Workbook Detail
Number Pyramid Mixed 3layer Medium — Set 65
This page uses a content type that does not have a custom renderer yet. Raw structured data is shown below.
{
"outputTargets": {
"screen": true,
"print": true,
"pdf": true,
"answerKey": true
},
"_meta": {
"nodeId": "node-1-leaf-pyramid-mixed-3layer-medium",
"pageNumber": 65,
"generatedAt": "2026-03-16T15:21:51.133Z",
"generatorVersion": "v7.2.1-wp-g2",
"seed": "02d12c271b9479a5",
"seedInput": "1|node-1-leaf-pyramid-mixed-3layer-medium|65|1.0.0|",
"schemaVersion": "2.0.0",
"mathTemplateId": null,
"archetype": "guided-solver",
"siteId": 1
},
"semantics": {
"solvability": {
"isDeterministic": true,
"solutionCount": 1
},
"difficulty": {
"declaredLevel": "medium",
"computedScore": 18,
"metrics": {
"problemCount": 4,
"operation": "pyramid",
"digits": 2,
"regrouping": false
}
},
"diversity": {
"structuralHash": "b561ffddb4091138e540d36399321e87",
"contentFingerprint": "ba9197cb690150c9"
},
"interaction": {
"checkable": true,
"revealable": true,
"randomizable": true,
"hintable": false,
"progressable": true,
"inputType": [
"text-input"
]
}
},
"version": "2.0",
"generatorId": "arithmetic-generator-v7.2.1",
"operation": "pyramid",
"subject": "arithmetic",
"difficulty": "medium",
"config": {
"difficulty": "medium",
"maxNumber": 10
},
"problems": [
{
"type": "number-pyramid",
"subType": "number-pyramid",
"difficulty": "medium",
"question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [34] → [_, 19] → [_, 10, _] → [3, 2, _, 1]",
"answer": "Row3[3]=9, Row2[1]=15, Row4[3]=8, Row3[1]=5",
"levels": [
[
34
],
[
15,
19
],
[
5,
10,
9
],
[
3,
2,
8,
1
]
],
"base": [
3,
2,
8,
1
],
"topValue": 34,
"hiddenCells": [
{
"r": 2,
"c": 2,
"v": 9
},
{
"r": 1,
"c": 0,
"v": 15
},
{
"r": 3,
"c": 2,
"v": 8
},
{
"r": 2,
"c": 0,
"v": 5
}
]
},
{
"type": "number-pyramid",
"subType": "number-pyramid",
"difficulty": "medium",
"question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [_, 25] → [8, _, 13] → [_, 7, 5, 8]",
"answer": "Row1[1]=45, Row2[1]=20, Row4[1]=1, Row3[2]=12",
"levels": [
[
45
],
[
20,
25
],
[
8,
12,
13
],
[
1,
7,
5,
8
]
],
"base": [
1,
7,
5,
8
],
"topValue": 45,
"hiddenCells": [
{
"r": 0,
"c": 0,
"v": 45
},
{
"r": 1,
"c": 0,
"v": 20
},
{
"r": 3,
"c": 0,
"v": 1
},
{
"r": 2,
"c": 1,
"v": 12
}
]
},
{
"type": "number-pyramid",
"subType": "number-pyramid",
"difficulty": "medium",
"question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [22, _] → [13, 9, 10] → [9, _, 5, _]",
"answer": "Row4[2]=4, Row4[4]=5, Row1[1]=41, Row2[2]=19",
"levels": [
[
41
],
[
22,
19
],
[
13,
9,
10
],
[
9,
4,
5,
5
]
],
"base": [
9,
4,
5,
5
],
"topValue": 41,
"hiddenCells": [
{
"r": 3,
"c": 1,
"v": 4
},
{
"r": 3,
"c": 3,
"v": 5
},
{
"r": 0,
"c": 0,
"v": 41
},
{
"r": 1,
"c": 1,
"v": 19
}
]
},
{
"type": "number-pyramid",
"subType": "number-pyramid",
"difficulty": "medium",
"question": "Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [29, 27] → [_, _, 14] → [9, _, 6, 8]",
"answer": "Row1[1]=56, Row4[2]=7, Row3[1]=16, Row3[2]=13",
"levels": [
[
56
],
[
29,
27
],
[
16,
13,
14
],
[
9,
7,
6,
8
]
],
"base": [
9,
7,
6,
8
],
"topValue": 56,
"hiddenCells": [
{
"r": 0,
"c": 0,
"v": 56
},
{
"r": 3,
"c": 1,
"v": 7
},
{
"r": 2,
"c": 0,
"v": 16
},
{
"r": 2,
"c": 1,
"v": 13
}
]
}
],
"layout": {
"columns": 2,
"problemsPerPage": 20
},
"_archetype": "guided-solver",
"_generatorId": "arithmetic-generator-v7.2.1"
}Teaching Notes
- Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [34] → [_, 19] → [_, 10, _] → [3, 2, _, 1]
- Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [_, 25] → [8, _, 13] → [_, 7, 5, 8]
- Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [22, _] → [13, 9, 10] → [9, _, 5, _]
- Number Pyramid: Each block equals the sum of the two blocks below it. Fill the missing values. Pyramid (top to bottom): [_] → [29, 27] → [_, _, 14] → [9, _, 6, 8]
Practice number pyramid mixed 3layer with free printable worksheets. Uniquely generated — reinforce key math skills with every set.
Frequently Asked Questions
How do I use this Number Pyramid Mixed 3layer Medium Worksheets worksheet?
Print the worksheet and complete the problems. Each set number generates a unique arrangement. Use the same set number for all students in a class for consistent assessment.
Is there an answer key?
Yes — every worksheet includes a complete answer key. Print it separately or view it on screen.