1.
Which of these numbers is lower: -6 -12 -8 or -4?
Correct Answer
D. -12
Explanation
The correct answer is -12 because it is the lowest number among the given options. When comparing negative numbers, the smaller the number, the lower it is on the number line. In this case, -12 is lower than -6, -8, and -4.
2.
Round 3.57896 so that there is one number after the decimal point:
Correct Answer
C. 3.6
Explanation
To round 3.57896 to one decimal place, we look at the digit immediately after the desired decimal place, which is 8. Since 8 is greater than or equal to 5, we round up the previous digit, which is 7. Therefore, the correct rounded number is 3.6.
3.
Chris is painting his garden fence. He needs 0.6 liters of paint to cover one fence panel. How many liters of paint will he need to cover six fence panels?
Correct Answer
B. 3.6 litres
Explanation
To find out how many liters of paint Chris will need to cover six fence panels, we can multiply the amount of paint needed for one fence panel (0.6 liters) by the number of fence panels (6). This can be calculated as 0.6 x 6 = 3.6 liters. Therefore, Chris will need 3.6 liters of paint to cover six fence panels.
4.
A dress costs £35. How much could be saved with a voucher for 10% off?
Correct Answer
C. Â£3.50
Explanation
With a voucher for 10% off, the amount saved on a Â£35 dress would be Â£3.50. This can be calculated by multiplying the original price (Â£35) by the discount percentage (10%) and then dividing by 100. Â£35 * 10 / 100 = Â£3.50. Therefore, the correct answer is Â£3.50.
5.
Gary earns £7.50 per hour. How much will Gary earn in 7.5 hours?
Correct Answer
A. Â£56.25
Explanation
Gary earns Â£7.50 per hour. To find out how much he will earn in 7.5 hours, we can multiply his hourly rate by the number of hours worked. Â£7.50 multiplied by 7.5 equals Â£56.25. Therefore, Gary will earn Â£56.25 in 7.5 hours.
6.
How many centimeters are in 1 meter?
Correct Answer
B. 100
Explanation
There are 100 centimeters in 1 meter. This is because the metric system is based on powers of 10, and there are 100 centimeters in a meter.
7.
A rectangle has a length of 14cm and a width of 3cm. What is the area of the rectangle?
Correct Answer
D. 42 cm2
Explanation
The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 14cm and the width is 3cm. Multiplying these two values gives us 42cm2, which is the area of the rectangle.
8.
Calculate the volume of a cuboid with a length of 4cm, the width of 3cm and a height of 2cm.
Correct Answer
C. 24 cm3
Explanation
The volume of a cuboid is calculated by multiplying its length, width, and height. In this case, the length is 4cm, the width is 3cm, and the height is 2cm. Therefore, the volume is 4cm x 3cm x 2cm = 24 cm3.
9.
A film starts at 7:15 pm and finishes at 9:30 pm. How long is the film?
Correct Answer
A. 2 hours 15 mins
Explanation
The film starts at 7:15 pm and finishes at 9:30 pm. To find the duration of the film, we subtract the start time from the finish time. 9:30 pm - 7:15 pm equals 2 hours and 15 minutes. Therefore, the film is 2 hours and 15 minutes long.
10.
Work out the mean of the following set of data: 8, 12, 6, 15, 13, 5, 7, 10
Correct Answer
D. 9.5
Explanation
To find the mean, we add up all the numbers in the set and then divide the sum by the total number of values. In this case, the sum of the numbers is 8 + 12 + 6 + 15 + 13 + 5 + 7 + 10 = 76. There are 8 numbers in the set, so we divide 76 by 8 to get the mean. Therefore, the mean of the set of data is 9.5.
11.
Work out the range of the following set of data: 8, 12, 6, 15, 13, 5, 7, 10
Correct Answer
C. 10
Explanation
The range of a set of data is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 5. Therefore, the range is 15 - 5 = 10.
12.
Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty-four tiles in total. How many of them are green?
Correct Answer
A. 18
Explanation
Jake uses three green tiles for every white tile, so if we let the number of white tiles be x, then the number of green tiles would be 3x. The total number of tiles used is 24, so we can set up the equation x + 3x = 24. Simplifying this equation gives us 4x = 24, and dividing both sides by 4 gives us x = 6. Therefore, the number of green tiles is 3x = 3(6) = 18.