Reigate Grammar School 2019 · Paper 1

In a school there are $386$ boys, $435$ girls, and $76$ staff. How many people are there in the school?

Write the number “forty five thousand, seven hundred and two” in figures.

A bookshelf holds $28$ books. A local library has $87$ bookshelves. How many books does the library have?

Put these numbers in order of size, starting with the LARGEST:

$7.7, \rtqMathsListSeparator 7.77, \rtqMathsListSeparator 7, \rtqMathsListSeparator 7.07, \rtqMathsListSeparator 7.707$

A family with two adults and three children go to the zoo. If an adult ticket costs $\rtqMathsSymbolPound 9.50$ and a child ticket costs $\rtqMathsSymbolPound 2.60$, how much change will they get if they pay with a $\rtqMathsSymbolPound 50$ note?

What is the biggest number that divides into $16, 32,$ and $56$?

A square has area $64 \rtqMathsUnit{cm}^2$. What is the perimeter of the square?

I have $6$ blue counters and $4$ red counters in a bag. What is the probability of choosing a red counter when I take a counter out of the bag?

Tina owed Josh $\rtqMathsSymbolPound 23.80$. She paid him back with three $\rtqMathsSymbolPound 10$ notes but he did not have any change. How much does Josh now owe Tina?

The train from Brighton to London has $12$ carriages and each carriage can hold $48$ passengers. What is the largest number of passengers that can travel on the train?

Calculate:

Calculate $4\dfrac{2}{3}-1\dfrac{1}{4}$.

Calculate $4\dfrac{3}{7}+2\dfrac{5}{6}$.

This multiplication has been worked out for you.

$56 \times 134 = 7504$

Write down the next two numbers in the sequence:

$2, \rtqMathsListSeparator 5, \rtqMathsListSeparator 10, \rtqMathsListSeparator 17, \rtqMathsListSeparator \rtqMathsSequenceEllipsis, \rtqMathsListSeparator \rtqMathsSequenceEllipsis$

I think of a number, multiply it by $5$, then subtract $3$. The result is $57$. What was the number I first thought of?

What are the missing numbers in the following calculations?

Tasweer is making some cupcakes. It takes her $15 \rtqMathsUnit{minutes}$ to prepare the ingredients, the cakes take $18 \rtqMathsUnit{minutes}$ to bake and she needs to leave them for $10 \rtqMathsUnit{minutes}$ to cool down. If she wants to eat them at $3 \rtqMathsTimeSeparator 15 \rtqMathsTimePm$, what time should she start preparing the ingredients?

How many minutes are there in one day?

Martin the builder needs to build a wall $19$ bricks wide and $14$ bricks high.

On January $1^\text{st}$, the temperature in Helsinki was $-4 \degree \text{C}$ and the temperature in Madrid was $12 \degree \text{C}$. The temperature in London was exactly half way between Helsinki and Madrid. What was the temperature in London?

The diagram shows a regular pentagon.

A class of $32$ students vote on their favourite colour. They then draw a pie chart to show their results. The pie chart is shown on the right.

Find the value of $𝑥$ in the quadrilateral shown.

Julie and Sarika are doing a $24 \rtqMathsUnit{km}$ sponsored walk.

The plan on the right shows a garden. There is a $2 \rtqMathsUnit{m}$ wide path around the edge of the garden, with a swimming pool inside the path.

Find the area of the path.

Karen and Fran have some money. Karen has $\rtqMathsSymbolPound 9$ more than Fran, together they have $\rtqMathsSymbolPound 45$.

How much money does Karen have?

In the diagram below, the point $A$ has coordinates $(2,4)$.

In a car park there are $48$ cars. $\dfrac{3}{8}$ of the cars are blue and $25\%$ of the cars are red. How many cars are neither blue nor red?

Which of these is the largest number? (You must show your working)

• $2 + 0 \times 1 + 9$
• $2 \times 0 + 1 + 9$
• $2 + 0 \times 1 \times 9$
• $2 \times 0 + 1 + 9$
• $2 \times 0 \times 1 \times 9$

A new mathematical operation has been invented. For any two numbers $x \rtqMathsBinaryOperatorBlackSquare y$ means “add $4$ to $x$, then multiply by $y$”. So:

$8 \rtqMathsBinaryOperatorBlackSquare 2$ means $8 + 4$, then $\times 2$, giving $24$.

The bar graph below shows the number of cars in each household in a street.

What is $\dfrac{1}{4} \rtqMathsBinaryOperatorOf 20\% \rtqMathsBinaryOperatorOf \dfrac{1}{6} \rtqMathsBinaryOperatorOf 40\% \rtqMathsBinaryOperatorOf \rtqMathsSymbolPound 1200$?