Can You Pass Chinese 6th Grade Math? (3 Real Exam Questions)

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1. Can you pass Chinese Grade 6 math? Warm-up · tricky · hard
   Can you pass Chinese grade six math? Three real questions from a final exam in Suzhou, China: a warm-up, a tricky one, and a hard one.
2. Q1 · 12 ÷ ( ) = 0.75 = ( )/20 = ( )%
   Warm-up. Fill in the blanks: twelve divided by what is zero point seven five, which is what over twenty, which is what percent?
3. Q2 · 30% salt water + 6 g salt + 14 g water → ?
   The tricky one. Salt water is thirty percent salt. Add six grams of salt and fourteen grams of water. Is it more salty, less salty, or still thirty percent?
4. Q3 · vouchers vs 30% off · which is cheaper?
   The hard one. Mom and Dad take Xiaohong out for barbecue. Option one: vouchers. Each costs fifty-nine yuan and covers one hundred yuan of food. At most two per table, and the rest is paid in cash. Option two: pay cash and get thirty percent off. They expect to spend eighty yuan per person. Which option is cheaper?
5. Answers: 16, 15, 75 · still 30% · vouchers (158 vs 168)
   Answers. One: sixteen, fifteen, seventy-five. Two: still thirty percent. Three: the vouchers, one fifty-eight yuan against one sixty-eight.
6. 3/3 pass · 2/3 almost · 0–1 not yet
   Three out of three? You pass Chinese grade six. Two? Almost. Zero or one? Not yet. Now the full solutions.
7. Q1: 12 ÷ 0.75 = 16 · 0.75 = 15/20 · = 75%
   Question one. Twelve divided by zero point seven five is sixteen. Zero point seven five is three quarters, which is fifteen twentieths. And zero point seven five is seventy-five hundredths: seventy-five percent.
8. Q2: added part 6 ÷ 20 = 30% → still 30%
   Question two. The part you add is six grams of salt in twenty grams total. Six out of twenty is thirty percent: the same as before. So it's still thirty percent.
9. Q3: vouchers ¥158 vs cash ¥168
   Question three. Mom, Dad and Xiaohong: three people at eighty yuan each is two hundred forty. Two vouchers cost one hundred eighteen and cover two hundred. The last forty is cash, so the total is one fifty-eight. Paying cash at thirty percent off: two forty times seventy percent is one sixty-eight. So the vouchers save ten yuan.