week 3 5-6

Patterns

100

3, 8, 18, 38, 78, ___, ___, ___

Answer: 158, 318, 638
(×2 + 2)

200

2, 5, 11, 23, 47, ___, ___, ___

Answer: 95, 191, 383
(×2 + 1)

300

1, 2, 6, 24, 120, ___, ___, ___

Answer: 720, 5,040, 40,320

Rule: Multiply by consecutive whole numbers:
×2, ×3, ×4, ×5, ×6, ×7, ×8

400

1, 4, 10, 19, 31, 46, ___, ___, ___

Answer: 64, 85, 109
(Add by increasing up by 3 each time: +3, +6, +9, +12, +15, +18, +21, +24)

500

4, 9, 18, 23, 46, 51, ___, ___, ___

Answer: 102, 107, 214
Rule: +5, ×2, +5, ×2, +5, ×2...

Long Division

100

1,764 ÷ 12

147

200

2,815 ÷ 13

216 R7

300

3,472 ÷ 15

231 R7

400

4,301 ÷ 17

253

500

5,728 ÷ 21

272 R16

Fractions

100

11/12 - 5/18 

23/36

200

2 and 3/5 + 1 and 7/10

4 and 3/10

300

A recipe calls for 2 3/4 cups of flour. Emma has already added 1 2/5 cups. How much more flour does she need?

Answer: 1 7/20 cups

400

Liam ate 5/12 of a pizza for lunch and 3/8 for dinner. How much pizza did he eat altogether?

Answer: 19/24 of a pizza

500

A ribbon is 8 1/4 m long. Mia uses 2 3/8 m and then 1 5/6 m. How much ribbon is left?

Answer: 4 1/24 m

Riddles

100

I am a number. Double me and add 4 to get 20. What am I?

8

200

I am a number. Multiply me by 4 and subtract 5 to get 43. What am I?

12

300

I am a number. Double me and subtract 8 to get 54. What am I?

31

400

I am a number. Add 17 to me and then divide by 3 to get 19. What am I?

40

500

I am a two-digit number. My digits add to 12, and my tens digit is 4 more than my ones digit. What am I?

84

Word Problems

100

A recipe needs 3 1/2 cups of flour. Olivia has already added 1 3/4 cups and then another 2/3 cup. Does she have enough flour? If not, how much more does she need?

Answer: No. She needs 1/12 cup more.

200

A water bottle holds 2 liters. Ethan drinks 5/8 liter before practice and 3/10 liter afterward. How much water is left?

Answer: 1 3/40 liters

300

A recipe needs 2 1/2 cups of sugar. Ava has already added 1 3/4 cups. How much more sugar does she need?

3/4 cup

400

A fish tank is 7/12 full. Liam adds enough water to fill 1/4 of the tank. Then 1/6 of the tank leaks out. What fraction of the tank is full now?

2/3 full

500

A class ordered 15 pizzas. Each pizza has 8 slices. Students ate 3/5 of all the slices. How many slices are left?

48 slices