Math Practice Problems - Supporting Ramps

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.

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Complexity=1, Mode=mx

Answer based on the diagram

1. Pearl built a ramp using 8 blocks and a board.

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

2. Peter built a ramp using 15 blocks and a board.

He wants to add another support tower at point 4 on the number line.
How tall should this tower be? block(s)

Complexity=3, Mode=mx

Answer based on the diagram

1. John built a ramp using 14 blocks and a board.

He wants to add support to the ramp with a tower of 10 blocks.
Where on the number line does the this tower belong?

2. Miguel built a ramp using 14 blocks and a board.

He wants to add another support tower at point 5 on the number line.
How tall should this tower be? block(s)

Complexity=1, Mode=ext

Answer based on the diagram

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

He wants to extend the ramp to reach point 9 on the number line.
How tall should the tower be at point 9? block(s)

2. John built a ramp using 1 block and a board.

He wants to extend the ramp to reach point 10 on the number line.
How tall should the tower be at point 10? block(s)

Complexity=3, Mode=ext

Answer based on the diagram

1. Steven built a ramp using 4 blocks and a board.

He wants to extend the ramp to reach point 7 on the number line.
How tall should the tower be at point 7? block(s)

2. Tiffany built a ramp using 15 blocks and a board.

She wants to extend the ramp to reach point 6 on the number line.
How tall should the tower be at point 6? block(s)

Complexity=1, Mode=mx+b

Answer based on the diagram

1. Steven built a ramp with 4 blocks on one end and 7 blocks on the other end.

He wants to add support to the ramp with a tower of 5 blocks.
Where on the number line does this tower belong?

2. Sharon built a ramp with 2 blocks on one end and 14 blocks on the other end.

She wants to add support to the ramp with a tower of 8 blocks.
Where on the number line does this tower belong?

Complexity=3, Mode=mx+b

Answer based on the diagram

1. Jose built a ramp with 4 blocks on one end and 22 blocks on the other end.

He wants to add support to the ramp with a tower of 10 blocks.
Where on the number line does this tower belong?

2. Peter built a ramp with 2 blocks on one end and 20 blocks on the other end.

He wants to add support to the ramp with a tower of 16 blocks.
Where on the number line does this tower belong?

Answers

Complexity=1, Mode=mx

Answer based on the diagram

Problem

Correct Answer

Your Answer

Pearl built a ramp using 8 blocks and a board.

She 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 8 blocks.
We are given the ratio of position : blocks :: 12 : 8.

Let n = the tower position.
Equation setup:

n = 6

Problem

Correct Answer

Your Answer

Peter built a ramp using 15 blocks and a board.

He wants to add another support tower at point 4 on the number line.
How tall should this tower be?

block(s)

Solution
For every 12 units on the number line, the board rises by 15 blocks.
We are given the ratio of position : blocks :: 12 : 15.

Let n = number of blocks.
Equation setup:

n = 5

Complexity=3, Mode=mx

Answer based on the diagram

Problem

Correct Answer

Your Answer

John built a ramp using 14 blocks and a board.

He wants to add support to the ramp with a tower of 10 blocks.
Where on the number line does the this tower belong?

Solution
For every 7 units on the number line, the board rises by 14 blocks.
We are given the ratio of position : blocks :: 7 : 14.

Let n = the tower position.
Equation setup:

n = 5

Problem

Correct Answer

Your Answer

Miguel built a ramp using 14 blocks and a board.

He wants to add another support tower at point 5 on the number line.
How tall should this tower be?

block(s)

Solution
For every 7 units on the number line, the board rises by 14 blocks.
We are given the ratio of position : blocks :: 7 : 14.

Let n = number of blocks.
Equation setup:

n = 10

Complexity=1, Mode=ext

Answer based on the diagram

Problem

Correct Answer

Your Answer

Paul built a ramp using 6 blocks and a board.

He wants to extend the ramp to reach point 9 on the number line.
How tall should the tower be at point 9?

block(s)

Solution
For every 3 units on the number line, the board rises by 6 blocks.
We are given the ratio of position : blocks :: 3 : 6.

Let n = number of blocks.
Equation setup:

n = 18

Problem

Correct Answer

Your Answer

John built a ramp using 1 block and a board.

He wants to extend the ramp to reach point 10 on the number line.
How tall should the tower be at point 10?

block(s)

Solution
For every 2 units on the number line, the board rises by 1 blocks.
We are given the ratio of position : blocks :: 2 : 1.

Let n = number of blocks.
Equation setup:

n = 5

Complexity=3, Mode=ext

Answer based on the diagram

Problem

Correct Answer

Your Answer

Steven built a ramp using 4 blocks and a board.

He wants to extend the ramp to reach point 7 on the number line.
How tall should the tower be at point 7?

block(s)

Solution
For every 2 units on the number line, the board rises by 4 blocks.
We are given the ratio of position : blocks :: 2 : 4.

Let n = number of blocks.
Equation setup:

n = 14

Problem

Correct Answer

Your Answer

Tiffany built a ramp using 15 blocks and a board.

She wants to extend the ramp to reach point 6 on the number line.
How tall should the tower be at point 6?

block(s)

Solution
For every 5 units on the number line, the board rises by 15 blocks.
We are given the ratio of position : blocks :: 5 : 15.

Let n = number of blocks.
Equation setup:

n = 18

Complexity=1, Mode=mx+b

Answer based on the diagram

Problem

Correct Answer

Your Answer

Steven built a ramp with 4 blocks on one end and 7 blocks on the other end.

He wants to add support to the ramp with a tower of 5 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 12, the ramp rises from 4 blocks to 7 blocks.
This means that for every 12 units on the number line, the board rises by 7 - 4, or 3, blocks.

Let n = the tower position.
For every n units, the board rises 5 - 4, or 1, blocks.
Equation setup:

n = 4

Problem

Correct Answer

Your Answer

Sharon built a ramp with 2 blocks on one end and 14 blocks on the other end.

She wants to add support to the ramp with a tower of 8 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 16, the ramp rises from 2 blocks to 14 blocks.
This means that for every 16 units on the number line, the board rises by 14 - 2, or 12, blocks.

Let n = the tower position.
For every n units, the board rises 8 - 2, or 6, blocks.
Equation setup:

n = 8

Complexity=3, Mode=mx+b

Answer based on the diagram

Problem

Correct Answer

Your Answer

Jose built a ramp with 4 blocks on one end and 22 blocks on the other end.

He wants to add support to the ramp with a tower of 10 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 9, the ramp rises from 4 blocks to 22 blocks.
This means that for every 9 units on the number line, the board rises by 22 - 4, or 18, blocks.

Let n = the tower position.
For every n units, the board rises 10 - 4, or 6, blocks.
Equation setup:

n = 3

Problem

Correct Answer

Your Answer

Peter built a ramp with 2 blocks on one end and 20 blocks on the other end.

He wants to add support to the ramp with a tower of 16 blocks.
Where on the number line does this tower belong?

Solution
From position 0 to position 9, the ramp rises from 2 blocks to 20 blocks.
This means that for every 9 units on the number line, the board rises by 20 - 2, or 18, blocks.

Let n = the tower position.
For every n units, the board rises 16 - 2, or 14, blocks.
Equation setup:

n = 7

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