GMX20

A reflex angle is between

• A. 180° and 360°.
• B. 360° and 450°.
• C. 0° and 90°.
• D. 90° and 180°.

Answer explanation

A reflex angle is defined as an angle that measures greater than 180 degrees but less than 360 degrees. It represents the larger angle between two lines when they meet.

Calculate

• A. 16.6
• B. 22
• C. 13
• D. 14.2

Answer explanation

Following the order of operations, simplify the expression within the parenthesis first:

√9 = 3, 2³ = 8, so 2 + 8 ÷ 2 = 2 + 4 = 6.

The expression becomes

2 − 4 + 3(3 × 12 ÷ 6 − 1)

= 2 − 4 + 3(36 ÷ 6 − 1)

= 2 − 4 + 3(6 − 1)

= 2 − 4 + 3(5)

= 2 − 4 + 15

= 13.

There are 2 red, 3 green and 5 blue marbles in a box. What is the probability of randomly selecting a green marble?

• A. 0.40
• B. 0.50
• C. 0.20
• D. 0.30

Answer explanation

There are a total of 2 + 3 + 5 = 10 marbles. The probability of selecting a green marble is the number of green marbles divided by the total number of marbles, which is 3/10 = 0.3.

What type of distribution does this graph display?

• A. Skew to the left
• B. Negatively skewed
• C. Symmetrical
• D. Skew to the right

Answer explanation

The distribution curve has a long tail extending to the right, indicating that the majority of the data points are concentrated on the left side. This shape is characteristic of a distribution that is skewed to the right (positively skewed).

Sai is paid K39,000 as his annual gross salary. How much is he paid every fortnight?

• A. K3,500
• B. K4,500
• C. K1,500
• D. K2,500

Answer explanation

There are 26 fortnights in a year (52 weeks / 2 weeks per fortnight). Sai's fortnightly pay is K39,000 divided by 26, which equals K1,500.

What is the correct inequality that describes the shaded region?

• A. y ≤ - x + 1
• B. y = - x - 1
• C. y = - x + 1
• D. y ≥ - x + 1

Answer explanation

The line passes through (0,1) and (1,0), so its equation is y = −x + 1. The shaded region is below and including the line, indicating y values less than or equal to the line, hence y ≤ −x + 1.

An item was purchased at a wholesale price of K500 and sold at a retail price for K650. What is the percentage markup?

• A. 40%
• B. 50%
• C. 20%
• D. 30%

Answer explanation

The markup amount is K650 - K500 = K150.

The percentage markup is calculated as (markup amount / wholesale price) 100, which is (K150 / K500) 100 = 30%.

John works 45 hours per week at an hourly rate of K12.50. How much does he earn in a fortnight?

• Α. Κ662.50
• Β. Κ1125.00
• C. K1000.00
• D. K562.50

Answer explanation

John earns K12.50 x 45 hours = K562.50 per week.

In a fortnight (2 weeks), he earns

K562.50 x 2 = K1125.00.

"All the prices at a retail shop have increased by 6%". Suppose x is the price of an item at this shop, which of these expressions correctly represents the statement above?

• A. 0.94x
• B. x/0.06
• C. 1.06x
• D. 0.06x

Answer explanation

An increase of 6% means the new price is 100% of the original price plus 6% of the original price, or 106% of the original price. This can be expressed as 1.06 multiplied by the original price 'x'.

The factored form of the expression t² - t - 20 is

• A. (t + 4)(t + 5)
• B. (t - 4)(t - 5)
• C. (t - 4)(t + 5)
• D. (t - 5)(t + 4)

Answer explanation

To factor the quadratic t² − t − 20, we need two numbers that multiply to -20 and add to -1. These numbers are -5 and 4, leading to the factored form (t − 5)(t + 4).