{"19268":{"correct_answer":0,"answer0":"22 cm\u00b2","explanation":"Rectangle B = 3 cm \u00d7 6 cm = 18 cm\u00b2.<br>Square A = 2 cm \u00d7 2 cm = 4 cm\u00b2.<br>Total = 18 + 4 = 22 cm\u00b2."},"15749":{"correct_answer":1,"answer0":"Q","explanation":"A 3\/4 turn clockwise = 270 degrees.<br>Starting facing north-west and turning 270 degrees clockwise ends facing south-west.<br>From P, the south-west direction points to T.<br>Answer: T."},"17016":{"correct_answer":3,"answer0":"14","explanation":"Age this year is a multiple of 7; next year (age + 1) is a multiple of 6.<br>49 is a multiple of 7 and 49 + 1 = 50 is not a multiple of 6...<br>check: 14+1=15 no; 35+1=36 yes (36=6x6, 35=7x5).<br>So 35 works.<br>Re-check key: key gives option 4 = 49? 49+1=50 not multiple of 6.<br>The valid answer is 35."},"17251":{"correct_answer":1,"answer0":"43\u00b0","explanation":"Angle ADC of the rectangle is 90\u00b0.<br>The three angles at D add up to 90\u00b0: 26\u00b0 + x + 21\u00b0 = 90\u00b0, so x = 90\u00b0 \u2212 26\u00b0 \u2212 21\u00b0 = 43\u00b0.<br>Answer: 43\u00b0."},"16150":{"correct_answer":1,"answer0":"30 degrees","explanation":"Each corner of a square is 90 degrees.<br>At J, angle MJK = 90, and angle MJP (the 60 marked) is part of it, so angle KJP = 90 - 60 = 30.<br>At M, angle JML = 90, and the 36 marked is angle PML, so angle JMP = 90 - 36 = 54.<br>Sum = 30 + 54 = 84 degrees."},"19103":{"correct_answer":3,"answer0":"$16","explanation":"Fraction left = \\(1 - \\dfrac{4}{9} = \\dfrac{5}{9}\\), which equals $80. So \\(\\dfrac{1}{9}\\) = $80 \u00f7 5 = $16, and the whole = $16 \u00d7 9 = $144... check: $144 \u00d7 \\(\\dfrac{5}{9}\\) = $80. Total money at first = $144."},"21310":{"correct_answer":0,"answer0":"$30","explanation":"40 \u00f7 7 = 5 bags with remainder 5 plums.<br>5 bags \u00d7 $6 = $30, plus 5 plums \u00d7 $1 = $5.<br>Total = $30 + $5 = $35. Answer: $35."},"22886":{"correct_answer":1,"answer0":"$14","explanation":"Equal numbers means the count is a common multiple of 2 and 5.<br>Least common multiple = 10.<br>For 10 cupcakes: 5 sets x $7 = $35; for 10 doughnuts: 2 sets x $10 = $20.<br>Total = $35 + $20 = $55. (The least amount among the options that gives equal whole sets is $55.)"},"16244":{"correct_answer":null,"answer0":"82","explanation":"\u2220MNO is a right angle (90\u00b0).<br>The angles at N are 17\u00b0 (\u2220MNA), \u2220ANB, and 51\u00b0 (\u2220BNO).<br>So \u2220ANB = 90\u00b0 - 17\u00b0 - 51\u00b0 = 22\u00b0.<br>[Answer key states 82\u00b0 via 17 + 51 = 68 then 90 - 68 = 22; printed final value 82 appears to be a key typo \u2014 the correct value is 22\u00b0.]"},"23390":{"correct_answer":null,"answer0":"2400","explanation":"Let Bobby = 1 unit.<br>Ali = 1 unit + 1000, Calvin = 1 unit - 300.<br>Total = 3 units + 1000 - 300 = 4000, so 3 units = 4000 - 700 = 3300, 1 unit = 1100.<br>Calvin = 1100 - 300 = $800. (The printed answer of 2400 is the value of 3 units before division; Calvin actually has $800.)"}}