Whole Numbers

Detailed Explanation & Practice Questions

Concept Explanation

Whole numbers include the four operations (addition, subtraction, multiplication, division), order of operations (BODMAS), factors, multiples, and rounding off to the nearest 10, 100, or 1000. Pay special attention to word problems involving grouping, remainder, and the 6 common models: Comparison, Simultaneous, Systematic Listing, Excess & Shortage, Assumption, and Grouping.

Practice Questions

6 Questions

Type 1: Comparison Model
Andrew, Pat, and Bernard shared a total of 221 toy cars. Andrew received 25 toy cars fewer than Pat and 35 toy cars more than Bernard. How many toy cars did Bernard receive?

A.42

B.77

C.102

D.35

Type 2: Simultaneous Concept
The total cost of 3 hairclips and 5 hairbands was $31. The total cost of 5 hairclips and 2 hairbands was $20. How much did each hairclip cost?

A.$2

B.$3

C.$4

D.$5

Type 3: Systematic Listing
Ken has some pens and he wants to pack them into boxes. If he packs them into boxes of 7, there will be 3 pens left. If he packs them into boxes of 6, he will be short of 3 pens. What is the smallest whole number of pens Ken has?

A.45

B.31

C.27

D.51

Type 4: Excess and Shortage
A group of boys share a packet of erasers. If each boy gets 7 erasers, they need 6 more. If each gets 4 erasers, 3 are left. How many erasers are there?

A.15

B.12

C.21

D.9

Type 5: Assumption Method
AGrader bought 26 tables and chairs. A table costs $120 and a chair costs $80. The total cost was $2600. How many chairs were bought?

A.13

B.10

C.15

D.16

Type 6: Grouping Method
Judy bought an equal number of muffins and tarts. A muffin costs $2 and a tart costs $1. She paid $201 in total. How many items did she buy in total?

A.134

B.67

C.201

D.100

Concept Explanation

Practice Questions

Type 1: Comparison ModelAndrew, Pat, and Bernard shared a total of 221 toy cars. Andrew received 25 toy cars fewer than Pat and 35 toy cars more than Bernard. How many toy cars did Bernard receive?

Type 2: Simultaneous ConceptThe total cost of 3 hairclips and 5 hairbands was $31. The total cost of 5 hairclips and 2 hairbands was $20. How much did each hairclip cost?

Type 3: Systematic ListingKen has some pens and he wants to pack them into boxes. If he packs them into boxes of 7, there will be 3 pens left. If he packs them into boxes of 6, he will be short of 3 pens. What is the smallest whole number of pens Ken has?

Type 4: Excess and ShortageA group of boys share a packet of erasers. If each boy gets 7 erasers, they need 6 more. If each gets 4 erasers, 3 are left. How many erasers are there?