Frequency Trees Worksheet A Worksheets increase in difficulty

Frequency Trees – Worksheet A Worksheets increase in difficulty and are in 2 sizes.

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① Frequency Trees 1) Complete the frequency trees. water salad drama male 9 22 pasta juice 2) A computer game company surveyed 40 players about a game update. 7 adults liked the update. 14 of the 22 children asked liked the update. art 3) A restaurant recorded if customers ordered a soda with their meal. A third of those that had pizza had soda. 34 people ordered pasta with a soda. like soda adult pizza dislike 36 no soda 100 like child What fraction of the adults disliked the update? What fraction of those surveyed had pasta but no soda? 6 fail 4) A clothes shop recorded the gender & the money spent by customers spent in a day. Twice as many customers spent less than £ 20, than spent over £ 40. Of the customers that spent £ 20 -£ 40, three-quarters were female Less than £ 20 106 52 £ 20 to £ 40 Over £ 40 no soda 32 11 soda pasta dislike pass Science 8 12 fail 19 female 20 13 120 juice water fail pass English art drama 41 Maths 34 35 pass female 24 male female 18 What fraction of customers… …were male? …spent over £ 20?

Frequency Trees 1) A cake shop sells ‘standard’ (£ 2) & ‘luxury’ cakes (£ 3). On Sunday, a quarter of the customers ordered a luxury cake. Over the weekend, a third of the customers ordered a luxury cake. How much more revenue did the shop make from standard cakes compared to luxury cakes over the weekend? ② standard 2) Mike recorded the meals 120 students had at lunch. 14 students had a sandwich and no snack. Two-thirds of the students had a sandwich. Three-quarters of the students had a snack. 24 students had a snack but no sandwich. What fraction of students had no sandwich and no snack? Complete a frequency tree to help. Saturday luxury 15 standard 39 Sunday luxury 3) There are 3 types of seating at a concert A: £ 30 B: £ 20 C: £ 15 Tickets bought early get a 20% discount. 4) A robot factory makes gears, circuits & fans. After testing, two-thirds of the gears were faulty & one-fifth of the circuits were faulty. 60% of the items tested worked correctly. 56 fans that were tested worked correctly. 30% of the items tested were gears. The ratio of gears tested to circuits tested was 2: 3 Three-fifths of the 80 A tickets were bought early. 12 more people bought B tickets early than A tickets early. 133 people bought tickets early. For C tickets, the ratio of those bought early to on the door was 1 : 5 Show that the concert made more revenue from C tickets than A tickets. A B early not C How many items were tested? not early not gears circuits 40 faulty ok fans faulty ok

① Frequency Trees 1) Complete the frequency trees. water salad drama male 9 6 pasta 12 19 female 7 adults liked the update. 14 of the 22 children asked liked the update. like soda pizza 12 36 11 no soda 26 like 14 soda 34 pasta 22 dislike What fraction of the adults disliked the update? 8 64 30 What fraction of those surveyed had pasta but no soda? 22 fail 12 pass 26 fail 6 Twice as many customers spent less than £ 20, than spent over £ 40. Of the customers that spent £ 20 -£ 40, three-quarters were female. Less than £ 20 52 £ 20 to £ 40 28 Over £ 40 no soda pass 4) A clothes shop recorded the gender & the money spent by customers spent in a day. 106 100 13 32 11 A third of those that had pizza had soda. 34 people ordered pasta with a soda. fail 34 Science 3) A restaurant recorded if customers ordered a soda with their meal. 7 40 120 art 18 dislike English 30 8 2) A computer game company surveyed 40 players about a game update. child drama 20 juice adult 12 64 35 water art 41 54 Maths 34 15 juice 22 pass 26 male 28 female 24 male 7 female 21 male 8 female 18 What fraction of customers… …were male? …spent over £ 20?

Frequency Trees 1) A cake shop sells ‘standard’ (£ 2) & ‘luxury’ cakes (£ 3). On Sunday, a quarter of the customers ordered a luxury cake. Over the weekend, a third of the customers ordered a luxury cake. How much more revenue did the shop make from standard cakes compared to luxury cakes over the weekend? standard Saturday ② 17 32 2) Mike recorded the meals 120 students had at lunch. 14 students had a sandwich and no snack. Two-thirds of the students had a sandwich. Three-quarters of the students had a snack. 24 students had a snack but no sandwich. What fraction of students had no sandwich and no snack? Complete a frequency tree to help. snack 15 luxury standard Sunday 39 52 Three-fifths of the 80 A tickets were bought early. 12 more people bought B tickets early than A tickets early. 133 people bought tickets early. For C tickets, the ratio of those bought early to on the door was 1 : 5 A B 330 80 100 C 150 early 48 not 32 early 60 not 40 early 25 not 125 14 snack 24 no snack 16 40 13 3) There are 3 types of seating at a concert A: £ 30 B: £ 20 C: £ 15 Tickets bought early get a 20% discount. no snack 120 no sandwich luxury Show that the concert made more revenue from C tickets than A tickets. 80 sandwich 84 66 4) A robot factory makes gears, circuits & fans. After testing, two-thirds of the gears were faulty & one-fifth of the circuits were faulty. 60% of the items tested worked correctly. 56 fans that were tested worked correctly. 30% of the items tested were gears. The ratio of gears tested to circuits tested was 2: 3 How many items were tested? 30% 120 gears 45% 400 56 items = 14% of the total 400 circuits 20% faulty 10% 40 ok faulty 9% 180 fans 100 80 36 ok 36% 144 faulty 44 ok 56

① Frequency Trees 1) Complete the frequency trees. water salad drama male 9 22 pasta juice 2) A computer game company surveyed 40 players about a game update. 7 adults liked the update. 14 of the 22 children asked liked the update. art 3) A restaurant recorded if customers ordered a soda with their meal. A third of those that had pizza had soda. 34 people ordered pasta with a soda. like soda adult pizza dislike 36 no soda 100 like child What fraction of the adults disliked the update? What fraction of those surveyed had pasta but no soda? 6 fail 4) A clothes shop recorded the gender & the money spent by customers spent in a day. Twice as many customers spent less than £ 20, than spent over £ 40. Of the customers that spent £ 20 -£ 40, three-quarters were female Less than £ 20 106 52 £ 20 to £ 40 Over £ 40 no soda 32 11 soda pasta dislike pass Science 8 12 fail 19 female 20 13 120 juice water fail pass English art drama 41 Maths 34 35 pass female 24 male female 18 What fraction of customers… …were male? …spent over £ 20?

Frequency Trees 1) A cake shop sells ‘standard’ (£ 2) & ‘luxury’ cakes (£ 3). On Sunday, a quarter of the customers ordered a luxury cake. Over the weekend, a third of the customers ordered a luxury cake. How much more revenue did the shop make from standard cakes compared to luxury cakes over the weekend? ② standard 2) Mike recorded the meals 120 students had at lunch. 14 students had a sandwich and no snack. Two-thirds of the students had a sandwich. Three-quarters of the students had a snack. 24 students had a snack but no sandwich. What fraction of students had no sandwich and no snack? Complete a frequency tree to help. Saturday luxury 15 standard 39 Sunday luxury 3) There are 3 types of seating at a concert A: £ 30 B: £ 20 C: £ 15 Tickets bought early get a 20% discount. 4) A robot factory makes gears, circuits & fans. After testing, two-thirds of the gears were faulty & one-fifth of the circuits were faulty. 60% of the items tested worked correctly. 56 fans that were tested worked correctly. 30% of the items tested were gears. The ratio of gears tested to circuits tested was 2: 3 Three-fifths of the 80 A tickets were bought early. 12 more people bought B tickets early than A tickets early. 133 people bought tickets early. For C tickets, the ratio of those bought early to on the door was 1 : 5 Show that the concert made more revenue from C tickets than A tickets. A B early not C How many items were tested? not early not gears circuits 40 faulty ok fans faulty ok

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