Practise
Papers
Your area
Past papers
Get ready
Learn and practise
One table
Year 4 check
Spelling lists
More English
Home / Practice / Maths
Reading and writing coordinates, translating a point, and finding a missing corner.
Question 1 of 12
The point (3, 7) is translated 2 right and 6 up. What are its new coordinates?
Coordinates are written across first, then up: (x, y). Moving 2 right and 6 up changes the x from 3 to 5 and the y from 7 to 13, giving (5, 13). Left and down make the number smaller even when that means going further below zero. Right and up add; left and down subtract. Negatives follow the same rule.
The answer is B. Coordinates are written across first, then up: (x, y). Moving 2 right and 6 up changes the x from 3 to 5 and the y from 7 to 13, giving (5, 13). Left and down make the number smaller even when that means going further below zero. Right and up add; left and down subtract. Negatives follow the same rule.
Three corners of a rectangle are at (2, -4), (8, -4) and (2, 0). Where is the fourth corner?
Two of the given corners share the same y value (-4), so they form the bottom edge, running from x = 2 to x = 8. Two share the same x value (2), forming the left edge from y = -4 to y = 0. The fourth corner is diagonally opposite (2, -4): it takes its x from one neighbour and its y from the other, giving (8, 0). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The answer is B. Two of the given corners share the same y value (-4), so they form the bottom edge, running from x = 2 to x = 8. Two share the same x value (2), forming the left edge from y = -4 to y = 0. The fourth corner is diagonally opposite (2, -4): it takes its x from one neighbour and its y from the other, giving (8, 0). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The point (8, 0) is translated 3 left and 1 down. What are its new coordinates?
Coordinates are written across first, then up: (x, y). Moving 3 left and 1 down changes the x from 8 to 5 and the y from 0 to -1, giving (5, -1). Left and down make the number smaller even when that means going further below zero. Along the corridor, then up the stairs. It is the oldest way of remembering which number comes first, and it works.
The answer is C. Coordinates are written across first, then up: (x, y). Moving 3 left and 1 down changes the x from 8 to 5 and the y from 0 to -1, giving (5, -1). Left and down make the number smaller even when that means going further below zero. Along the corridor, then up the stairs. It is the oldest way of remembering which number comes first, and it works.
The point (-4, -6) is translated 3 left and 3 up. What are its new coordinates?
Coordinates are written across first, then up: (x, y). Moving 3 left and 3 up changes the x from -4 to -7 and the y from -6 to -3, giving (-7, -3). Left and down make the number smaller even when that means going further below zero. Right and up add; left and down subtract. Negatives follow the same rule.
The answer is C. Coordinates are written across first, then up: (x, y). Moving 3 left and 3 up changes the x from -4 to -7 and the y from -6 to -3, giving (-7, -3). Left and down make the number smaller even when that means going further below zero. Right and up add; left and down subtract. Negatives follow the same rule.
The point (-2, 7) is translated 5 left and 2 down. What are its new coordinates?
Coordinates are written across first, then up: (x, y). Moving 5 left and 2 down changes the x from -2 to -7 and the y from 7 to 5, giving (-7, 5). Left and down make the number smaller even when that means going further below zero. Write the brackets and the comma. A pair of coordinates without them is easy to misread.
The answer is A. Coordinates are written across first, then up: (x, y). Moving 5 left and 2 down changes the x from -2 to -7 and the y from 7 to 5, giving (-7, 5). Left and down make the number smaller even when that means going further below zero. Write the brackets and the comma. A pair of coordinates without them is easy to misread.
Three corners of a rectangle are at (2, 1), (8, 1) and (2, 5). Where is the fourth corner?
Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 2 to x = 8. Two share the same x value (2), forming the left edge from y = 1 to y = 5. The fourth corner is diagonally opposite (2, 1): it takes its x from one neighbour and its y from the other, giving (8, 5). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The answer is D. Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 2 to x = 8. Two share the same x value (2), forming the left edge from y = 1 to y = 5. The fourth corner is diagonally opposite (2, 1): it takes its x from one neighbour and its y from the other, giving (8, 5). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
Three corners of a rectangle are at (2, -2), (9, -2) and (2, 3). Where is the fourth corner?
Two of the given corners share the same y value (-2), so they form the bottom edge, running from x = 2 to x = 9. Two share the same x value (2), forming the left edge from y = -2 to y = 3. The fourth corner is diagonally opposite (2, -2): it takes its x from one neighbour and its y from the other, giving (9, 3). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
The answer is D. Two of the given corners share the same y value (-2), so they form the bottom edge, running from x = 2 to x = 9. Two share the same x value (2), forming the left edge from y = -2 to y = 3. The fourth corner is diagonally opposite (2, -2): it takes its x from one neighbour and its y from the other, giving (9, 3). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
Three corners of a rectangle are at (-1, 3), (1, 3) and (-1, 9). Where is the fourth corner?
Two of the given corners share the same y value (3), so they form the bottom edge, running from x = -1 to x = 1. Two share the same x value (-1), forming the left edge from y = 3 to y = 9. The fourth corner is diagonally opposite (-1, 3): it takes its x from one neighbour and its y from the other, giving (1, 9). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The answer is A. Two of the given corners share the same y value (3), so they form the bottom edge, running from x = -1 to x = 1. Two share the same x value (-1), forming the left edge from y = 3 to y = 9. The fourth corner is diagonally opposite (-1, 3): it takes its x from one neighbour and its y from the other, giving (1, 9). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
Three corners of a rectangle are at (1, 3), (7, 3) and (1, 10). Where is the fourth corner?
Two of the given corners share the same y value (3), so they form the bottom edge, running from x = 1 to x = 7. Two share the same x value (1), forming the left edge from y = 3 to y = 10. The fourth corner is diagonally opposite (1, 3): it takes its x from one neighbour and its y from the other, giving (7, 10). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The answer is A. Two of the given corners share the same y value (3), so they form the bottom edge, running from x = 1 to x = 7. Two share the same x value (1), forming the left edge from y = 3 to y = 10. The fourth corner is diagonally opposite (1, 3): it takes its x from one neighbour and its y from the other, giving (7, 10). Sketching the three points on squared paper makes the missing one obvious. Look for the pairs that share an x or a y. They tell you which edges you already have.
The point (1, 5) is translated 3 right and 3 down. What are its new coordinates?
Coordinates are written across first, then up: (x, y). Moving 3 right and 3 down changes the x from 1 to 4 and the y from 5 to 2, giving (4, 2). Left and down make the number smaller even when that means going further below zero. Along the corridor, then up the stairs. It is the oldest way of remembering which number comes first, and it works.
The answer is C. Coordinates are written across first, then up: (x, y). Moving 3 right and 3 down changes the x from 1 to 4 and the y from 5 to 2, giving (4, 2). Left and down make the number smaller even when that means going further below zero. Along the corridor, then up the stairs. It is the oldest way of remembering which number comes first, and it works.
Three corners of a rectangle are at (0, 1), (3, 1) and (0, 6). Where is the fourth corner?
Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 0 to x = 3. Two share the same x value (0), forming the left edge from y = 1 to y = 6. The fourth corner is diagonally opposite (0, 1): it takes its x from one neighbour and its y from the other, giving (3, 6). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
The answer is D. Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 0 to x = 3. Two share the same x value (0), forming the left edge from y = 1 to y = 6. The fourth corner is diagonally opposite (0, 1): it takes its x from one neighbour and its y from the other, giving (3, 6). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
Three corners of a rectangle are at (1, 1), (6, 1) and (1, 7). Where is the fourth corner?
Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 1 to x = 6. Two share the same x value (1), forming the left edge from y = 1 to y = 7. The fourth corner is diagonally opposite (1, 1): it takes its x from one neighbour and its y from the other, giving (6, 7). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
The answer is C. Two of the given corners share the same y value (1), so they form the bottom edge, running from x = 1 to x = 6. Two share the same x value (1), forming the left edge from y = 1 to y = 7. The fourth corner is diagonally opposite (1, 1): it takes its x from one neighbour and its y from the other, giving (6, 7). Sketching the three points on squared paper makes the missing one obvious. In a rectangle the opposite corner shares one coordinate with each of its neighbours.
Keep a record of how this went? It stays in this browser only and is never sent to us. You can clear it any time.
Saved to your record on this device. See the record
Try another set Pick a different topic
More shape and space first, then the rest of maths.
Every maths topic · A timed maths mock paper
For grown-ups: message us
A question, an idea, or something that isn't working? We read every message.
Please don't include a child's name or school.
Saved and sent to our inbox. Privacy
Thank you
Your message has reached us.