2.
Calculator not allowed:
-7 + 5 =
3.
Calculator not allowed:
487 + 848
4.
In the grid below, the vertical axis represents the cost C of hiring a DVD, while the horizontal line represents the number of days D the DVD is hired for. The line represents the relationship between the two variables.
What is the cost of hiring the video for 5 days?
Explanation
The cost of hiring the video for 5 days is £4.00.
5.
Every square is a regular quadrilateral
Explanation
A regular quadrilateral is a square, so every square is indeed a regular quadrilateral. A square has four equal sides and four right angles, which are the defining characteristics of a regular quadrilateral. Therefore, the statement "Every square is a regular quadrilateral" is true.
6.
Calculator not allowed
___ > 7
7.
Calculator not allowed:
Calculate the value of 34
Correct Answer
81
8.
Calculator not allowed:
Calculate the value of 53
Correct Answer
125
9.
Calculator not allowed:
3.6 x 3
Correct Answer
10.8
10.80
Explanation
The given expression is a multiplication problem, where 3.6 is being multiplied by 3. The product of 3.6 and 3 is 10.8. Therefore, the answer is 10.8. The additional option of 10.80 is also correct as it represents the same value, but with two decimal places.
10.
Calculator not allowed
___ < -3 < ___
Correct Answer
A. -5 and 5
11.
Calculator not allowed:
-5 - 7 =
Correct Answer
-12
-12
Explanation
The given expression is -5 - 7. When subtracting a negative number, it is equivalent to adding the positive value of that number. Therefore, -5 - 7 can be rewritten as -5 + (-7), which equals -12. The answer is -12.
12.
Calculator not allowed
Given that 7 x 8 = 56, what is 70 x 800?
Correct Answer
56000
56,000
Explanation
The given question asks to calculate 70 x 800. To find the answer, we can use the distributive property of multiplication. We know that 70 = 7 x 10 and 800 = 8 x 100. Therefore, 70 x 800 = (7 x 10) x (8 x 100) = 7 x 8 x 10 x 100 = 56 x 1000 = 56,000.
13.
Calculator not allowed:
813-564
Correct Answer
249
14.
Calculator not allowed
Given that 7 x 8 = 56, what is 5.6 ÷ 7?
Correct Answer
0.8
Explanation
To find the value of 5.6 divided by 7, we can use the fact that 7 multiplied by 8 is equal to 56. Since 5.6 is 10 times smaller than 56, we can divide 56 by 10 to get the answer. Therefore, 5.6 divided by 7 is equal to 0.8.
15.
Calculator not allowed
What is 55% of 140?
Correct Answer
77
Explanation
To find 55% of 140, you can multiply 140 by 0.55. This will give you the result of 77, which is the correct answer.
16.
Calculator not allowed
A teacher earning £25,000 a year is given a pay rise. The new salary if £26,000. What is the percentage increase in salary?
Correct Answer
4
4%
Explanation
The percentage increase in salary can be calculated by finding the difference between the new salary and the old salary, which is £26,000 - £25,000 = £1,000. Then, divide this difference by the old salary (£1,000 / £25,000) and multiply by 100 to convert it into a percentage. This gives us a percentage increase of 4%.
17.
Calculator not allowed:
36 x 43
Correct Answer
1548
1,548
18.
Calculator not allowed:
9.2 - 4.85
Correct Answer
4.35
Explanation
The given question asks for the result of subtracting 4.85 from 9.2. The correct answer is 4.35, which is obtained by subtracting the smaller number from the larger number.
19.
Simplify the following expression:
3(5e - 8)
Correct Answer
15e-24
15e - 24
Explanation
The expression 3(5e - 8) can be simplified by distributing the 3 to both terms inside the parentheses. This gives us 15e - 24. Therefore, the correct answer is 15e - 24.
20.
Calculator not allowed
-5 < ___
Explanation
The given inequality states that -5 is less than the missing number. The only option that satisfies this condition is 1, as -5 is indeed less than 1. Therefore, the correct answer is 1.
21.
How many lines of reflective symmetry does this shape have?
Correct Answer
1
Explanation
The shape has only one line of reflective symmetry. This means that there is only one line through which the shape can be folded in half so that both halves match perfectly.
22.
Calculate the size of angle d:
(write only the digits, not the unit)
Correct Answer
50
Explanation
The size of angle d is 50 degrees.
23.
Look at the data set below:
12
14
1
9
2
16
5
8
6
8
8
7
What is the mode?
Correct Answer
8
Explanation
The mode is the value that appears most frequently in a data set. In this case, the number 8 appears three times, which is more than any other number in the data set. Therefore, the mode is 8.
24.
Calculator not allowed
Given that 7 x 8 = 56, what is 0.08 x 0.7?
Correct Answer
0.056
Explanation
To solve this question, we can multiply 0.08 by 0.7 without using a calculator. We can start by multiplying 8 by 7, which equals 56. Since there are two decimal places in the question (0.08 and 0.7), we need to move the decimal point two places to the left in our answer. Therefore, the answer is 0.056.
25.
Look at the diagram below:
Which word describes how shape A has been transformed into shape D?
Correct Answer
A. Translation
Explanation
The word "translation" describes how shape A has been transformed into shape D. Translation refers to the movement of an object in a straight line without any rotation or reflection. In this case, shape A has been shifted or moved horizontally or vertically to a new position to form shape D.
26.
Calculator not allowed
Given that 7 x 8 = 56, what is 5600 ÷ 0.8?
Correct Answer
7000
Explanation
To find the answer, we divide 5600 by 0.8. Since calculator is not allowed, we can use long division method. Dividing 5600 by 0.8 gives us 7000. Therefore, the answer is 7000.
27.
Calculator not allowed
Share 21 marbles in the ratio 4 to 3
Explanation
The correct answer is 12:9. This ratio represents the distribution of marbles where for every 12 marbles, 9 marbles are given to one person and the remaining 3 marbles are given to another person. This ratio can be simplified to 4:3, which means that for every 4 marbles, 3 marbles are given to one person.
28.
What is the average speed for a journey of 175km undertaken in 2 hours and 30 mins?
(enter the digits only, not the units)
Correct Answer
70
Explanation
The average speed for a journey is calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is 175 km and the total time is 2 hours and 30 minutes, which is equivalent to 2.5 hours. Dividing 175 km by 2.5 hours gives us an average speed of 70 km/h.
29.
Look at the data set below:
12
14
1
9
2
16
5
8
6
8
8
7
What is the mean?
Correct Answer
8
Explanation
The mean is calculated by adding up all the numbers in the data set and then dividing the sum by the total number of values. In this case, the sum of all the numbers is 100 (12 + 14 + 1 + 9 + 2 + 16 + 5 + 8 + 6 + 8 + 8 + 7 = 100). Since there are 12 numbers in the data set, the mean is 100 divided by 12, which equals 8.
30.
Is this variable discrete or continuous?
A child's height
Correct Answer
A. Continuous
Explanation
The height of a child is a continuous variable because it can take on any value within a certain range. It is not limited to specific values and can be measured in fractions or decimals.
31.
Every rhombus is a square
Explanation
The statement "Every rhombus is a square" is false. While it is true that a square is a type of rhombus with equal angles, not every rhombus is a square. A rhombus is a quadrilateral with all sides of equal length, but its angles can be any value other than 90 degrees. Therefore, there are rhombuses that are not squares.
32.
Calculate the size of angle b:
(write only the digits, not the unit)
Correct Answer
60
33.
The linear scale factor between ABC and A'B'C' is 0.4.
What is the length of B'C'?
Correct Answer
6
6cm
Explanation
The length of B'C' is 6 or 6cm because the linear scale factor between ABC and A'B'C' is given as 0.4. This means that every length in ABC is multiplied by 0.4 to get the corresponding length in A'B'C'. Since the length of BC is not specified, we can assume it to be 6 or 6cm and multiply it by 0.4 to get the length of B'C', which is also 6 or 6cm.
34.
What is the volume of a cuboid with dimensions 7cm, 10cm and 13cm?
(enter the digits only, not the units)
Correct Answer
910
Explanation
The volume of a cuboid can be calculated by multiplying the length, width, and height of the cuboid. In this case, the length is 7cm, the width is 10cm, and the height is 13cm. Multiplying these three dimensions together gives us a volume of 910 cubic centimeters.
35.
How many lines of reflective symmetry does this shape have?
Correct Answer
2
Explanation
The shape has 2 lines of reflective symmetry. This means that there are 2 lines that can be drawn through the shape, dividing it into two equal halves that are mirror images of each other.
36.
How many lines of reflective symmetry does this shape have?
Correct Answer
1
Explanation
The shape has only one line of reflective symmetry, meaning that it can be divided into two equal halves by a single line.
37.
Look at the data set below:
12
14
1
9
2
16
5
8
6
8
8
7
What is the median?
Correct Answer
8
Explanation
The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are already listed in ascending order. Since there are 12 numbers, the median will be the 6th number, which is 8.
38.
Calculate the area of the following shape:
(enter the digits only, not the units)
Correct Answer
330
39.
What is the order of rotational symmetry for this shape?
Correct Answer
2
Explanation
The order of rotational symmetry for this shape is 2. This means that the shape can be rotated by 180 degrees and still look the same.
40.
Look at the diagram below:
Which word describes how shape A has been transformed into shape B?
Correct Answer
A. Rotation
Explanation
The correct answer is Rotation because shape A has been rotated to form shape B. Reflection would involve flipping the shape over a line, and translation would involve moving the shape without rotating or flipping it.
41.
Which is the general term for this function machine?
1
------>
3
2
------>
7
3
------>
11
4
------>
15
5
------>
19
n
------>
Explanation
The general term for this function machine is 4n - 1. This can be determined by observing the pattern in the given inputs and outputs. Each output is 1 less than 4 times the corresponding input. Therefore, the general rule for this function machine is to multiply the input by 4 and then subtract 1.
42.
The linear scale factor between ABC and A'B'C' is 0.4.
What is the length of A'C'?
Correct Answer
10
10cm
Explanation
The length of A'C' is 10cm. This is because the linear scale factor between ABC and A'B'C' is 0.4, which means that every length in ABC is reduced to 0.4 times its original length in A'B'C'. Since the length of AC is 10cm, the length of A'C' will also be 10cm.
43.
Every square is a parallellogram
Explanation
Every square is a parallelogram because a square has four sides that are all equal in length and four angles that are all right angles. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Since a square meets all the criteria of a parallelogram, it can be concluded that every square is a parallelogram. Therefore, the correct answer is True.
44.
Look at the diagram below:
Which word describes how shape A has been transformed into shape C?
Correct Answer
A. Reflection
Explanation
Shape A has been transformed into shape C through reflection. Reflection is a transformation in which a shape is flipped over a line, creating a mirror image of the original shape. In this case, shape A has been flipped horizontally to create shape C.
45.
Calculator not allowed
1
+
1
=
3
2
Explanation
Since the calculator is not allowed, we need to manually calculate the sum of 1+1, which equals 2. The fraction 5/6 is the only option that equals 2 when simplified.
46.
How many lines of reflective symmetry does this shape have?
Correct Answer
0
Explanation
This shape does not have any lines of reflective symmetry.
47.
Calculate the size of angle c:
(write only the digits, not the unit)
Correct Answer
130
48.
Calculator not allowed:
Find the highest common factor of 48 and 72
Correct Answer
24
Explanation
The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, we can find the HCF of 48 and 72 by listing out their factors and finding the largest one they have in common. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The largest factor that they both have in common is 24, so the HCF of 48 and 72 is 24.
49.
What is the order of rotational symmetry for this shape?
Correct Answer
1
Explanation
The order of rotational symmetry for a shape refers to the number of times the shape can be rotated and still look the same. In this case, the shape has only one line of symmetry, which means it can only be rotated 180 degrees and still maintain its original form. Therefore, the order of rotational symmetry for this shape is 1.