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Mathematics and statistics, Questions and answers
Typology: Exercises
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There are 150 pupils in^ Year^ 1O. Pupils either have school^ lunches^ or^ packed lunches"
45 girls have school lunches and^ 39 boys have school^ iunches.
Complete the frequency^ tree.
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Srhq:sl1u:chs
r-: (^) - ---^ I 1, ,--..-1. .-. -:
-fichn*l l.r-rnches
Faclted. hilrc&:es
25 af the cars are white. 13 of ttre non-white cars are^ convertibles^ and^ 2l^ of^ the^ white^ cafs^ are^ not^ convertibles.
{a} Complete^ the^ freql.rency^ tree.
'Lff:r."ec"tifoIes
Cc*r-'ert{bl,es
".: t!,,_ (^) - (^) - .-....'i (^) -. -- - (^). :-".- -".t-)-.1=.] t-.1 (^) - ,-
convertible? (^) I ,+ q
86 people took driving tests last rnonth. 30 of the people lvere male^ " 90% of tl:e rnales passed^ their^ test,^ and^ 75ala^ of^ the^ females passed^ their^ test.
(a) Complete the kequency tree.
Fassed test
Failed test
Passed test
Faileci test
40'/,
7 s'/,
olr
sI (^) 5r*= (^) +z
30= (^) La
{b} How^ many^ of^ the 86^ people t++Z (^) c
Last week, they sold 26 ham haguettes and 45^ cheese^ rolls. 75 of the totaL l2O iterns^ sold were^ rolls.
Complete the frequency tree.
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t.
He made note of the number of times he was late to work on 85 days last year. Archie travelled by bus on 35 days.
{a} Cornpiete^ the^ freqr"rency^ tree^ below.
of days Archie was late travelling by train.
tsus * 1/?g=^ ZO'/, Tra,n* S/so =
l8'1,
25O students can-r play rugby or football, and cricket cr tennis. 150 play football. 35 play^ tennis ancl rugby. 5O% of the (^) students who play football play cricket.
Cornplete the frequency tree bel.ow.
ftq (^) Fgrgg,nlr45e o[^ earyr^ &rchie uot$ (^) ta.te b, b-s kr41 (^) tr1f LL^rrn (^) by (^) LA3A-,
6{r/, 6I IGC>^ 4
{}n tin:e
{_}r1 (^) L1fl1e
75oh af^ the^ staff at the^ hospital^ are nurses" The hospital ernploys 95 part-tirne^ nurses.
{a} Complete^ the^ f,requency^ tree below. Fu11-time
I)octors Part-time
Fri11-time
-75'/. (^) oF 6cO:- t+5o
(b) Hcw rnany part-tirne^ staff^ do^ the^ hospita-l^ emptroy? tto (^) *45 a (^) t
They are wearing either shorts or^ trousers,^ and^ either^ shoes^ or^ sandals" There are 23 people^ wearing shorts.
How rnany people^ are^ wearing^ saldals?
Fart-tir,l:re