Question1
(a) The table shows some information about the opening hours of a café. The café opens $4$ days a week.
Complete the table.
(b)$( \mathbf{i} )$ A waiter works $29$ hours a week in the café.
He is paid $\$9.50$ per hour.
He is paid for $52$ weeks of the year.
Work out his total pay for the year.
(ii) The chef is paid $32\%$ more than the waiter per hour
Work out how much the chef is paid per hour
(c) Here is part of the café’s menu.
Raj buys $2$ cups of coffee, $1$ cup of tea and $3$ slices of pizza
Calculate the change he receives from $20.
(d) The chef records the types of baguettes the café sells in one day.
(i) Complete the frequency table to show this information. You may use the tally column to help you.
(ii) On the grid, draw a bar chart to show this information.
▶️Answer/Explanation
60
Question2
(a) Manjit asks $30$ students whether they prefer joke books, puzzle books or poetry books.
The results are shown in the table.
(i) Complete the table.
(ii) Complete the pie chart.
(iii) One of the students is chosen at random.
Find the probability that this student prefers puzzle books.
The stem-and-leaf diagram shows the test scores for $24$ students.
$( \mathbf{i} )$ Write down the mode.
$( \ddot{\mathbf{i} } )$ $75\%$ of the $24$ students pass the test.
Work out the lowest score needed to pass the test.
(iii) Work out the range.
(iv) Frankie was absent on the day of the test.
His score is not on the stem-and-leaf diagram.
When he takes the test, his score increases the range by $3$ marks.
Write down the two possible values of Frankie’s score.
▶️Answer/Explanation
(a) 3750 cao
(b) 3800 cao
Question3
$(\mathbf{a})$ A recipe for making $20$ biscuits uses $150$ g flour, $125$ g butter and $50$g sugar
(i) Write the ratio $\textbf{flour:butter: sugar}$ in its simplest form
(ii) Work out the amount of flour, butter and sugar needed to make 50 biscuits
$( \mathbf{b} )$ $( \mathbf{i} )$ A recipe for making one loaf of bread uses $600$g of flour.
A sack of flour contains $16$kg of flour.
Complete the statements.
One sack of flour makes a maximum of ………………………. loaves of bread.
The amount of flour left over is ………………………. g.
(ii) The amount of flour in a sack decreases from $16$kg to $15$kg
Work out the percentage decrease of flour in the sack
▶️Answer/Explanation
4 1.4[0]
Question4
(a) Write $6479$ correct to the nearest $100$.
$(\mathbf{b})$ Write down the multiple of $13$ that is between $100$ and $110$.
$(\mathfrak{c})$ Find the reciprocal of $0.6$.
$( d)$ Work out.
$3+4\times2$
(e) Write down an irrational number with a value between $15$ and $20$.
$(\mathbf{f})$ By writing each number in the calculation correct to $1$ significant figure, find an estimate for the
value of
$$\frac{423.8-78.4}{23.5}.$$
You must show all your working.
▶️Answer/Explanation
Parallelogram
Question5
The diagram shows three triangles, $A, B$ and $C,$ on a $1$ cm2 grid.
▶️Answer/Explanation
20
Question6
$(\mathbf{a})$ Find the equation of line $L$ in the form $y=mx+c.$
$\mathbf{(b)}$ Write down the coordinates of the point where line $L$ crosses the x-axis
(c) (i) Complete the table of values for $y=x^2+5x+3.$
$( \mathbf{ii})$ On the grid, draw the graph of $y= x^2+ 5x+ 3$ for $-6\leqslant x\leqslant1.$
$( \mathbf{d} )$ $( \mathbf{i} )$ On the grid, draw the line $y=6.$
▶️Answer/Explanation
06 15 or 6:15am
Question7
The scale drawing shows the positions of three towns, $R, S$ and $T,$ on a map.
$RS$ and $ST$ are straight roads between the towns.
The scale is $1$ centimetre represents $8$ kilometres.
$(\mathbf{a})$ Work out the actual distance between $R$ and $S.$
$\mathbf{( b) }$ Another town,$V$,is on a bearing of 163° from $R$ and on a bearing of 215° from $T$
Mark the position of $V$ on the map.
$(\mathbf{c})$ A man cycles at a constant speed of 24 km/h along the straight road from $S$ to $T.$
After l hour and 50 minutes he stops at a café, $C.$
Mark the position of $C$ on the map.
You must show all your working.
$(\mathbf{d})$ A hotel, $H$, is on a bearing of $321°$ from $R.$
Work out the bearing of $R$ from $H.$
(e) Write the scale lcm to $8$km in the form $1:n.$
▶️Answer/Explanation
$7 \% \quad \frac{15}{213} \quad 0.071 \quad 0.7$
Question8
(a)
(i) Write down the order of rotational symmetry of the diagram.
(ii) On the diagram, draw all the lines of symmetry.
(b) The grid shows the first three diagrams in a sequence.
Each diagram is made using small grey and small white squares to make grey and white columns.
(i) On the grid, draw Diagram 4. [1]
(ii) (a) Complete this statement.
Diagram $n$ has ……………………….. grey columns. [1]
(b) Find an expression, in terms of n, for the total number of columns in Diagram $n.$(c) Find an expression, in terms of n, for the fraction of columns that are grey in Diagram $n.$
(iii)
(a) Complete the table. [3]
(b) Write an expression, in terms of $n$, for the number of grey squares in Diagram n.
(c) The number of white squares in Diagram $n$ is $n ( n+2)$ .
Work out the number of white squares in Diagram 30.
(d) Diagram $k$ has a total of $1296$ squares.
Work out the value of $k$.
▶️Answer/Explanation
$\frac{2}{7}$
Question9
(a) 
Write down an expression for the area of this rectangle.
Give your answer in its simplest form.
(b) In this part, all measurements are in centimetres.
The perimeter of the triangle is $526$cm.
Find the value of x.
▶️Answer/Explanation
$2a – 11b$