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From the list of numbers, \(-0.2\), \(\frac{2}{3}\), 2, \(\sqrt{2}\), 2.1, write down the integer.
\text{..............................} \quad [1]
596
594
519
Write the missing number in the box. $$\frac{16}{20} = \frac{\text{[ ]}}{5}$$
536
563
517
The diagram shows two straight lines.
Write down the value of $y$.
$y = \text{...................................}$ [1]
518
518
563
The list shows the ages of six people.
8 10 76 8 10 8
(a) Write down the mode. ................................................. [1]
(b) Find the range. ................................................. [1]
(c) Find the median. .................................................. [1]
(d) Find the mean. .................................................... [2]
569
549
595
Find $F$ when $m = 25$ and $a = 3$.
\( F = ma \)
$F =$ \text{...............................} [1]
525
529
521
Let $A = \{1, 2, 3, 4, 5\}$ and $B = \{2, 3\}$.
Complete the following statements using set notation.
$B$ ........................ $A$
$5$ ........................ $A$
582
527
587
A bus travels at an average speed of 70 km/h.
Find the distance it travels in 4 hours.
.............................. km \[1\]
537
548
537
Priya invests $4500 for 3 years at a rate of 2% per year \textit{simple} interest.
Work out the value of Priya’s investment at the end of 3 years.
$ \text{........................[3]}
547
532
568
Solve the equation.
$5(x+3)=30$
$x= \text{..........................}$ [2]
542
537
589
The diagram shows the rectangular garden of a house.
Work out the area of the grass.
............................................ $m^2$ [2]
509
541
595
Change 46 square centimetres into square millimetres.
......................... mm^2
540
532
571
Describe fully the \textit{single} transformation that maps shape $A$ onto shape $B$.
..................................................................................................................
..................................................................................................................
546
583
577
These are the first five numbers in a sequence.
1 3 9 27 81
(a) Find the next number in this sequence. ........................................... [1]
(b) Explain how you found your answer to part (a). ................................ [1]
585
588
533
150 students are asked whether they study mathematics $(M)$ or English $(E)$.
10 study neither subject, 15 study both subjects and 50 study mathematics only.
(a) Complete the Venn diagram to show all 150 students.
[2]
(b) One of the 150 students is selected at random.
Find the probability that this student studies English.
Give your answer as a fraction in its simplest form.
...........................................................[2]
513
553
546
Work out.
$$ \frac{8 \times 10^{17}}{4 \times 10^6} $$
Write your answer in standard form.
520
522
552
Solve the simultaneous equations.
\(x + y = 6\)
\(x - y = 16\)
\(x = \text{............................}\)
\(y = \text{............................}\) [2]
505
588
599
