# IGCSE Mathematics Paper-1: Specimen Questions with Answers 256 - 259 of 324

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## Question 256

### Write in Short

Points A, B and C are shown on the grid.

Plot the point D on the grid above so that ABCD is a rhombus.

### Explanation

• Here given the and D (x, y) be the vertices of a rhombus.
• Co-ordinates of the mid-point of AC are:

Co-ordinates of the mid-point of BD are:

We know that the diagonals of rhombus bisect each other.

Therefore midpoint of AC = midpoint of BD

Hence, the co-ordinate of the forth vertex is .

## Question 257

Edit

### Write in Short

The salaries A, B and C are in the ratio 3: 5: 2. If the increments of 20 % , 10 % and 30 % are allowed respectively in their salaries, then what will be new ratio of their salaries?

• Let

## Question 258

### Write in Short

A country has three political parties, the reds, the Blues and the Greens.

The pie chart shows the proportion of the total vote that each party received in an election.

Find the value of x.

### Explanation

• Here given the pie chart of the three political parties total votes

## Question 259

Edit

### Write in Short

Jeff has just completed a 8 kilometer race in 30 minutes. What was his average speed in kilometers per hour?

### Explanation

• First, 8 kilometers is a distance, so

• Now we can use the equation:

Jeff՚s average speed was 16 kilometers per hour

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