The London Independent Girls' Schools Consortium 2011 · Group 1

$5628 + 7974 =$

$6321 - 576 =$

$2794 \times 8 =$

$4644 \div 6 =$

Write the correct number in each box.

$\begin{aligned} 246 + \rtqMathsBoxedEmptyValueTwoDigitsWide &= 246 \\\\ 246 - \rtqMathsBoxedEmptyValueTwoDigitsWide &= 246 \\\\ 246 \times \rtqMathsBoxedEmptyValueTwoDigitsWide &= 246 \\\\ 246 \div \rtqMathsBoxedEmptyValueTwoDigitsWide &= 246 \end{aligned}$

What number between $30$ and $40$ is divisible by both $3$ and $4$?

Circle all the numbers below that are more than $\dfrac{1}{4}$.

$0.2 \rtqMathsListSeparator \dfrac{1}{5} \rtqMathsListSeparator 0.4 \rtqMathsListSeparator \dfrac{3}{8} \rtqMathsListSeparator 0.027$

Write the number twenty thousand, three hundred and six in figures.

Give two numbers which add up to make $40$ and have a difference of $10$.

This number plate has the number $279$.

$\rtqMathsSizeEight{\rtqMathsBoxedValueOneDigitPaddingEachSide{2 \rtqMathsSpaceQuarterEm 7 \rtqMathsSpaceQuarterEm 9}}$

Write down all the other $3$-figure numbers you could make using $2, 7$ and $9$.

You can only use $2, 7$ and $9$ once in each $3$-figure number.

Kyra parks her car at $10.30 \rtqMathsTimeAm$. She collects the car at $2.15 \rtqMathsTimePm$.

How much does she have to pay?

The amount of each ingredient needed to make $8$ cakes is given in the table below.

Complete the table to show how much of each ingredient is needed to make $12$ cakes.

Josie and Holly share $\rtqMathsSymbolPound 42$ between them. Josie has three times as much as Holly.

How much has Holly?

$3$ apples and $1$ orange cost $58 \rtqMathsUnitCurrencyPence$.

$1$ apple and $3$ oranges cost $62 \rtqMathsUnitCurrencyPence$.

Anthony conducted a survey in his year group to find out what pets the children had. He constructed a pie chart from his results. The total number of cats in the survey was $48$.

Mr. and Mrs. Green and their four children went on holiday. The accomodation cost $\rtqMathsSymbolPound 320$ per adult and $\rtqMathsSymbolPound 220$ per child. The travelling expenses were $\rtqMathsSymbolPound 222$ per adult and $\rtqMathsSymbolPound 168$ per child.

How much did their total holiday cost in total?

Here is part of a train timetable for trains running from Bunley to Wester.

Etienne went to her local greengrocers to buy some fruit. Some of the prices are shown below.

She bought $6$ bananas, $2$ grapefruit and half a kilogram of cherries.

A pizza is divided into $12$ equal slices.

Matthew eats $\dfrac{1}{4}$ of the pizza and Katie eats another $\dfrac{1}{6}$.

How many slices are left?

In the following sequences, puts the missing numbers in the boxes shown.

Five children collect money to plant trees. Here is a bar chart of the amounts they have raised so far. Their target is $\rtqMathsSymbolPound 50$ altogether.

Helena went on a journey.

She spent $\dfrac{1}{2}$ of her total travelling time in the car. She then spent $\dfrac{1}{2}$ of her remaining travelling time on the train. She spent $2 \rtqMathsUnit{hours}$ on the train.

Below is a shape made of six identical triangles arranged around a square.

Draw in all the lines of symmetry on the shapes below.

Note: some shapes may not have any.

Here are several nets.

Circle the one which will not fold up to make a cube.

Shade the least number of squares required to make the dotted line shown a line of symmetry.

The perimeter of this square is $36 \rtqMathsUnit{cm}$.

Here are two thermometer readings taken at the same time on Monday and Tuesday.

How many rectangles with a length of $3 \rtqMathsUnit{cm}$ and width of $1 \rtqMathsUnit{cm}$ would it take to fill the shape below with no overlapping?

A child has made a series of towers. The first three are shown.

The object below is made up of $5$ identical blocks.

The view in the direction of arrow $B$ is shown below.

Draw the views that are seen in the direction of arrows $A$ and $C$ using the grids below.

The graph shows the weight of baby Anup in the first $8 \rtqMathsUnit{weeks}$ of his life.

The faces of a cube have the numbers from $1$ to $6$ written on them. The numbers on opposite faces always add up to $7$.

A view of the cube is shown on the right. The net of the cube (below) shows two of the numbers on the faces.

Fill in all the missing numbers.

In each diagram the numbers in any two circles add up to the number in the square between them.

A completed example is given in the diagram on the left. Complete the diagram on the right.

Four $4$s can be used to make the numbers $1, 2, 3$ and $4$ using only $+, -, \times, \div$ and brackets. This is shown below.

$\begin{aligned} 4 \div 4 + 4 - 4 &= 1 \\\\ 4 \times 4 \div (4 + 4) &= 2 \\\\ (4 + 4 + 4) \div 4 &= 3 \\\\ (4 - 4) \div 4 + 4 &= 4 \end{aligned}$

Write the numbers $17, 7$ and $5$ using all four $4$s and only $+, -, \times, \div$ and brackets.

Silvio has some number cards.

$c \rtqMathsBinaryOperatorAsterisk d$ means multiply $c$ by itself and then add $c$ times $d$.

$\begin{array}{rr} \text{e.g.} & 3 \rtqMathsBinaryOperatorAsterisk 4 \\\\ \text{means} & 3 \times 3 + 3 \times 4 \\\\ \text{which equals} & 9 + 12 \\\\ \text{which gives an answer of} & 21 \end{array}$

Find the smallest number which leaves a remainder of $1$ when divided by $5$ or $6$ or $7$.