GCSE Foundation Maths Diagnostic Test! Trivia Quiz

The pattern in the given sequence is that each term is obtained by adding 4 to the previous term. So, the next three terms would be obtained by adding 4 to the last term, which are 19, 23, and 27. The n-term rule for this sequence can be represented as 4n - 1, where n is the position of the term in the sequence. To find the 100th term, substitute n = 100 in the n-term rule, which gives 4(100) - 1 = 399.

10 is a multiple of 5 because it can be evenly divided by 5 without leaving a remainder.

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The correct answer is 27000 cm3 because the question asks for the volume of the shape, and the given answer is in cm3, which is the standard unit for measuring volume.

The first condition states to write down two numbers with a sum of 57. The numbers 32 and 25 satisfy this condition as 32 + 25 = 57. The second condition asks for a multiple of 8 from the list. 32 is a multiple of 8 as 8 x 4 = 32. The third condition asks for a square number. 49 is a square number as it is the square of 7 (7 x 7 = 49). Therefore, the correct answer is a) 32 and 25, b) 32, c) 49.

To find the highest, lowest, and the range in temperature for the four cities, you simply need to compare the given temperatures.



The highest temperature is the highest number, which is 5 (in Belfast).

The lowest temperature is the lowest number, which is -6 (in Glasgow).



Now, to find the range, you subtract the lowest temperature from the highest temperature:



Range = Highest Temperature - Lowest Temperature

Range = 5 - (-6)

Range = 5 + 6

Range = 11



So, the highest temperature is 5, the lowest temperature is -6, and the range in temperature is 11 degrees.

To work out 80 x 4/5, you multiply 80 by 4 and then divide the result by 5. Multiplying 80 by 4 gives you 320, and dividing 320 by 5 gives you 64. Therefore, the correct answer is 64.

The sale price of the jacket can be calculated by subtracting 15% of the normal price from the normal price. 15% of £42 is £6.30. Subtracting £6.30 from £42 gives us £35.70, which is the sale price of the jacket.

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On the map, 1 cm represents 2 km. To find the distance on the map that represents a real distance, we can use the ratio of 1 cm to 2 km.

a) For 10 km, we can set up the proportion: 1 cm / 2 km = x cm / 10 km. Solving for x, we get x = 5 cm.

b) For 22 km, we can set up the proportion: 1 cm / 2 km = x cm / 22 km. Solving for x, we get x = 11 cm.

c) For 7 km, we can set up the proportion: 1 cm / 2 km = x cm / 7 km. Solving for x, we get x = 3.5 cm.

The correct answer is 30cm2. To work out the area of a triangle, you need to know the length of the base and the height. Since the question does not provide any information about the base or height, it is not possible to calculate the area of the triangle. Therefore, the correct answer is that we don't know the area of the triangle.

The question states that the x-coordinate of point M is the same as the x-coordinate of point N, which is -3. It also states that the y-coordinate of point M is the same as the y-coordinate of point B, which is 0. Therefore, the coordinates of point M are (-3, 0).

The probability of the coin coming down heads is 0.4, which means that out of 350 spins, we can expect approximately 140 times for it to come down heads.

The answer to this question is a) positive and strong. This means that there is a strong positive correlation between the marks on paper 1 and paper 2. This suggests that as the mark on paper 2 increases, the mark on paper 1 also tends to increase. The given mark of 30 on paper 2 suggests that the student might have a mark of 37 on paper 1.

The correct proportions for the cow and pig on a pie chart are 1/4 and 1/12 respectively.

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a) To write 60% as a fraction, we can convert the percentage to a fraction by dividing it by 100. Therefore, 60% is equal to 60/100, which can be simplified to 3/5.

b) To arrange the numbers in order of size, we start with the smallest number and compare them.

The numbers in order of size are: 0.6, 2/3, 70%, 3/4.

The area of a quadrilateral can be calculated by dividing it into triangles and finding the sum of their areas. In this case, we can divide PQRS into two triangles: PQS and SQR. The area of a triangle can be calculated using the formula 1/2 * base * height. By finding the base and height of each triangle, we can calculate their individual areas and then add them together to find the total area of PQRS. The correct answer of 169 cm2 indicates that this calculation has been done correctly.

The correct answer is 66cm3. To calculate the volume of a prism, you multiply the base area by the height. Since the question does not provide any specific measurements for the base or height, it is impossible to determine the exact volume. However, out of the given options, 66cm3 is the closest to a reasonable volume for a prism.

To solve the equation 9 - 2x = 3(x + 2), we need to distribute the 3 on the right side of the equation. This gives us 9 - 2x = 3x + 6. Next, we can combine like terms by subtracting 3x from both sides, resulting in 9 - 5x = 6. To isolate the variable, we can subtract 9 from both sides, giving us -5x = -3. Finally, we can solve for x by dividing both sides by -5, which gives us x = 3/5.