No questions found
Complete the statement.
Two straight lines which meet at 90° are called ........................................................ lines. [1]
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Xander spins this unbiased 8-sided spinner.
Find the probability that the spinner lands on an even number.
Give your answer as a decimal.
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546
541
Total mass of hay = mass of one bale \times number of bales
Work out the total mass of hay when there are 10 bales and the mass of each bale is 21 kg.
...................................... kg [1]
545
561
523
From the list of numbers, write down
(a) the square number, .................................................... [1]
(b) the prime number. ...................................................... [1]
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580
Insert one pair of brackets to make this statement correct. $10 \div 2 + 2 + 1 = 2$
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502
The coordinates of two points are (1, 5) and (5, 5).
Work out the distance between the two points.
590
572
525
Rosa wants to collect information about cars.
(a) Write down an example of discrete data that she could collect. .................................................................................................................... [1]
(b) Write down an example of continuous data that she could collect. .................................................................................................................... [1]
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502
Find the value of $c$.
Give a reason for your answer.
$c = \text{.......................}$ because $\text{...............................................................}$ [2]
506
555
555
Write down the largest integer value of $x$ so that $x \leq -24$. .................................................................... [1]
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518
Find the total surface area of a cube of side 2 cm. ............................... \text{cm}^2 \hphantom{.....} [2]
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522
A shark swims 200 metres in 40 seconds.
Find its average speed. ..................................... m/s [1]
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514
Megan asked some people if they prefer to read emails on their phone or on their laptop. The results are shown in the table.
[Table_1]
| Age Range | Phone | Laptop |
|-----------|-------|--------|
| $10 < \text{ age } \leq 30$ | 9 | 1 |
| $30 < \text{ age } \leq 50$ | 6 | 4 |
| $50 < \text{ age } \leq 70$ | 3 | 7 |
One of these people is chosen at random.
Find the probability that they prefer to read emails on their phone.
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505
Find the value of $x$.
[Image_1: A triangle with angles $x^\circ$, $(x+10)^\circ$, and $60^\circ$]
$x = \text{.......................................}$
519
574
585
Solve the inequality.
$x + 1 < 3$
......................................................... [1]
560
579
563
A bag contains 20 almonds. The mean mass of an almond in the bag is 4 grams.
Work out the total mass of the almonds in the bag. ........................................... grams [1]
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512
588
U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}
A = \{ 1, 4, 5, 6, 9 \}
B = \{ 2, 4, 7, 10 \}
(a) Complete the Venn diagram by writing each element in the correct region.
[2]
(b) Find $A \cap B$.
$A \cap B = \{ \text{............................................} \}$ [1]
(c) Find $n(A \cup B)$.
...................................................... [1]
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572
(a) Write each number in standard form.
(i) 8500 ................................................................................................. [1]
(ii) 0.02 ................................................................................................ [1]
(b) Find the value of 8500 \times 0.02.
Write your answer in standard form. ................................................................................................. [2]
541
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532
f(x) = x - 3
The domain of f(x) is $1 \leq x \leq 9$.
Find the range of f(x).
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506
Explain why the gradient of this line is $-2$.
........................................................................................................................
........................................................................................................................
542
513
580
