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## Supporting Ramps - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### Complexity=1, Mode=mx

 1.   John built a ramp using 6 blocks and a board. He wants to add support to the ramp with a tower of 3 blocks. Where on the number line does the this tower belong? 2.   Jose built a ramp using 10 blocks and a board. He wants to add another support tower at point 3 on the number line. How tall should this tower be? block(s)

### Complexity=3, Mode=mx

 1.   Miguel built a ramp using 6 blocks and a board. He wants to add support to the ramp with a tower of 4 blocks. Where on the number line does the this tower belong? 2.   Mary built a ramp using 12 blocks and a board. She wants to add another support tower at point 1 on the number line. How tall should this tower be? block(s)

### Complexity=1, Mode=ext

 1.   Cindy built a ramp using 5 blocks and a board. She wants to extend the ramp to reach point 4 on the number line. How tall should the tower be at point 4? block(s) 2.   Mike built a ramp using 7 blocks and a board. He wants to extend the ramp to reach point 16 on the number line. How tall should the tower be at point 16? block(s)

### Complexity=3, Mode=ext

 1.   Paul built a ramp using 6 blocks and a board. He wants to extend the ramp to reach point 14 on the number line. How tall should the tower be at point 14? block(s) 2.   Cindy built a ramp using 12 blocks and a board. She wants to extend the ramp to reach point 12 on the number line. How tall should the tower be at point 12? block(s)

### Complexity=1, Mode=mx+b

 1.   Jennifer built a ramp with 3 blocks on one end and 9 blocks on the other end. She wants to add support to the ramp with a tower of 6 blocks. Where on the number line does this tower belong? 2.   Paul built a ramp with 2 blocks on one end and 12 blocks on the other end. He wants to add support to the ramp with a tower of 4 blocks. Where on the number line does this tower belong?

### Complexity=3, Mode=mx+b

 1.   Maria built a ramp with 1 block on one end and 15 blocks on the other end. She wants to add support to the ramp with a tower of 11 blocks. Where on the number line does this tower belong? 2.   Tiffany built a ramp with 2 blocks on one end and 8 blocks on the other end. She wants to add support to the ramp with a tower of 3 blocks. Where on the number line does this tower belong?

### Complexity=1, Mode=mx

1John built a ramp using 6 blocks and a board.

He wants to add support to the ramp with a tower of 3 blocks.
Where on the number line does the this tower belong?

Solution
For every 12 units on the number line, the board rises by 6 blocks.
We are given the ratio of position : blocks :: 12 : 6.

Let n = the tower position.
Equation setup:
 126 = n3
n = 6
2Jose built a ramp using 10 blocks and a board.

He wants to add another support tower at point 3 on the number line.
How tall should this tower be?

block(s)
Solution
For every 6 units on the number line, the board rises by 10 blocks.
We are given the ratio of position : blocks :: 6 : 10.

Let n = number of blocks.
Equation setup:
 610 = 3n
n = 5

### Complexity=3, Mode=mx

1Miguel built a ramp using 6 blocks and a board.

He wants to add support to the ramp with a tower of 4 blocks.
Where on the number line does the this tower belong?

Solution
For every 12 units on the number line, the board rises by 6 blocks.
We are given the ratio of position : blocks :: 12 : 6.

Let n = the tower position.
Equation setup:
 126 = n4
n = 8
2Mary built a ramp using 12 blocks and a board.

She wants to add another support tower at point 1 on the number line.
How tall should this tower be?

block(s)
Solution
For every 6 units on the number line, the board rises by 12 blocks.
We are given the ratio of position : blocks :: 6 : 12.

Let n = number of blocks.
Equation setup:
 612 = 1n
n = 2

### Complexity=1, Mode=ext

1Cindy built a ramp using 5 blocks and a board.

She wants to extend the ramp to reach point 4 on the number line.
How tall should the tower be at point 4?

block(s)
Solution
For every 2 units on the number line, the board rises by 5 blocks.
We are given the ratio of position : blocks :: 2 : 5.

Let n = number of blocks.
Equation setup:
 25 = 4n
n = 10
2Mike built a ramp using 7 blocks and a board.

He wants to extend the ramp to reach point 16 on the number line.
How tall should the tower be at point 16?

block(s)
Solution
For every 8 units on the number line, the board rises by 7 blocks.
We are given the ratio of position : blocks :: 8 : 7.

Let n = number of blocks.
Equation setup:
 87 = 16n
n = 14

### Complexity=3, Mode=ext

1Paul built a ramp using 6 blocks and a board.

He wants to extend the ramp to reach point 14 on the number line.
How tall should the tower be at point 14?

block(s)
Solution
For every 12 units on the number line, the board rises by 6 blocks.
We are given the ratio of position : blocks :: 12 : 6.

Let n = number of blocks.
Equation setup:
 126 = 14n
n = 7
2Cindy built a ramp using 12 blocks and a board.

She wants to extend the ramp to reach point 12 on the number line.
How tall should the tower be at point 12?

block(s)
Solution
For every 8 units on the number line, the board rises by 12 blocks.
We are given the ratio of position : blocks :: 8 : 12.

Let n = number of blocks.
Equation setup:
 812 = 12n
n = 18

### Complexity=1, Mode=mx+b

1Jennifer built a ramp with 3 blocks on one end and 9 blocks on the other end.

She wants to add support to the ramp with a tower of 6 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 16, the ramp rises from 3 blocks to 9 blocks.
This means that for every 16 units on the number line, the board rises by 9 - 3, or 6, blocks.

Let n = the tower position.
For every n units, the board rises 6 - 3, or 3, blocks.
Equation setup:
 166 = n3
n = 8
2Paul built a ramp with 2 blocks on one end and 12 blocks on the other end.

He wants to add support to the ramp with a tower of 4 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 5, the ramp rises from 2 blocks to 12 blocks.
This means that for every 5 units on the number line, the board rises by 12 - 2, or 10, blocks.

Let n = the tower position.
For every n units, the board rises 4 - 2, or 2, blocks.
Equation setup:
 510 = n2
n = 1

### Complexity=3, Mode=mx+b

1Maria built a ramp with 1 block on one end and 15 blocks on the other end.

She wants to add support to the ramp with a tower of 11 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 7, the ramp rises from 1 block to 15 blocks.
This means that for every 7 units on the number line, the board rises by 15 - 1, or 14, blocks.

Let n = the tower position.
For every n units, the board rises 11 - 1, or 10, blocks.
Equation setup:
 714 = n10
n = 5
2Tiffany built a ramp with 2 blocks on one end and 8 blocks on the other end.

She wants to add support to the ramp with a tower of 3 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 18, the ramp rises from 2 blocks to 8 blocks.
This means that for every 18 units on the number line, the board rises by 8 - 2, or 6, blocks.

Let n = the tower position.
For every n units, the board rises 3 - 2, or 1, blocks.
Equation setup:
 186 = n1
n = 3