Test 1

Proceeds or follows a given number

100

What number is before 120₄

113

200

What number follows 255₆

300

300

What number is before 727₈

726

400

What number follows 255₆

300

500

What number follows (4,11,11)₁₂

5,0,0

Models

100

Use the comparison model of subtraction to compute 301_Q-123_Q

112_Q

200

Use the takeaway model of subtraction to compute 211_Q-133_Q

12_Q

300

Use the standard algorithm to add 23323_Q+20233_Q+32133_Q

203021_Q

400

Use the standard algorithm to add 663₇+664₇+656₇

2646

500

Use the repeated addition model of multiplication to multiply 11_Qx213_Q

3003_Q

Convert to base 10

100

Convert 756₈ to base 10

494₁₀

200

Convert (10,9,7,8)₁₁ to base 10

14484₁₀

300

Convert 768₉ to base 10

629₁₀

400

Convert 21354₆ to base 10

2950₁₀

500

Convert (13,1,7,11)₁₅ to base 10

44,216

Convert to other bases

100

Convert 62,876 to base 9

105222₉

200

Convert 523,958 to base 12

213272₁₂

300

Convert 836 to base 5

11321₅

400

Convert 3791 to base 7

14024₇

500

Convert 573,885 to base 6

20144513₆

potpourri

100

Use the area model of multiplication to multiply 23_Qx132_Q

11022_Q

200

Use the partial product model of multiplication to multiply 32_Qx312_Q

23310_Q

300

Use the scaffolding method of division to compute 322131₄/223₄

1113₄

400

Use the standard algorithm to subtract 30102_Q-22233_Q

1203_Q

500

Use the standard algorithm to subtract (8,3,5,6)₁₁-(7,9,10,10)₁₁

0,4,5,7