the hypotenuse is 10 cm. What is the measure of angle θ in degrees?
What is 30 degrees?
Classify the scenario as either one variable or two variable data: "A researcher records both the daily hours of sunshine and the daily ice cream sales over a summer month to look for a correlation."
What is two variable data?
Use the exponent law for multiplying powers with the base to simplify the following expression: 3^2 X 3^4
What is 3^6 / 729?
Calculate the final value of a $1000 investment earning 5% simple interest annually for 3 years
What is $1150?
Evaluate the following fraction division and reduce your answer to its lowest terms:
3/4 ÷ 9/10
What is 5/6?
In non right triangle ABC, angle A = 45, angle B = 60, and side a = 8cm. Use the Sine Law to find the length of side b.
What is 9.8 cm?
In a normally distributed data set of standardized test scores with a mean of 100 and a standard deviation of 15, approximately what percentage of the test-takers score between 85 and 115 according to the empirical rule?
What is 68%?
Use the exponent law for the dividing powers with the same base to simplify the following expression: 5^7 / 5^3
What is 5^4 / 625?
A jacket originally cost $120 and is on sale for 25% off. What is the sale price?
What is $90?
Solve for the variable x in the following linear equation:
5x-3=2x+12
What is 5?
In triangle ABC, the three side lengths are a = 3cm, b = 5 cm, and c = 7cm. Use the Cosine Law to find the measure of the largest angle, angle C.
What is 120 degrees?
If the first quartile Q1 of a data set is 12 and the third quartile Q3 is 18, calculate the Interquartile Range and determine the exact upper threshold above which a data point is considered an outlier.
What is an IQR of 6 and an outlier threshold of 27?
Apply the power of a product rule and the power of a power rule to simplify the following expression: (2x^3)^2
What is 4x^6
Calculate the total value of a $2000 investment after 2 years at 6% annual compound interest. A = P(1 + r)^t
What is approximately $2247.20?
Solve for the variable y by applying the distributive property, clearing fractions, and isolating the variable:
1/2 (4y-8)=3(y+1)-2
What is -5?
Two ships leave the same port at the same time. Ship A travels at 2.5 knots and Ship B travels at 4 knots. The angle between their paths is 60 degrees. How many nautical miles apart are the two ships after exactly 2 hours?
What is 7 nautical miles?
Calculate the population variance for this data set: 2, 4, 6, 8, 10
What is 8?
Solve for the variable x by expressing both sides of the equation as powers of the same base: 2^5 x 4^3 / 8^2
What is 16?
A loan of $15,000 is financed for 4 years at 8% annual compound interest with no payments made during the term. What is the amount owing at the end of 4 years? A = P(1 + r)^t
What is approximately $20,407.68?