1.
Calculator not allowed:
487 + 848
2.
Calculator not allowed:
813-564
3.
Calculator not allowed:
3.6 x 3
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.
4.
Calculator not allowed:
36 x 43
5.
Calculator not allowed:
£24 ÷ 5
Explanation
The given expression £24 ÷ 5 can be solved by dividing 24 by 5, which gives the result 4.80. The answer can also be written as Â£4.80, since the pound sign represents the currency unit.
6.
Calculator not allowed:
9.2 - 4.85
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.
7.
Calculator not allowed
___ > 7
Correct Answer
D. 9
8.
Calculator not allowed
-5 < ___
Correct Answer
C. 1
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.
9.
Calculator not allowed
___ < -3 < ___
Correct Answer
C. -5 and 5
10.
Calculator not allowed:
-5 + 7 =
Correct Answer
2
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:
-7 + 5 =
Correct Answer
-2
13.
Calculator not allowed:
Calculate the value of 3^{4}
Correct Answer
81
14.
Calculator not allowed:
Calculate the value of 5^{3}
Correct Answer
125
15.
Calculator not allowed:
How many different factors of 100 are there?
Correct Answer
9
Explanation
The question asks for the number of different factors of 100. To find the factors of a number, we need to find all the numbers that divide evenly into it. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. So, there are 9 different factors of 100.
16.
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.
17.
Calculator not allowed
Find the Lowest Common Multiple of 24 and 18
Correct Answer
72
Explanation
The lowest common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers. To find the LCM of 24 and 18, we can list the multiples of each number and find the smallest number that appears in both lists. The multiples of 24 are 24, 48, 72, 96, 120, ... and the multiples of 18 are 18, 36, 54, 72, 90, ... The smallest number that appears in both lists is 72, so 72 is the LCM of 24 and 18.
18.
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.
19.
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.
20.
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.
21.
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.
22.
Calculator not allowed
Share 21 marbles in the ratio 4 to 3
Correct Answer
C. 12:9
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.
23.
Calculator not allowed
1
+
1
=
3
2
Correct Answer
D. 5/6
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.
24.
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.
25.
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 Â£26,000 - Â£25,000 = Â£1,000. Then, divide this difference by the old salary (Â£1,000 / Â£25,000) and multiply by 100 to convert it into a percentage. This gives us a percentage increase of 4%.
26.
Starting from n=1, what is the 4th numer in a sequence whose general term is n^{2} + 1?
Correct Answer
26
677
Explanation
The general term of the sequence is n^2 + 1. Plugging in n=1 gives us 1^2 + 1 = 2. Plugging in n=2 gives us 2^2 + 1 = 5. Plugging in n=3 gives us 3^2 + 1 = 10. Plugging in n=4 gives us 4^2 + 1 = 17. Therefore, the 4th number in the sequence is 17.
27.
Which is the general term for this function machine?
1
------>
3
2
------>
7
3
------>
11
4
------>
15
5
------>
19
n
------>
Correct Answer
B. 4n - 1
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.
28.
Simplify the following expression:
6a + 3b - 8a + 2b
Correct Answer
5b-2a
5b - 2a
Explanation
The given expression involves adding and subtracting variables. To simplify it, we can combine like terms by adding the coefficients of the variables. In this case, we have 6a and -8a, which can be simplified to -2a. Similarly, we have 3b and 2b, which can be simplified to 5b. Therefore, the simplified expression is 5b - 2a.
29.
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.
30.
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?
Correct Answer
Â£4.00
4.00
Â£4
4
Explanation
The cost of hiring the video for 5 days is Â£4.00.
31.
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 daily additional cost for hiring the video?
Correct Answer
Â£0.20
0.20
20p
Explanation
The correct answer is Â£0.20, 0.20, 20p. This means that the daily additional cost for hiring the video is Â£0.20 or 20p.
32.
If I walk a route which measures 7.5cm on a map with a scale of 1:100,000, how far will I actually walk in km?
Correct Answer
7.5
7.5km
7.5 km
Explanation
If the map has a scale of 1:100,000, it means that 1 cm on the map represents 100,000 cm in reality. Therefore, if you walk a route that measures 7.5 cm on the map, you will actually walk a distance of 7.5 x 100,000 cm in reality. Converting this to kilometers, you divide by 100,000 to get the answer of 7.5 km.
33.
The linear scale factor between ABC and A'B'C' is 0.4.
What is the length of A'B'?
Correct Answer
5
5cm
Explanation
The length of A'B' is 5.5cm.
34.
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.
35.
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.
36.
What is the surface area of a cuboid with dimensions 7cm, 10cm and 13cm?
(enter the digits only, not the units)
Correct Answer
582
Explanation
The surface area of a cuboid can be calculated by adding the areas of all six faces. The formula for the surface area of a cuboid is 2(length Ã— width + length Ã— height + width Ã— height). Plugging in the given dimensions of 7cm, 10cm, and 13cm into the formula, we get 2(7 Ã— 10 + 7 Ã— 13 + 10 Ã— 13) = 2(70 + 91 + 130) = 2(291) = 582.
37.
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.
38.
Calculate the area of the following shape:
(enter the digits only, not the units)
Correct Answer
330
39.
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.
40.
How many planes of symmetry does a cuboid with dimensions 4cm x 4cm x 9cm have?
Correct Answer
5
Explanation
A cuboid with dimensions 4cm x 4cm x 9cm has 5 planes of symmetry. This is because a plane of symmetry divides an object into two equal halves that are mirror images of each other. In this case, there are 5 different planes that can divide the cuboid into two equal halves. These planes can be imagined as cutting the cuboid vertically in the middle, horizontally in the middle, and diagonally through the corners.
41.
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.
42.
What is the order of rotational symmetry for this shape?
Correct Answer
1
Explanation
The order of rotational symmetry for this shape is 1, which means that the shape remains unchanged after a rotation of 360 degrees.
43.
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.
44.
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.
45.
How many lines of reflective symmetry does this shape have?
Correct Answer
0
Explanation
This shape does not have any lines of reflective symmetry.
46.
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.
47.
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.
48.
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.
49.
Every square is a parallellogram
Correct Answer
A. True
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.
50.
Every rhombus is a square
Correct Answer
B. False
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.